FE Practice Questions

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2 m^3 of an ideal gas is compressed from 100 kPa to 200 kPa. As a result of the process, the internal energy of the gas increases by 10 kJ , and 140 kJ of heat is lost to the surroundings. What is most nearly the work done by the gas during the process? (A) -150 kJ (B) -130 kJ (C) -85 kJ (D) -45 kJ

5 kmol of water vapor at 100*C and 1 atm are condensed from an initial volume of 153 L to a liquid state at 100*C. The molecular weight of water is 18.016 kg/kmol, and the specific volume of the liquid is 0.001044 m^3/kg. What is most nearly the work done by the atmosphere on the water? (A) 6.0 kJ (B) 6.2 kJ (C) 6.0 MJ (D) 6.2 MJ

80 kg of water is sealed in a 0.5 m^3 rigid container and is heated to 425*C. The critical temperature of steam is 647.1K, and the critical pressure of steam is 22.06 MPa. Treating steam as a real gas, what is most nearly the pressure in the container? (A) 20 MPa (B) 33 MPa (C) 40 MPa (D) 52 MPa

A 10 cm diameter sphere floats half submerged in 20*C water. The density of water at 20*C is 998 kg/m^3. The mass of the sphere is most nearly (A) 0.26 kg (B) 0.52 kg (C) 0.80 kg (D) 2.6 kg

A 100 kg block is pulled along a smooth, flat surface by an external 500 N force. If the coefficient of friction between the block and the surface is 0.15, approximately what horizontal acceleration is experienced by the block due to the external force? (See Dynamics DE for image) (A) 3.2 m/s^2 (B) 3.8 m/s^2 (C) 4.3 m/s^2 (D) 5.0 m/s^2

A 2000 kg car pulls a 500 kg trailer. The car and trailer accelerate from 50 km/h to 75 km/h at a rate of 1 m/s^2. The linear impulse that the car imparts to the trailer is most nearly (A) 3500 Ns (B) 8700 Ns (C) 13000 Ns (D) 17000 Ns Dynamics DE

A 25 cm long piece of elastic material is placed under a 25000 N tensile force and elongated by 0.01 m. The material is stressed within its proportional limit. What is most nearly the elastic strain energy stored in the steel? (A) 130 J (B) 150 J (C) 180 J (D) 250 J

A 25 mm diameter, 1 m long aluminum rod is loaded axially in tension as shown. Aluminum has a modulus of elasticity of 69 GPa and a Poisson's ratio of 0.35. (See Mechanics DE) What is the approximate decrease in diameter of the rod due to the applied load? (A) -260 mm (B) -170 mm (C) -73 mm (D) -30 mm

A 3500 kg car traveling at 65 km/h skids. The car hits a wall 3 s later. The coefficient of friction between the tires and the road is 0.60, and the speed of the car when it hits the wall is 0.20 m/s. What is most nearly the energy that the bumper must absorb in order to prevent damage to the rest of the car? (A) 70 J (B) 140 J (C) 220 J (D) 360 kJ 40-2

A 5 m long steel bar with a cross-sectional area of 0.01 m^2 is connected to a compression spring as shown. The spring has a stiffness of 2 x 10^8 N/m and is initially undeformed. The bar is fixed at its base. The temperature of the bar is increased by 70*C. Steel has a modulus of elasticity of 210 GPa and a coefficient of thermal expansion of 11.7 x 10^-6 1/*C. (SEE Mechanics DE ) What is most nearly the resulting force in the spring? (A) 550 kN (B) 820 kN (C) 1600 kN (D) 1700 kN

A DC motor armature draws 100 A while generating a magnetic flux of 0.02 Wb. The armature constant is Ka = 1 Vmin/Wb. What is most nearly the motor's developed torque? (A) 19 Nm (B) 24 Nm (C) 32 Nm (D) 51 Nm 36-6

A bolted joint with a joint coefficient of 0.14 experiences a 26 kN tension. The bolt is initially preloaded to 7.5 kN. What is most nearly the maximum bolt load? (A) 11 kN (B) 24 kN (C) 32 kN (D) 43 kN Mechanical DE

A closed tank with the dimensions shown contains water. The air pressure in the tank is 700 kPa. Point P is located halfway up the inclined wall. The pressure at point P is most nearly (A) 920 kPA (B) 1900 kPA (C) 7200 kPA (D) 8100 kPA (See 8-5 for image)

A computer will be purchased at $3900. The expected salvage value at the end of its service life of 10 years is $1800. Using the straight line method, the annual depreciation for this computer is most nearly (A) $210 (B) $230 (C) $260 (D) $280 50-8

A controlled process is shown in block diagram form. (See Instrumentation DE) What is the closed-loop transfer function describing the effect of d and r on y? (A) (B) (C) (D)

A fisherman cuts his boats engine as it is entering a harbor. The boat comes to a dead stop with its front end touching the dock. The fisherman's mass is 80 kg. He moves 5 m from his seat to be able to reach the dock. If the empty boat has a mass of 300 kg, and disregarding all friction, approximately how far will the fisherman have to jump to reach the dock? (A) 1.1 m (B) 1.3 m (C) 1.9 m (D) 5.0 m Dynamics DE

A fluid flows through a 0.30 m diameter circular tub 2.1 m in length. The following properties have been calculated. ReD = 2100 Pr = 0.71 Absolute Viscosity (Bulk Temp): 850 kg/s*m Absolute Viscosity (Surface Temp): 860 kg/s*m What is most nearly the Nusselt number? (A) 11 (B) 56 (C) 460 (D) 890

A grassy parcel of land shaped like a rhomboid has adjacent sides measuring 50 m and 120 m with a 65* included angle. A small, straight creek runs between the opposing acute corners. A goat is humanely tied to the long rope. Without crossing the creek, most nearly, on what area of grass can the goat graze? (A) 450 m^2 (B) 710 m^2 (C) 910 m^2 (D) 26000 m^2 25-9

A lubricated power screw is used to lower a 100 N load. The screw has a major diameter of 40 mm, a mean diameter of 37.5 mm, and a lead of 7 mm. The coefficient of friction is 0.15. (SEE 43-16 FOR IMAGE) Neglecting collar friction, what is most nearly the torque required to lower the load? (A) 1.7 Nm (B ) 23 Nm (C) 160 Nm (D) 2200 Nm

A mass is hung from a spring, which causes the spring to be displaced by 2 cm. The mass is then pulled down 6 cm and released. What is most nearly the position of the mass after 0.142 s? (A) -0.06 m (B) -0.02 m (C) 0.04 m (D) 0.08 m 41-3

A medical patient exhibits a symptom that occurs naturally 10% of the time in all people. The symptom is also exhibited by all patients who have a particular disease. The incidence of that particular disease among all people is 0.0002%. What is the probability of the patient having the particular disease? (A) 0.002% (B) 0.01% (C) 0.3% (D) 4%

A metal sphere at 750*C with a diameter of 2 cm is enclosed in a vacuum container. The temperature of the surroundings is -20*C. 12 W of power is needed to maintain the sphere's temperature. What is most nearly the emissivity of the sphere? (A) 0.15 (B) 0.20 (C) 0.25 (D) 0.28

A net unbalanced torque acts on a 50 kg cylinder that is allowed to rotate around its longitudinal centroidal axis on frictionless bearings. The cylinder has a radius of 40 cm and a mass moment of inertia of 4 kgm^2. The cylinder accelerates from a standstill with an angular acceleration of 5 rad/s^2. (SEE 38-2 FOR IMAGE) What is most nearly the unbalanced torque on the cylinder? (A) 20 Nm (B) 40 Nm (C) 200 Nm (D) 2000 Nm

A pulley is driven by a belt as shown in the figure below. Neglecting centrifugal effects, the minimum coefficient of friction that will prevent slipping between the belt and the pulley is most nearly: Pulley (300 mm Diameter): 3000N L; 450 N R (A) 0.60 (B) 0.56 (C) 0.31 (D) 0.20 (FE Sample Problem)

A rigid tank contains 10 kg of water at 90 *C. If 8 kg of the water is in liquid form and the rest is in vapor form, determine the volume of the tank. (A) 4.73 m^3 (B) 5.87 m^3 (C) 3.48 m^3 (D) 4.51 m^3

A simple circuit consists of an inductor in series with a sinusoidal voltage. (SEE 35-6 FOR CIRCUIT) Using the applied voltage as the reference, what is most nearly the current through the inductor? (A) 0.21 A<-90* (B) 0.21 A<90* (C) 1.3 A<-90* (D) 1.3 A<90*

A small batch reactor is heated by a two-phase, 240 V (line to line) AC resistance heater for 5 minutes. 3.2 kW are transferred to the reactor contents in a 84% efficient process. Most nearly, what is the resistance of the heater? (A) 15 Ohms (B) 18 Ohms (C) 21 Ohms (D) 75 Ohms 35-8

A solid steel shaft of 200 mm diameter experiences a torque of 135.6 kNm. What is most nearly the maximum shear stress in the shaft? (A) 86 MPa (B) 110 MPa (C) 160 MPa (D) 190 MPa 30-4

A strain gage is to be used in measuring the strain on a test specimen. A strain gage with an initial resistance of 120 ohms exhibits a decrease of 0.120 ohms. The gaga factor is 2.00. The initial length of the strain gage was 1.000 cm. What is most nearly the final length of the strain gage? (A) 0.9995 cm (B) 1.0000 cm (C) 1.0005 cm (D) 1.0050 cm 47-5

A system is governed by the following differential equations. x2dot + a1x1dot + a0x1 = u(t) x1dot = -x2 The output of the system is y1(t) = 3x1 y2(t) = 4x1 - 5x1dot The output matrix of the state-variable control system is (A) [3, 0; 4, 5] (B) [a1; a0] (C) [a1, 0; 0, a0] (D) [-5, 3; 4, 0] 48-14

A tensile test is performed on a 12-mm-diameter aluminum alloy specimen (v = 0.33) using a 50-mm gage length. When an axial load reaches a value of 16 kN, the gage length has increased by 0.10 mm. What is most nearly, the decrease in diameter? (A) 720 micrometers (B) 865 micrometers (C) 546 micrometers (D) 1005 micrometers (ADV STRESS Ch 2 Part 2)

A vessel is initially connected to a reservoir open to the atmosphere. The connecting valve is then closed, and a vacuum of 65.5 kPa is applied to the vessel. Assume standard atmospheric pressure. What is most nearly the absolute pressure in the vessel (A) 36kPa (B) 66kPa (C) 86kPa (D) 110kPa

A wall has a film coefficient of 3500 W/m^2*C. What is most nearly the thermal resistance pf a 1 m^2 area of the wall? (A) 0.29*C/kW (B) 0.33*C/kW (C) 0.68*C/kW (D) 3.5*C/kW

Air at 300K flows at 0.45 m/s over the surface of a 1 m x 1 m flat plate. The average kinematic viscosity of the air is 20.92 x 10^-6 m^2/s, the Prandtl number is 0.7, and the thermal conductivity is 30 x 10^-3 W/mK. If the surface temperature of the plate is 400K, the average heat transfer coefficient is most nearly (A) 2.6 W/m^2K (B) 5.0 W/m^2K (C) 7.5 W/m^2K (D) 8.2 W/m^2K

Air at 300k flows at 1.0 m/s. The ratio of specific heats for air is 1.4, and the specific gas constant is 287 J/kg*K. The Mach Number for the air is most nearly (A) 0.003 (B) 0.008 (C) 0.02 (D) 0.07

Air at 40*C flows at 0.65 m/s over a flat plat 1.5 m on each side. The Reynolds number is 56000. The Prandlt number is 0.71. What is most nearly the average Nusselt number? (A) 140 (B) 180 (C) 320 (D) 560

Air at 80*C originally occupies 0.5 m^3 at 200 kPa. the gas is compressed reversibly and adiabatically to 1.20 MPa. What is most nearly the heat flow? (A) 0 J (B) 0.69 J (C) 0.82 J (D) 1.5 J

Air enters a straight duct at 300K and 300 kPa and with a velocity of 150 m/s. The specific heat of the air is 1004.6 J/kg*K. Assuming adiabatic flow and an ideal gas, the stagnation temperature is most nearly (A) 310K (B) 330K (C) 350K (D) 380K

All of the following metals will corrode if immersed in fresh water EXCEPT (A) copper (B) nickel (C) chromium (D) aluminum (SEE Material Prop Diagnostic Exam)

An engineer working for a big design firm has decided to start a consulting business, but it will be a few months before she leaves. How should she handle the impending change? (A) The engineer should discuss her plans with her current employer. (B) The engineer may approach the firm's other employees while still working for the firm. (C) The engineer should immediately quit. (D) The engineer should return all of the pens, pencils, pads of paper, and other equipment she has brought home over the years. Ethics DE

An ideal gas undergoes a reversible isothermal expansion at 50*C. 200 kJ of heat enter the process. What is nearly the change in air entropy at the end of the process? (A) 0.62 kJ/kg (B) 0.72 kJ/kg (C) 0.90 kJ/kg (D) 1.0 kJ/kg

An inclined force, F, is applied to a block of mass m. There is no movement due to sliding. (SEE STATICS DIAGNOSTIC EXAM) What is the minimum coefficient of statics friction between the block and the ramp surface such that no motion occurs? (A) (4F)/(3F+5mg) (B) (Ftan(theta))/(mg) (C) (3F)/(4F+5mg) (D) (F/mg)

An open reservoir with a water surface level at an elevation of 200 m drains through a 1 m diameter pipe with the outlet at an elevation of 180 m. The pipe outlet discharges to atmospheric pressure. The total head losses in the pipe and fittings are 18 m. Assume steady incompressible flow. The flow rate from the outlet is most nearly (A) 4.9 m^3/s (B) 6.3 m^3/s (C) 31 m^3/s (D) 39 m^3/s

As a professional engineer originally licensed 30 years ago, you are asked to evaluate a newly developed computerized control system for a public transportation system. You may accept this project if: (A) you are competent in the area of modern control systems (B) you do not live in the jurisdiction where the transportation system is being installed (C) your original area of specialization was in transportation systems (D) you have regularly attended meetings of a professional engineering society (FE Sample Problem)

Based on the radiation conservation law, if the absorptivity of a body is 48%, and the reflectivity is 36%, most nearly what is the transmissivity? (A) 16% (B) 36% (C) 48% (D) 84

Calculate the approximate rate of return for an investment with the following characteristics. Initial Cost: $20,000 Project Life: 10 yr Salvage Value: $5000 Annual Receipts: $7500 Annual Disbursements $3000 (A) 20% (B) 21% (C) 23% (D) 25% Engineering Economics

Concrete has a thermal conductivity of 1.4 W/m*C. What is most nearly the thermal resistance of a 20 cm thick concrete wall with an exposed face area of 1 m^2? (A) 0.14 *C/W (B) 0.28*C/W (C) 1.4*C/W (D) 7.0*C/W

Cost estimates for a proposed public facility are being evaluated. Initial cost is anticipated to be $120,000, and annual maintenance expenses are expected to be $6500 for the first 20 years and $2000 for every year thereafter. The facility is to be used and maintained for an indefinite period of time. Using an interest rate of 10% per year, the capitalized cost of this facility is most nearly (A) $180,000 (B) $190,000 (C) $200,000 (D) $270,000 Engineering Economics DE

Evaluate dy/dx for the following expression. y = (e^-x)sin(2x) (A) e^(-x)(2cos(2x) -sin(2x)) (B) -e^(-x)(2xsin(2x) + cos(2x)) (C) e^(-x)(2xsin(2x) + cos(2x)) (D) -e^(-x)(2cos(2x) -sin(2x))

Find the unit vector (i.e, the direction vector) associated with the origin-based vector 18i + 3j + 29k. (A) 0.525i + 0.088j + 0.846k (B) 0.892i + 0.178j + 0.416k (C) 01.342i + 0.868j + 2.437k (D) 6i + j (29/3)k

How is the output function Y(s) related to the input functions R(s) and L(s) for the feedback control system shown? (SEE 48-4) (A) Y = (RG1G2)/(1+G1G2H) + (LG2)/(1+G1G2H) (B) Y = (R+L)( (G1G2)/(1+G1G2H) + (G1G2)/(1+G1G2H)) (C) Y = (RG1)/(1 + G1G2H) + (LG2)/(1+G1G2H) (D Y = (RG1G2)/(1+G1G2H) + (LG2)/(1+G2H)

If the modulus of elasticity is 210 GPa, what is most nearly the maximum unbraced length the rod can be without experiencing buckling failure? (A) 1.3 m (B) 1.7 m (C) 4.9 m (D) 12 m

In the ideal transformer shown, coil 1 has 500 turns, V1 is 1200 V, and V2 is 240 V. (SEE 35-11 FOR IMAGE) How many turns does coil 2 have? (A) 100 turns (B) 200 turns (C) 500 turns (D) 1000 turns

Match the phase description 1. Perfect gas 2. Saturated vapor 3. Superheated vapor 4. Ideal gas I. A gas is a highly superheated vapor. If the gas behaves according to the ideal gas law, it is called ________ II. A _____________________ is one that has absorbed more energy than is needed to vaporize it. A _____________ will not condense when small amounts of energy are removed. III. A vapor that is on the verge of condensing is called a ________________. IV. A ______________ is an ideal gas whose specific heats are constant (A) 4, 3, 2, 1 (B) 1, 2, 3, 4 (C) 2, 3, 4, 1 (D) 2, 4, 1, 3

Money is invested at 5% per annum and compounded quarterly. The effective annual interest rate is most nearly (A) 5.1% (B) 5.2% (C) 5.4% (D) 5.5% 50-8

Refrigerant HFC-134a at 0.8 MPa and 70*C is cooled and condensed at constant pressure in a steady-state process until it is a saturated liquid. Cooling water enters the condenser at 20*C and leaves at 30*C. If the mass flow rate of the refrigerant is 0.1 kg/s, the mass flow rate of the cooling water is most nearly (A) 0.51 kg/s (B) 0.65 kg/s (C) 0.70 kg/s (D) 0.75 kg/s

Standard enthalpies of formation for some gases are given. C2H5OG(l): -228 kJ/mol CO: -111 kJ/mol CO2: -394 kJ/mol H2O(g): -242 kJ/mol H2O(l): -286 kJ/mol NO: +30 kJ/mol Most nearly, what is the standard enthalpy of reaction for the complete combustion of ethanol, C2H5OH? (A) -1400 kJ/mol (B) -1300 kJ/mol (C) -1100 kJ/mol (D) -910 kJ/mol

The 40 kg mass, m, shown is acted upon by a spring and guided by a frictionless rail. When the compressed spring is released, the mass stops slightly short of point A. The spring constant, k, is 3000 N/m, and the spring is compressed 0.5 m. (SEE 40-4 FOR IMAGE) What is most nearly the energy stored in the spring? (A) 380 J (B) 750 J (C) 1500 J (D) 2100 J

The American Standard Code for Information Interchange (ASCII) control character "LF" stands for (A) line feed (B) large format (C) limit function (D) large font 49-1

The center of a circle with a radius of 7 cm is located at (x,y) = (3 cm, 4 cm). Most nearly, what is the minimum distance that the origin of the x- and y-axes would have to be moved in order to reduce the product of inertia to its smallest absolute value? (A) 3 cm (B) 4 cm (C) 5 cm (D) 7 cm

The density of air flowing in a duct is 1.15 kg/m^3. A pitot tube is placed in the duct as shown. The static pressure in the duct is measured with a wall tap and pressure gage. The static pressure is read at 6000 pa, while the impact pressure is 7000 pa. From the gage readings, the velocity of the air is most nearly (A) 42 m/s (B) 100 m/s (C) 110 m/s (D) 150 m/s

The dielectric material in the capacitor shown has a permittivity of 24e0 (that is, the permittivity is 24 times that of a vacuum). (See Electrical DE) What is most nearly the capacitance? (A) 3.4 x 10^-10 F (B) 6.8 x 10^-10 F (C) 3.4 x 10^-7 F (D) 6.7 x 10^-6 F

The following data were recorded from a laboratory experiment. 20, 25, 30, 32, 27, 22 The mean of the data is 26. What is most nearly the sample coefficient of variation of the data? (A) 0.18 (B) 1.1 (C) 2.4 (D) 4.6

The following flow chart represents an algorithm (See Computational Tools DE) which of the following structured programming segments correctly translates the algorithm? (A) (B) (C) (D)

The four-bar linkage system shown is configured into the open position. The values of theta2, K1, K2, and K3 are 65 degrees, 0.58, 0.68, and 1.2, respectively. (SEE 43-18 FOR IMAGE) What is most nearly the value of angle theta4? (A) 93 degrees (B) 98 degrees (C) 110 degrees (D) 130 degrees

The heights of several thousand fifth-grade boys in Santa Clara County are measured. The mean of the heights is 1.20 m, and the variance is 25 x 10^-4 m^2. Approximately what percentage of these boys is taller than 1.23 m? (A) 27% (B) 31% (C) 69% (D) 73%

The least squares method is used to plot a straight line through the data points (5,-5), (3,-2), (2,3) and (-1,7). The correlation coefficient is most nearly (A) -0.97 (B) -0.92 (C) -0.88 (D) -0.80

The moment of inertia about the x'-axis of the cross section (I beam) is 334000 cm^4. The cross-sectional area is 86 cm^2, and the thicknesses of the web and the flange are the same. The bottom of the I beam is located 40cm from the x' axis and the total height of the I beam is 40cm. What is most nearly the moment of inertia about the centroidal axis? (A) 2.4 x 10^4 cm^4 (B) 7.4 x 10^4 cm^4 (C) 2.0 x 10^5 cm^4 (D) 6.4 x 10^5 cm^4

The moment of inertia about the x'-axis of the cross section shown is 334000 cm^4. The cross-sectional area is 86 cm^2, and the thickness of the web and the flanges are the same. (SEE 25-13 FOR IMAGE) (A) 2.4 x 10^4 cm^4 (B) 7.4 x 10^ 4 cm^4 (C) 2.0 x 10^4 cm^4 (D) 6.4 x 10^4 cm^4

The owner of a construction site is aware that the state driving license of one its heavy machinery operators has been suspended for multiple driving under the influence (DUI) violations. In order to secure a desirable standing and contract with an abstinence-based commune, the owner misrepresents the non-drinking status of the construction crew. A serious injury occurs when the operator drives a loader over the leg of a member of the commune while intoxicated. Most likely, the commune will be able to obtain a judgment against the operator based on (A) negligence (B) breach of contract (C) misrepresentation (D) fraud 51-5

The period of oscillation of a clock balance wheel is 0.3s. The wheel is constructed as a slender ring with its 30 g mass uniformly distributed around a 0.6 cm radius. What is most nearly the wheel's moment of inertia? (A) 1.1 x 10^-6 kg m^2 (B) 1.6 x 10^-6 kg m^2 (C) 2.1 x 10^-6 kg m^2 (D) 2.6 x 10^-6 kg m^2 39-3

The position of a particle in Cartesian coordinates over time is x = 5t in the x-direction, y = 6t in the y-direction, and z = 5t in the z-direction. What is the vector form of the particles position, r? (A) r = 5ti + 6tj + 5tk (B) r = 5ti + 6tj + 6tk (C) r = 6ti + 5tj + 5tk (D) r = 6ti + 5tj + 6tk 37-2

The position of a particle moving along the x-axis is given by r(t) = t^2 -t + 8, where r is in units of meters and t is in seconds. What is most nearly the velocity of the particle when t = 5s? (A) 9.0 m/s (B) 10 m/s (C) 11 m/s (D) 12 m/s 37-2

The state of an ideal gas is changed in a steady-state open polytropic process from 400 kPa and 1.2 m^3 to 300 kPa and 1.5 m^3. The polytropic exponent is 1.3. Most nearly, what is the worked performed? (A) 130 kJ (B) 930 kJ (C) 1200 kJ (D) 9000 kJ

The stress-strain curve for a nonlinear, perfectly elastic material is shown. A sample of the material is loaded until the stress reaches the value at point B. Then, the material is unloaded to zero stress. (SEE Material Prop Diagnostic Exam) What is most nearly the permanent set in the material? (A) 0 (B) 0.001 (C) 0.002 (D) 0.003

The structure shown is formed of three separate solid aluminum cylindrical rods, each with a 1 cm diameter. (SEE 25-3 FOR IMAGE) What is the approximate x-coordinate of the centroid of the structure? (A) 14.0 cm (B) 15.2 cm (C) 15.9 cm (D) 16.0 cm

Through an isentropic process, a piston compresses 2 kg of an ideal gas at 150 kPa and 35*C in a cylinder to a pressure of 300 kPa. The specific heat of the gas for constant pressure processes is 5 kJ/kg*K; for constant volume processes, the specific heat is 3 kJ/kg*K. The final temperature of the gas is most nearly (A) 130*C (B) 190*C (C) 210*C (D) 260*C

Using the property that |AB| = |A||B| for two square matrices, what is |A^(-1)| in terms of |A| for any invertible square matrix A? (A) 1/|A| (B) 1/|A^-1| (C) |A|/|A^-1| (D) |A^-1|/|A|

Water at 25*C flows perpendicularly over a long, hot pipe of 2.9 cm outside diameter. The water has an average convection film coefficient of 4900 W/m^2*K and a thermal conductivity of 610 x 10^-3 W/m*K. The Nusselt Number is most nearly (A) 230 (B) 290 (C) 350 (D) 410

Water at 50*C and 1 atm has a specific enthalpy of 209.33 kJ/kg and a specific entropy of 0.7038 kJ/kg*K. What is most nearly the Gibbs function for the water? (A) -18 kJ/kg (B) -3.0 kJ/kg (C) 300 kJ/kg (D) 440 kJ/kg

Water flows steadily at a rate of 60 kg/min through a pump. The water pressure is increased from 50 kPa to 5000 kPa. The average specific volume of the water is 0.001 m^3/kg. Most nearly, what is the hydraulic power delivered to the water by the pump? (A) 5 kW (B) 60 kW (C) 300 kW (D) 500 kW

Water leaves a faucet tap with a constant velocity of Vtap = 1 m/s and then is accelerated downward due to gravity. The tap has a diameter of 3 cm. As it falls, the cross-sectional area of the water stream decreases. Calculate the water velocity and the cross-sectional area of the water stream two meters below the tap outler? (A) 6..34 m/s; 111.42 mm^2 (B) 8.64 m/s; 568. 45 mm^2 (C) 6.12 m/s; 687 mm^2 (D) 5.46 m/s; 86.54 mm^2

What are most nearly the Thevenin equivalent resistance and voltage between terminals A and B? (See Electrical DE) (A) Rth = 3.0 Ohms, Vth= 45 V (B) Rth = 7.5 Ohms, Vth = 7.5 V (C) Rth = 7.5 Ohms, Vth = 60 V (D) Rth = 12 Ohms, Vth = 5.0 V

What are most nearly the area and the y-coordinate. respectively, of the centroid of the trapezoid shown? (SEE 25-6 FOR IMAGE) (A) 95 cm^2; 4.6 cm (B) 110 cm^2; 5.4 cm (C) 120 cm^2; 6.1 cm (D) 140 cm^2; 7.2 cm

What is most nearly the area of the shaded section above the parabolic curve shown? (SEE 25-10 FOR IMAGE) (A) 7 cm^2 (B) 9 cm^2 (C) 11 cm^2 (D) 14 cm^2

What is most nearly the minimum required basic load rating for a single row of ball bearings with an equivalent radial load of 22 kN and a design life of 340000 revolutions? (A) 15 kN (B) 16 kN (C) 22 kN (D) 33 kN 43-15

What is most nearly the spring index of the spring shown? (SEE 43-4 FOR IMAGE) (A) 5 (B) 6 (C) 7 (D) 10

What is most nearly the voltage across the 10 ohm resistor in the circuit shown? (See Electrical DE) (A) 9.5 V (B) 24 V (C) 33 V (D) 57 V

What is most nearly the weight in lbf if a 1.00lbm object in a gravitational field of 27.5ft/s^2? (A) 0.85lbf (B) 1.2lbf (C) 28lbf (D) 32lbf

What is most nearly the x-component of the 300 N force at point D on the member shown? (SEE 22-2 for Image) (A) 120 N (B) 130 N (C) 180 N (D) 240 N

What is the Laplace transform of f(t) = e^(-6t)? (A) 1/(s+6) (B) 1/(s-6) (C) e^(-6 + s) (D) e^(6+s)

What is the determinant of matrix A? A = [3, 6; 2, 4] (A) 0 (B) 15 (C) 14 (D) 26

Which of these vector identities is INCORRECT? (A) A dot A = 0 (B) A x A = 0 (C) A dot B = B dot A (D )A cross B = -B cross A

Which statement is FALSE? (A) The amount of percentage of cold work cannot be obtained from information about change in the area or thickness of a metal (B) The process of applying force to a metal at temperatures below the temperature of crystallization in order to plastically deform the metal is called cold working. (C) Annealing eliminates most of the defects caused by the cold working of a metal (D) Annealing reduces the hardness of the metal

0.5 m^3 of superheated steam at 400 kPa and 300*C is expanded behind a piston until the temperature is 210*C. The steam expands polytropically with a polytropic exponent of 1.3. The final volume and pressure of the steam are 0.884 m^3 and 190.7 kPa, respectively. What is most nearly the total work done during the expansion process? (A) 24 kJ (B) 100 kJ (C) 330 kJ (D) 420 kJ

0.5 m^3 of superheated steam has a pressure of 400 kPa and temperature of 300*C. What is most nearly the mass of the steam? (A) 0.040 kg (B) 0.76 kg (C) 42 kg (D) 55 kg

100 resistors produced by company A and 150 resistors produced by company B are tested to find their limits before burning out. The test results show that the company A resistors have a mean rating of 2 W before burning out, with a standard deviation of 0.30 W. What are the 95% confidence limits for the difference between the two means for the company A resistors and company B resistors (A-B)? (A) -1.1 W; -1.0W (B) -1.1W; -0.93W (C) -1.1W; 0..90W (D) -1.0W; -0.99W (6-16)

15 kg/s of air are compressed from 1 atm and 300K (enthalpy of 300.19 kJ/kg) to 2 atm and 900K (enthalpy of 732.93 kJ/kg). Heat transfer is negligible. The air compressor's power output is most nearly (A) 5.6 MW (B) 6.5 MW (C) 7.6 MW (D) 8.9 MW

32*C water flows at 2 m/s through a pipe that has an inside diameter of 3 cm. The viscosity of the water is 769 x 10^-6 N*s/m^2, and the density of the water is 995 kg/m^3. The kinematic viscosity of the water is most nearly (A) 0.71 x 10^-6 m^2/s (B) 0.77 x 10^-6 m^2/s (C) 0.84 x 10^-6 m^2/s (D) 0.92 x 10^-6 m^2/s

A 0.5 m long cast iron pipe has an inner diameter of 6 cm and an outer diameter of 6.5 cm. The thermal conductivity of cast iron is 80 W/mK. The thermal resistance of the pipe is most nearly (A) 0.000080 K/W (B) 0.00032 K/W (C) 0.00064 K/W (D) 0.0010 K/W

A 1 m x 1 m x 0.01 m square steel plate (modulus of elasticity = 200 GPa) is loaded in tension parallel to one of its long edges. The resulting 30 MPa stress is uniform across the 1 m x 0.01 m cross section. Poisson's ratio of steel is 0.29. Neglecting the change in plate thickness, the new dimensions of the plate are most nearly (A) 1000.15 mm x 999.852 mm (B) 1000.15 mm x 999.957 mm (C) 1000.15 mm x 1000.05 mm (D) 1000.20 mm x 1000.50 mm 29-3

A 1 m^3 volume of gas has a mass of 1.2 kg. What is most nearly the specific volume of the gas? (A) 730 cm^3/g (B) 830 cm^3/g (C) 890 cm^3/g (D) 940 cm^3/g

A 10 kg block is resting on a horizontal circular disk at a radius of 0.5 m from the center. The coefficient of friction between the block and the disk is 0.2. The disk rotates with a uniform angular velocity. What is most nearly the minimum angular velocity of the disk that will cause the block to slip? (A) 1.4 rad/s (B) 2.0 rad/s (C) 3.9 rad/s (D) 4.4 rad/s Dynamics DE

A 10 kg homogeneous disk of 5 cm radius rotates on a massless axle AB of length 0.5 m and rotates about a fixed point A. The disk is constrained to roll on a horizontal floor. (SEE 40-2 FOR IMAGE) Given an angular velocity of 30 rad/s about the x-axis and -3 rad/s about the y-axis, the kinetic energy of the disk is most nearly (A) 5.6 J (B) 17 J (C) 23 J (D) 34 J

A 10 kg mass is supported axially by an aluminum alloy pipe with an outside diameter of 10 cm and an inside diameter of 9.6 cm. The pipe is 1.2 m long. The modulus of elasticity for the aluminum alloy is 7.5 x 10^4 MPa. Approximately how much does the pipe compress? (A) 0.00025 mm (B) 0.0025 mm (C) 0.11 mm (D) 25 mm 29-4

A 10 m long ladder rests against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.4. The combined weight of the ladder and an individual can be idealized as an 800 N force applied at point B, as shown. (SEE DE STATICS FOR IMAGE) What is most nearly the horizontal frictional force between the ladder and the floor? (A) 180 N (B) 220 N (C) 270 N (D) 320 N

A 10 m x 5 m rectangular steel plate is loaded in compression by two opposing triangular distributed loads as shown. Steel has a modulus of elasticity of 2.1 x 10^11 Pa and a Poisson's ratio of 0.3. Buckling may be disregarded. (SEE Mechanics DE) What is most nearly the shear stress om the x-direction? (A) -6.3 Pa (B) 0 Pa (C) 3.1 Pa (D) 6.3 Pa

A 12 cm x 8 cm high rectangle is placed such that its centroid is located at the origin (0, 0). What is the percentage change in the product of inertia if the rectangle is rotated 90* counterclockwise about the origin? (A) -32% (decrease) (B) 0% (C) 32% (increase) (D) 64% (increase) 25-6

A 150 m long surface vessel with a speed of 40 km/h is modeled at a scale of 1:50. Similarity based on Froude numbers is appropriate for the modeling of surface vessels, so the model should travel at a speed most nearly (A) 0.22 m/s (B) 1.6 m/s (C) 2.2 m/s (D) 16 m/s (See 9-13)

A 2 m long aluminum bar (modulus of elasticity = 69 GPa) is subjected to a tensile stress of 175 MPa. What is most nearly the elongation? (A) 4 mm (B) 5 mm (C) 8 mm (D) 9 mm 29-2

A 200 m cable is suspended vertically. At any point along the cable, the strain is proportional to the length of the cable below that point. If the strain at the top of the cable is 0.001, what is most nearly the total elongation of the cable? (A) 0.050 m (B) 0.10 m (C) 0.15 m (D) 0.20 m 29-2

A 30 cm long rod (E= 3 x 10^7 N/cm^2, alpha = 6 x 10^-6 cm/cmC) with a 2 cm^2 cross section is fixed at both ends. If the rod is heated to 60C above the neutral temperature, what is most nearly the stress? (A) 110 N/cm^2 (B) 11000 N/cm^2 (C) 36000 N/cm^2 (D) 57000 N/cm^2 30-2

A 32 mm diameter, 2 m long aluminum rod is loaded axially in tension as shown. Aluminum has a modulus of elasticity of 69 GPa and a Poisson's ratio of 0.35 (SEE Mechanics DE) What is most nearly the total stored strain energy in the rod as a result of the loading? (A) 0.12 J (B) 0.23 J (C) 0.46 J (D) 0.58 J

A 40-year-old consulting engineer wants to set up a retirement fund to be used starting at age 65. $20,000 is invested now at 6% compounded annually. The amount of money that will be in the fund at retirement is most nearly (A) $84,000 (B) $86,000 (C) $88,000 (D) $92,000 50-4

A 50 N wheel has a mass moment of inertia of 2 kg m^2. The wheel is subjected to a constant 1 Nm torque. What is most nearly the angular velocity of the wheel 5 s after the torque is applied? (A) 0.5 rad/s (B) 3 rad/s (C) 5 rad/s (D) 10 rad/s 39-8

A 60000 kg railcar moving at 1 km/h is instantaneously coupled to a stationary 40000 kg railcar. What is most nearly the speed of the coupled cars? (A) 0.40 km/h (B) 0.60 km/h (C) 0.88 km/h (D) 1.0 km/h

A 94 N force is applied to a 50 mm long spring made of 2 mm steel wire (shear modulus of 80 GPa). The spring has 7 active coils and a mean diameter of 12 mm. The spring ends are closed. What is most nearly the spring constant? (A) 2.5 N/mm (B) 13 N/mm (C) 27 N/mm (D) 36 N/mm Mechanical DE

A Rankine steam cycle operates between the pressure limits of 600 kPa and 10 kPa. The turbine inlet temperature is 300*C. The liquid water leaving the condenser is saturated. (The enthalpies of the steam at the various points on the cycle are shown in the illustration (15-4)). Most nearly, what is the thermal efficiency of the cycle? (A) 19% (B) 25% (C) 32% (D) 48%

A bag contains seven orange balls, eight green balls, and two white balls. Two balls are drawn from the bag without replacing either of them. Most nearly, what is the probability that the first ball drawn is white and the second ball drawn in orange? (A) 0.036 (B) 0.052 (C) 0.10 (D) 0.53

A beam of length L carries a concentrated load, P, at point C. (SEE 31-6 FOR IMAGE) Determine the deflection at point C in terms of P, L, E, and I, where E is the modulus of elasticity, and I is the moment of inertia. (A) (2PL^3)/(243EI) (B) (4PL^3)/(243EI) (C) (PL^3)/(27EI) (D) (PL^3)/(9EI)

A binary search is used to determine if a particular test number is present in a sequence of 101 integers derived from a Fibonacci sequence. The numbers are sorted in decreasing magnitude. The smallest number in the sequence is 144. What is the maximum number of comparisons needed to determine if the test number is present? (A) 6 (B) 7 (C) 11 (D) 49 49-8

A bolted joint with a joint coefficient of 0.2 experiences an alternating external tension from 0 kN to 5 kN. The bolt is initially preloaded to 10 kN. What is most nearly the maximum tensile force in the bolt? (A) 5.0 kN (B) 11 kN (C) 12 kN (D) 15 kN 42-5

A boy pulls a sled with a mass of 35 kg horizontally over a surface with a dynamic coefficient of friction of 0.15. What is most nearly the force required for the boy to pull the sled? (A) 49 N (B) 52 N (C) 55 N (D) 58 N 38-4

A calculation is made by combining three measurements, x1, x2, and x3, using the equation shown. The uncertainties of the measurements are +/-0.03, +/-0.05, and +/- 0.07, respectively. f = 3x1-5x2+7x2 What is most nearly the estimated uncertainty of the calculation? (A) 0.34 (B) 0.56 (C) 0.67 (D) 0.79 47-9

A cat has a litter of seven kittens. If the probability that any given kitten will be female is 0.52, what is the probability that exactly two of the seven will be male? (A) 0.07 (B) 0.18 (C) 0.23 (D) 0.29

A circular sector has an area of 3 m^2 and a central angle of 50*. What is most nearly the radius? (A) 1.5m (B) 2.6m (C) 3.0m (D) 3.3m (1-17)

A composite cross section is made up of two identical members - horizontally oriented member A and vertically oriented member B - as shown. The neutral axis passes through member B. (See 31-5 FOR IMAGE) What is most nearly the first moment of area for member A? (A) 0.12 m^3 (B) 0.19 m^3 (C) 0.24 m^3 (D) 0.31 m^3

A composite material is 57% resin (density of 2.3g/cm^3) and 43% unidirectionally placed carbon fibers (1.05 g/cm^3) by volume. The material has a composite modulus of elasticity of 400 GPa parallel to the carbon fibers. What is most nearly the density of the composite material? (A) 1.3 g/cm^3 (B) 1.8 g/cm^3 (C) 1.9 g/cm^3 (D) 2.2 g/cm^3 27-13

A computer structured programming segment contains the following program segment. Set G = 1 and X = 0 DO WHILE G <= 5 G = G*X + 1 x = G ENDWHILE What is the value of G after the segment is executed? (A) 5 (B) 26 (C) 63 (D) The loop never ends 49-5

A control system has an open loop gain of 1 (0 dB) at the frequency where its phase angle is -200 degrees. What is the phase margin? (A) -10 degrees (B) -20 degrees (C) -60 degrees (D) -120 degrees 48-8

A controlled process is described by the closed-loop transfer functions G(s). G(s) = (K(s+1))/(2s^2 + (K-1)s + (K-1)) What values of K will stabilize the process? (A) K < 1 (B) K > 1 (C) K > 0.75 (D) K >= 0 Instrumentation DE

A fluid flows through a long circular tube with uniform surface temperature. The following properties have been calculated ReD = 22000 Pr = 0.75 Absolute Viscosity (Bulk Temp): 840 kg/s*m Absolute Viscosity (Surface Temp): 850 kg/s*m What is most nearly the Nusselt number? (A) 53 (B) 62 (C) 320 (D) 1500

A gas goes through the following thermodynamic processes. A to B: constant-temperature compression B to C: constant-volume cooling C to A: constant-pressure expansion The pressure and volume at state C are 140 kPa and 0.028m^3, respectively. The net work during the C-to-A process is 10.5 kJ. Most nearly, what is the volume at A? (A) 0.07 m^3 (B) 0.10 m^3 (C) 0.19 m^3 (D) 0.24 m^3 (See 14-5 for graph)

A gas mixture consisting of 4 moles of N2, 2.5 moles of CO2, and unknown amount of CO is held at two times atmospheric pressure in a container with a volume of 0.13 m^3. The total moles in the mixture is 8.5. The total temperature of the mixture is 100*C. What is most nearly the mass fraction of Co in the mixture? (A) 0.10 (B) 0.20 (C) 0.48 (D) 0.53

A heat exchanger is designed to heat liquid water from 150°C to 190°C inside tubes using steam condensing at 230°C on the outer surface of the tubes. For a constant flow rate, the effect of fouling of the heat transfer surfaces is to: A. increase the temperature rise of the water B. decrease the temperature rise of the water C. increase heat exchanger effectiveness D. make no change in heat exchanger effectiveness (FE Sample Problem)

A helical compression spring has a spring constant of 38.525 N/mm and a free length of 190 mm. The force (N) required to compress the spring to a length of 125 mm is most nearly: A. 1,500 B. 2,500 C. 4,800 D. 6,500 (FE Sample Problem)

A hot solid iron sphere (15 cm diameter) is placed in a bath of cold water. The initial temperature of the sphere is 433K. The sphere is cooled to 303K. The density of iron is 7.874 g/cm^3, and the specific heat capacity of iron is 0.45 kJ/kg*K. The total heat transferred from the sphere to the water is most nearly (A) 190 kJ (B) 810 kJ (C) 1000 kJ (D) 1800 kJ

A large concrete bridge anchorage at 15*C receives 50 GJ of thermal energy from exposure to sunlight. The temperature of the anchorage does not change significantly. What is most nearly the change in entropy within the concrete? (A) 97 MJ/K (B) 170 MJ/K (C) 190 MJ/K (D) 3300 MJ/K

A line goes through the point (4, -6) and is perpendicular to the line y = 4x+10. What is the equation of the line? (A) y=(-1/4)x -20 (B) y=(-1/4)x - 5 (C) y=(1/5)x + 5 (D) y=(1/4)x +5

A machine initially costing $25,000 will have a salvage value of $6000 after five years. Using MACRS depreciation its book value after the third year will ne most nearly (A) $5500 (B) $7200 (C) $10,000 (D) $14,000 50-10

A magnetic field in air has a magnetic flux density of 1 x 10^-8 T. What is most nearly the strength of the magnetic field in a vacuum? (A) 3 x 10^-4 A/m (B) 8 x 10^-3 A/m (C) 3 x 10^-2 A/m (D) 8 x 10^-2 A/m 33-6

A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 713 N; when the elevator starts moving upward, he weighs 816 N. What is most nearly the man's actual mass? (A) 70 kg (B) 73 kg (C) 78 kg (D) 83 kg 38-3

A parallel flow heat exchanger is used to cool oil from 120*C to 60*C. The cooling water enters at 20*C and leaves at 55*C. What is most nearly the log mean temperature difference? (A) 25*C (B) 32*C (C) 140*C (D) 280*C

A portion of computer code contains the instructions "LR," "SC." amd "JL." Most likely, these are (A) machine language (B) assembly language (C) object code (D) interpreted code 49-3

A power line is made of copper (resistivity of 1.83 x 10^-6 ohms x cm). The wiire diameter is 2 cm. What is most nearly the resistance of 5 km of power line? (A) 0.0032 ohms (B) 0.29 ohms (C) 0.67 ohms (D) 1.8 ohms 34-2

A pressure vessel flange has an inside diameter of 25 cm. The flange is connected to the vessel using 8 bolts that have a bolt preload of 14 kN. The joint coefficient is 0.4, and the joint separation safety factor is 4. What is most nearly the maximum design vessel pressure? (A) 0.73 MPa (B) 0.95 MPa (C) 1.3 MPa (D) 2.3 MPa 42-6

A prismoid has a volume of 100 cm^3. The area of the bottom face is 20 cm^2, the area of the top face is 5 cm^2 and the cross-sectional area halfway between the top and bottom faces is 10 cm^2. What is the approximate height of the prismoid? (A) 8.0cm (B) 9.2cm (C) 11cm (D) 13cm (1-19)

A refrigeration cycle has a coefficient of performance of 2.2. The cycle exchanges heat between two infinite thermal reservoirs. For each 6 kW of cooling, what is most nearly the power input required? (A) 1.4 kW (B) 2.7 kW (C) 5.5 kW (D) 8..1 kW

A rigid tank contains 50 kg of saturated liquid water at 90*C. Determine the pressure in the tank and the volume of the tank. (A) 57.868 kPa; 0.0516 m^3 (B) 70.140 kPa; 0.0518 m^3 (C) 84.609 kPa; 0.0520 m^3 (D) 101.42 kPa; 0.0522 m^3

A rocket that has a mass of 4000 lbm travels at 27,000 ft/sec. What is most nearly its kinetic energy? (A) 1.4 x 10^9 ft-lbf (B) 4.5 x 10^10 ft-lbf (C) 1.5 x 10^12 ft-lbf (D) 4.7 x 10^13 ft-lbf

A rope supporting a mass passes over a horizontal tree branch. The mass exerts a force of 1000 N on the rope. The radius of the branch is 75 mm. The coefficient of static friction between the rope and all the surfaces it contacts is 0.3, and the angle of contact is 300*. What is most nearly the minimum force necessary to hold the mass in position? (A) 0.0 N (B) 210 N (C) 790 N (D) 1200 N Statics Diagnostic Exam

A second-order control system has a control response ratio of Y(s)/R(s = 1 / (s^2 + 0.3s +1) If the system is acted upon by a unit step, what is most nearly the magnitude of the first oscillatory response peak? (A) 1.3 (B) 1.6 (C) 2.5 (D) 3.4 48-13

A shaft has an upper deviation of 0.011 mm and a lower deviation of 0.019 mm. What is most nearly the tolerance of the shaft? (A) -0.008 mm (B) 0.008 mm (C) 0.01 mm (D) 0.02 mm Mechanical DE

A sign has a mass of 150 kg. The sign is attached to the wall by a pin a point B and is supported by a cable between points A and C. (SEE STATICS DIAGNOSTIC EXAM) Determine the approximate force in the cable. (A) 1900 N (B) 2500 N (C) 3800 N (D) 5000 N

A single-pass counterflow heat exchanger is used to cool lubricating oil with cooling water. The exchanger has an effective heat transfer rate of 280 W/m^2K based on an effective heat transfer area of 16 m^2. The thermal capacitance rate of lubricating oil is 9.1 kW/K, and the thermal capacity rate of cooling water is 5.2 kW/K. What is most nearly the number of transfer units? (A) 0.71 (B) 0.86 (C) 0.94 (D) 1.3

A small cylindrical pressure tanks has an internal gage pressure of 1600 Pa. The inside diameter is 69 mm, and the wall thickness is 3 mm. What is most nearly the axial stress of the tank? (A) 7700 Pa (B) 9200 Pa (C) 11000 Pa (D) 18000 Pa 30-3

A solid shaft has a radius of 5 cm at room temperature, but a radius of 4.950 cm when cooled. The cooled shaft is inserted into a hub having an inside radius of 4.954 cm. After the parts come to room temperature, the shaft radius and hub inside radius are each 4.956 cm, and the outside radius of the hub is 10 cm. The diametral interference is 0.002 cm. The modulus of elasticity and Poisson's ratio of the shaft and hub are 210 kN/mm^2 and 0.3, respectively. What is most nearly the pressure at the interference of the hub and shaft? (A) 0.98 kN/cm^2 (B) 1.6 kN/cm^2 (C) 2.5 kN/cm^2 (D) 5.3 kN/cm^2 46-9

A spring-mass-dashpot system starting from a motion-less state is acted upon by a step function. The response is described by the differential equation in which time is given in seconds measured from the application of the ramp function. dy/dt + 2y = 2u(0) [y(0) = 0] How long will it take for the system to reach 63% of its final value? (A) 0.25s (B) 0.50s (C) 1.0s (D) 2.0s

A standard copper wire has a diameter of 1.6 mm. What is most nearly the resistance of 150 m of wire at 0*C? (A) 0.91 ohms (B) 1.2 ohms (C) 1.5 ohms (D) 1.7 ohms

A sum of money is deposited into a fund at 5% interest. $400 is withdrawn at the end of each year for nine years, leaving nothing in the fund at the end. The amount originally deposited is most nearly (A) $2600 (B) $2800 (C) $2900 (D) $3100 50-5

A system consisting of an open bucket containing a mixture of ice and water is to be warmed from 0*C to 20*C. How many degrees of freedom does this system have? (A) 0 (B) 1 (C) 2 (D) 3 27-19

A system contains 1 kg of saturated steam vapor heated to 120 *C. The specific internal energy of saturated steam vapor is 2529.3 kJ/kg. What is most nearly the total internal energy of the steam? (A) 2525 kJ (B) 2529 kJ (C) 3525 kJ (D) 3552 kJ

A thin metal disc of mass 0.01 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle exit is 5 mm. Assuming atmospheric conditions at 101.3 kPa and 20*C, the velocity of the jet as it leaves the nozzle is most nearly (A) 45 m/s (B) 65 m/s (C) 85 m/s (D) 95 m/s

A three-phase induction motor runs on a 60 Hz power line at 1150 rpm at full load. The motor's stator contains a total of 18 poles. What is most nearly the motor's full-load slip? (A) 0 (B) 0.042 (C) 0.075 (D) 0.13 36-3

A uniform rod is 2.0 m long and has a mass of 15 kg. What is most nearly the rod's mass moment of inertia? (A) 5.0 kg cm^2 (B) 20 kg cm^2 (C) 27 kg cm^2 (D) 31 kg cm^2 39-3

A water jet impinges upon a retreating blade at a velocity of 10 m/s and mass rate of 1 kg/s, as shown. Angle = 30*. If the blade velocity is a constant 3 m/s, the magnitude of the force, F, that the blade imposes on the jet is most nearly (A) 2.8 N (B) 3.6 N (C) 4.7 N (D) 6.1 N

An 8m long pipe of 15 cm outside diameter is covered with 2 cm of insulation with a thermal conductivity of 0.09 W/m*K. If the inner and outer temperatures of the insulation are 750K and 400K, what is most nearly the heat loss from the pipe? (A) 4.5 kW (B )6.7 kW (C) 8.5 kW (D) 10 kW

An aluminum alloy plate containing a 2cm long crack (exterior) is 10 cm wide and 0.5 cm thick. The plate is pulled with a uniform tensile force of 10000 N. What is most nearly the stress intensity factor at the end of the crack? (A) 2.1 MPa*SQRT(m) (B) 5.5 MPa*SQRT(m) (C) 12 MPa*SQRT(m) (D) 21 MPa*SQRT(m) 26-13

An engineer designs and self-manufactures a revolutionary racing bicycle. The engineer uses finite element analysis (FEA) software to perfect the design, has the design checked by a reputable authority, and subjects the major components that he manufactures to nondestructive testing. After three years of heavier-than-anticipated usage, one of the engineer's bicycles disintegrates in a race, killing its rider. In his defense, the engineer may claim (A) Privity of contract (B) standard of care (C) statute of limitations (D) contributory negligence 51-6

An investment currently costs $28,000. If current inflation rate is 6% and the effective annual return on investment is 10%, approximately how long will it take for the investment's future value to reach $40,000? (A) 1.8 yr (B) 2.3 yr (C) 2.6 yr (D) 3.4 yr Engineering Economics DE

Assume air to be an ideal gas with a molecular weight of 28.967 kg/kmol. What is most nearly the specific gas constant of air? (A) 0.11 kJ/kg*K (B) 0.29 kJ/kg*K (C) 3.5 kJ/kg*K (D) 8.3 kJ/kg*K

At a particular point within a beam, the longitudinal strain is 0.000284 and Poisson's ratio is 0.29. The modulus of elasticity of the beam is 200 MPa. What is most nearly the longitudinal normal stress at that point within the beam? (A) 0.042 MPa (B) 0.057 MPa (C) 0.16 MPa (D) 0.20 MPa 31-4

At the end of each year, an investor deposits some money into a fund earning 7% interest/ The same amount is deposited each year, and after six years the account contains $1600. The amount deposited each time is most nearly (A) $190 (B) $220 (C) $240 (D) $250 50-5

Atmospheric air at 21*C has a relative humidity of 50%. What is most nearly the dew-point temperature? (A) 7.0*C (B) 10*C (C) 17*C (D) 24*C

Carbon tetra-chloride has a specific gravity of 1.56. The height pf a column of carbon tetra-chloride that supports a pressure of 1 kPa is most nearly (A) 0.0065 cm (B) 6.5 cm (C) 10 cm (D) 64 cm

Complete the Fourier analysis problem on (4-5) What are the first terms in the Fourier series of the repeating function shown? (A) (1/2) - cos(2t) - (1/2)cos(4t) - (1/3)cos(6t) (B) (1/2) - (1/pi)sin(2t) - (1/2pi)sin(4t) - (1/3pi)sin(6t) (C) (1/4) - (1/pi)(cos(2t) + sin(2t) + cos(4t) + (1/2)cos(6t)) (D) (1/4) - (1/pi)((1/pi)cos(2t) + sin(2t) + (1/2pi)cos(2t))

Conditioned air enters a room at 13°C and 70% relative humidity. The dew-point temperature of the air is most nearly: A. 5°C B. 8°C C. 10°C D. 13°C (FE Sample Problem)

Consider the following balanced actual combustion reaction for propane. C3H8 + 14.29(air) -> 4H2O + 3CO + 11.29N2 Assume air is 21% oxygen and 79% nitrogen by volume. What is most nearly the percent theoretical air? (A) 50% (B) 60% (C) 68% (D) 75%

During routine inspections, a field engineer discovers that one of the company's pipelines is leaking hazardous chemicals into the environment. The engineer recommends that the line be shut down so that seals can be replaced and the pipe can be inspected more closely. His supervisor commends him on his thoroughness, and says the report will be passed on to the company's maintenance division. The engineer moves on to his next job, assuming things will be taken care of in a timely manner. While working in the area again several months later, the engineer notices that the problem hasn't been corrected and is in fact getting worse. What should the engineer do? (A) Give the matter some more time. In a large corporate environment, it is understandable that some things take longer than people would like them to. (B) Ask the supervisor to investigate what action has been taken on the matter. (C) Personally speak to the director of maintenance and insist that this project be given high priority. (D) Report the company to the EPA for allowing the situation to worsen without taking any preventative measures. Ethics DE

Evaluate the following limit. Limit (x -> a) (1-e^3x) / (4x) (A) -infinity (B) -3/4 (C) 0 (D) 1/4

Find the approximate x- and y-coordinates of the centroid of wire ABC (SEE 25-2 FOR IMAGE) (A) 0.43 m; 1.3 m (B) 0.64 m; 2.8 m (C) 2.7 m; 1.5 m (D) 3.3 m; 2.7 m

Find the slope of the line that passes through points (-3, 2) and (5, -2). (A) -2 (B) -0.5 (C) 0.5 (D) 2

For air at a temperature of 42*C, the heat capacity is 990 J/kg*K, the viscosity is 1.9 x 10^-5 kg/s*m, and the thermal conductivity is 0.028 W/m*K. What is most nearly the Prandtl number? (A) 0.59 (B) 0.67 (C) 0.75 (D) 0.83

For an opaque body, if 62% of the incident energy is reflected, what is most nearly the percentage of energy absorbed? (A) 19% (B) 38% (C) 46% (D) 62%

For an open-loop, linear, time invariant transfer function, X(s) = A/s Y(s) = A(s+1) / s(s+2) What is most nearly the transfer function? (A) G(s) = 1/(s+2) (B) G(s) = (s+1) / (s+2) (C) G(s) = (s+2) / (s+1) (D) G(s) = 1 / (s+) 48-2

For the probability density function shown, what is the probability of the random variable x being less than 1/3? Graph: Two right triangles back to back with center x = 1/2 and end x = 1. (A) 0.11 (B) 0.22 (C) 0.25 (D) 0.33 (6-10)

For the shape shown, the centrodial moment of inertia about the x-axis is 57.9 cm^4. (SEE 25-14 FOR IMAGE) What is the approximate radius of gyration about the horizontal axis passing through the centroid? (A) 0.86 cm (B) 1.7 cm (C) 2.3 cm (D) 3.7 cm

Given a shear stress, tau, of 12000 kPa and a shear modulus, G, of 87 GPa, the shear strain is most nearly (A) 0.73 x 10^-5 rad (B) 1.4 x 10^-4 rad (C) 2.5 x 10^-4 rad (D) 5.5 x 10^-4 rad 29-3

If a triangle has a base of 13 cm and a height of 8cm, what is most nearly the vertical distance between the centroid and the radius of gyration about the x-axis? (A) 0.5 cm (B) 0.6 cm (C) 0.7 cm (D) 0.8 cm

In 1 hour, approximately how much black-body radiation escapes a 1 cm x 2 cm rectangle opening in a kiln whose internal temperature is 980*C? (A) 20 kJ (B) 100 kJ (C) 130 kJ (D) 150 kJ

In dealing with suppliers, an engineer may (A) unduly delay vendor performance if the client agrees (B) spend personal time outside of the contract to ensure adequate performance (C) prepare plans containing ambiguous design-build references as cost-saving measures (D) enforce plans and specifications to the letter, without regard to fairness 52-6

In standard gravity, block A exerts a force of 10000 N, and block B exerts a force of 7500 N. Both blocks are initially held stationary. There is no friction, and the pulleys have no mass. Block A has an acceleration of 1.4 m/s^2 once the block is released. (SEE 37-3 FOR IMAGE) What is most nearly the velocity of block A 2.5 s after the blocks are released? (A) 0 m/s (B) 3.5 m/s (C) 4.4 m/s (D) 4.9 m/s

In steady-state circuit shown, all components are ideal. (SEE 34-6 FOR CIRCUIT DIAGRAM) What is most nearly the magnitude of the current through the 20 ohm resistor? (A) 2.0 A (B) 2.9 A (C) 5.0 A (D) 5.7 A

In the circuit shown, Vin = 10.00 V, Vo = 0.0125 V, and R1 = R2 = R3 = R = 10 kOhms. (See Instrumentation DE) What is most nearly the resistance of R4? (A) 10,000 Ohms (B) 10,050 Ohms (C) 10,500 Ohms (D) 15,000 Ohms

Induction motors on a 13.2 kV circuit draw 10 MVA with a power factor of 0.85 lagging. Approximately how much capacitive reactive power is needed to correct the power factor to 0.97 lagging? (A) 2.5 MVAR (B) 3.1 MVAR (C) 4.8 MVAR (D) 5.2 MVAR SEE Electrical DE

Match the phase description 1. Solid 2. Saturated Liquid 3. Subcooled Liquid 4. Liquid Vapor-Mixture I. A Liquid and vapor of the same substance can coexist at the same temperature and pressure. This is called a two-phase, ________ II. If a liquid is not saturated, it is said to be ____________. It can absorb additional energy without vaporizing III. ___________ does not take the shape or volume of its container IV. A ____________ has absorbed as much heat energy as it can without vaporizing. (A) 1, 2, 3, 4 (B) 4, 3, 1, 2 (C) 4, 3, 2, 1 (D) 1, 3, 4, 2

Most nearly, what is the arithmetic mean of the following values? 9.5, 2.4, 3.6, 7.5, 8.2, 9.1, 6.6, 9.8 (A) 6.3 (B) 7.1 (C) 7.8 (D) 8.1

Most nearly, what is the radius of a sphere with a center at the origin and that passes through the point (8,1,6)? (A) 9.2 (B) SQRT(101) (C) 65 (D) 100

Most nearly, what is the sample variance of the following data? 0.50, 0.80, 0.75, 0.52, 0.60 (A) 0.015 (B) 0.018 (C) 0.11 (D) 0.12

Nitrogen behaving as an ideal gas undergoes a temperature change from 260*C to 93*C. The specific heat at constant pressure is 1.04 kJ/kg*K. What is most nearly the change in the enthalpy per kilogram of nitrogen gas? (A) -200 kJ/kg (B) -170 kJ/kg (C) 110 kJ/kg (D) 170 kJ/kg

Relative to the practice of engineering, which one of the following best defines "ethics"? (A) application of United States laws (B) rules of conduct (C) personal values (D) recognition of cultural differences 52-1

Samples of aluminum-alloy channels are tested for stiffness. Stiffness is normally distributed. The following frequency distribution is obtained. stiffness frequency 2480 23 2440 35 2400 40 2360 33 2320 21 What is the approximate probability that the stiffness of any given channel section is less than 2350? (A) 0.08 (B) 0.16 (C) 0.23 (D) 0.36

Simplify the expression cos(theta)sec(theta)/tan(theta). (A) 1 (B) cot(theta) (C) csc(theta) (D) sin(theta)

Simplify the following expression. (cos(a + b) + cos(a - b))/cos(b) (A) cos (a/2) (B) 2cos(a) (C) sin(2a) (D) (sin(a))^2

Steam at 416 Pa and 166K has a specific volume of 0.41 m^3/kg and a specific enthalpy of 29.4 kJ/kg. What is most nearly the internal energy per kilogram of steam? (A) 28.5 kJ/kg (B) 29.2 kJ/kg (C) 30.2 kJ/kg (D) 30.4 kJ/kg

Steam in a rigid 3 m^3 vessel has a critical temperature of 647.1K and a critical pressure of 22.06 MPa. The steam is heated to 500*C and 10 MPa. Using the van der Waal's equation of state, what is most nearly the molar specific volume of the steam? (A) 0.2 m^3/kmol (B) 0.6 m^3/kmol (C) 1 m^3/kmol (D) 10 m^3/kmol

Taylor's series is used to expand the function f(x) about a = 0 to obtain f(b). f(x) = 1/(3x^3 + 4x +8) What are the first two terms of Taylor's series? (A) (1/16) + (b/8) (B) (1/8) - (b/16) (C) (1/8) + (b/16) (D) (1/4) - (b/16)

The Reynolds number for air flowing over a sphere is 62000. The Prandtl number is 0.81. What is most nearly the average Nusselt number? (A) 110 (B) 140 (C) 450 (D) 670

The angle between the line y = -7x + 12 and the line y = 3x is most nearly...... (A) 22* (B) 27* (C) 33* (D) 37*

The capacitor shown has a capacitance of 2.5 x 10^-10 F (SEE 34 -4 FOR IMAGE) What is most nearly the energy stored in the capacitor? (A) 0.2 microJ (B) 0.8 microJ (C) 1.0 microJ (D) 20 microJ

The current in a particular DC circuit is numerically equal to one-quarter of the time the current has been running through the circuit. Assuming the circuit starts carrying no current, what is most nearly the electrical charge delivered by the circuit in 5 s? (A) 0.2 C (B) 3 C (C) 6 C (D) 30 C 33-5

The density of a gas is 1.5 kg/m^3. The specific weight of the gas is most nearly (A) 9.0 N/m^3 (B) 15 N/m^3 (C) 76 N/m^3 (D) 98 N/m^3

The entrance freeway to a city passes under a decorative parabolic arch with a 28 m base and a 200 m height. A famous illusionist contacts the city with a plan to make the city disappear from behind a curtain draped down from the arch. If the drape spans the entire width and height of the opening, and if seams and reinforcement increase the material requirements by 15%, most nearly, how much drapery fabric will be needed? (A) 3700 m^2 (B) 4300 m^2 (C) 7500 m^2 (D) 8600 m^2

The final scores of students in a graduate course are distributed normally with a mean of 72 and a standard deviation of 10. Most nearly, what is the probability that a student's score will be between 65 and 78? (A) 0.42 (B) 0.48 (C) 0.52 (D) 0.65

The flow chart shown represents the summer training schedule for a college athlete. What is the regularly scheduled workout on Wednesday morning? (See 49-2) (A) bike (B) rest (C) run (D) weights

The maintenance cost on a house is expected to be $1000 the first year and to increase $500 per year after that. Assuming an interest rate of 6% compounded annually, the maintenance cost over 10 years is most nearly equivalent to an annual maintenance cost of (A) $1900 (B) $3000 (C) $3500 (D) $3800 50-7

The only point of inflection on the curve representing the equation y = x^3 + x^2 -3 is at: (A) x = -2/3 (B) x = -1/3 (C) x = 0 (D) x = 1/3 (FE Sample Problem)

The purchase price of a car is $25,000. Mr. Smith makes a down payment of $5000 and borrows the balance from a bank at 6% nominal annual interest, compounded monthly for five years. Calculate the nearest value of the required monthly payments to pay off the loan. (A) $350 (B) $400 (C) $450 (D) $500 Engineering Economics DE

The simplified phase diagram of an alloy of components A and B is shown. (SEE Material Prop Diagnostic Exam) What is most nearly the percentage pf solid alloy that will be present at 2300*F if the mixture is 3.0% B and 97% A? (A) 32% (B) 40% (C) 51% (D) 63%

The temperature-dependent molar heat capacity of nitrogen in units of kJ/kmol*K is Cp= 39.06 - 512.79T^(-1.5) + 1072.7T^(-2)-820.4T^(-3) (A) 600 kJ/kg (B) 700 kJ/kg (C) 800 kJ/kg (D) 900 kJ/kg

The vertical angle to the top of a flagpole from point A on the ground is observed to be 37*11'. The observer walks 17m directly away from the flagpole from point A to point B and finds the new angle to be 25*43'. What is the approximate height of the flagpole? (A) 10m (B) 22m (C) 82m (D) 300m (1-14)

The voltage between nodes B and E in the circuit shown is 300 V. (SEE 34-6 FOR CIRCUIT DIAGRAM) What is most nearly the current flowing between nodes B and E? (A) 30 mA (B) 60 mA (C) 70 mA (D) 80 mA

The weight of a 500 kg homogeneous crate is supported by three wall-mounted cables, as shown. (SEE STATICS DIAGNOSTIC EXAM) If the force in the cable AD is 5950 N, most nearly, what is the sum of the x-components in cables BD and CD? (A) 4700 N (B) 5200 N (C) 5900 N (D) 6500 N

To measure low flow rates of air, a laminar flow meter is used. It consists of a large number of small diameter tubes in parallel. One design uses 4000 tubes, each with an inside diameter of 2 mm and a length of 25 cm. The pressure difference through the flow meter is 0.5 kPa, and the absolute viscosity of the air is 1.81 x 10^-8 KPa*s. The flow rate of atmospheric air at 20*C is most nearly (A) 0.1 m^3/s (B) 0.2 m^3/s (C) 0.4 m^3/s (D) 0.5 m^3/s

Two forces of 20 N and 30 N act at right angles. (SEE 22-2 for image) What is most nearly the magnitude of the resultant force? (A) 7.0 (B) 36 (C) 50 (D) 75

Two point charges, Q1 and Q2. at shown. Q1 is a charge of 5 x10^-6 C, and Q2 is a charge of -10 x 10^-6 C. The permittivity of the medium is 8.85 x 10^-12 F/m, and the distance between the charges is 10 cm. (SEE 33-2 FOR IMAGE) What are most nearly the magnitude and direction of the electrostatic force that acts on Q2 due to Q1? (A) 45 N, from Q1 to Q2 (B) 45 N, from Q2 to Q1 (C) 89 N, from Q2 to Q1 (D) 110 N, from Q1 to Q2

Using the phase diagram given, what is most nearly the percentage of liquid remaining at 600*C that results from the equilibrium cooling of an alloy containing 5% silicon and 95% aluminum? (SEE Material Prop Diagnostic Exam) (A) 0.0% (B) 47% (C) 53% (D) 67%

Using the voltage waveform as the reference, what is the correct rms phasor (polar) expression for the sinusoidal waveform shown? (SEE Electrical DE) (A) 35 A <-90 degrees (B) 35 A <90 degrees (C) 50 A <-90 degrees (D) 50 A <90 degrees

Water flows 6 m^3/s in a 1 m diameter pipeline, then divides into two branch lines that discharge to the atmosphere 1000 m from the junction. Branch A uses 0.75 m diameter pipe, and branch B uses 0.60 m diameter pipe. All branches are at the same elevation, and all pipes have the same friction factor of 0.0023. Friction losses from fittings are negligible. The flow rate in branch A is most nearly (A) 3.5 m^3/s (B) 3.8 m^3/s (C) 4.1 m^3/s (D) 4.4 m^3/s

Water flows through a horizontal, friction-less pipe with an inside diameter of 20 cm. A pitot-static meter measures the flow. The deflection of the mercury attached to the pitot tube is 5 cm. The specific gravity of mercury is 13.6. The flow rate in the pipe is most nearly (A) 0.08 m^3/s (B) 0.1 m^3/s (C) 0.2 m^3/s (D) 0.3 m^3/s

What are the coordinates of the point of intersection of the following lines? y1 = x + 2 y2 = x^2 + 5x + 6 (A) (-3, 0) (B) (-2, 0) (C) (-1, 1) (D) (2, 0)

What are the x- and y- coordinates of the centroid of the area shown? (SEE DE STATICS FOR IMAGE) (A) (2.5 cm, 3.4 cm) (B) (2.8 cm, 3.3 cm) (C) (3.2 cm, 4.2 cm) (D) (3.4 cm, 3.7 cm)

What is most nearly the eccentricity of a horizontally oriented hyperbola with a vertex of (3,0) and a focus of (5,0)? (A) 1.33 (B) 1.67 (C) 2.00 (D) 3.00

What is most nearly the equivalent capacitance between terminals A and B? (SEE 34-5 FOR IMAGE) (A) 1.1 microF (B) 1.3 microF (C) 2.4 microF (D) 4.0 microF

What is most nearly the equivalent input impedance when the circuit shown is connected across a 120 V, 60 Hz source? (See Electrical DE) (A) 16 Ohms < -33 degrees (B) 50 Ohms < 0 degrees (C) 71 Ohms < -45 degrees (D) 110 Ohms < 63 degrees

What is most nearly the shear yield strength for 1 mm diameter ASTM A227 hard-drawn wire? (A) 330 MPa (B) 680 MPa (C) 730 MPa (D) 750 MPa 43-5

What is most nearly the slope of the line tangent to the parabola y=12x^2 + 3 at a point where x = 5? (A) 24 (B) 120 (C) 140 (D) 300

What is most nearly the work required to move a positive charge of 10 C for a distance of 5 m in the same direction as a uniform field of 50 V/m? (A) -13000 J (B) -2500 J (C) -100 J (D) -20 J 33-4

What is the Laplace transform of the step function f(t)? f(t) = u(t-1) + u(t-2) (A) (1/s) + (2/s) (B) (e^(-s) + e^(-2s))/s (C) 1 + (e^2s)/s (D) (e^s)/s + (e^2s)/s

What is the difference between transducers and sensors? (A) Transducers convert impulses from sensors into measurable quantities (B) Transducers usually measure physical quantities, while sensors measure chemical quantities (C) Transducers tend to be much larger then sensors (D) Transducers and Sensors are basically the same (Instrumentation DE)

What is the equation of the parabola with a vertex at (4, 8) and a directrix at y = 5? (A) (x-8)^2 = 12(y-4) (B) (x-4)^2 = 12(y-8) (C) (x-4)^2 = 6(y-8) (D) (y-8)^2 = 12(x-4)

What is the general solution to the differential equation and boundary condition? dy/dt - 5y = 0 y(0) = 3 (A) (-1/3)e^(-5t) (B) 3e^5t (C) 5e^-3t (D) (1/5)e^(-3t)

What is the general solution to the following homogeneous differential equation? y'' - 8y' + 16y = 0 (A) y = C1e^4x (B) y = (C1 + C2x)e^4x (C) y = C1e^-4x + C2e^4x (D) y = C1e^2x + C2e^4x

What is the length of the line tangent from point (7, 1) to a circle of r = 3 and center at (3,4)? (A) 3 (B) 4 (C) 5 (D) 7

What is the sample standard deviation of the following 50 data points? data value frequency 1.5 3 2.5 8 3.5 18 4.5 12 5.5 9 (A) 1.12 (B) 1.13 (C) 1.26 (D) 1.28

What is the unit vector of R = 12i - 20j -9k? (A) 0.25i - 0.80j - 0.54k (B) 0.48i - 0.80j - 0.36k (C) 0.54i - 0.77j - 0.35k (D) 0.64i - 0.64j - 0.42k

What is the value of Log base 10 (1000)? (A) 2 (B) 3 (C) 8 (D) 10

Which fee structure is a nonreturnable advance paid to a consultant? (A) per diem fee (B) retainer (C) lump-sum fee (D) cost plus fixed fee 51-4

Which of the following characteristic equations can be stable? I. 4s^4 + 8s^2 + 3s + 2 = 0 II. 4s^4 + 2s^3 +8s^2 + 3s + 2 = 0 III. 4s^4 + 2s^3 + 8js^2 + 5s + 2 =0 IV. 4s^4 + 2s^3 + 8s^2 - 3s +2 = 0 (A) I only (B) II only (C) I and IV (D) II and III 48-11

Which of the following equation correctly describes the shaded area of the x-y plane? (0,6) & (3,0) <= (A) 2x-y<=6 (B) 2x+y<=6 (C) 2x-y>=6 (D) x+2y>=6

Which of the following feedforward transfer function controller equations is realizable? (SEE Instrumentation DE) (A) (B) (C) (D)

Which of the following is most nearly equal to (7+5.2j)/(3+4j)? (A) -0.3 + 1.8j (B) 1.7 - 0.5j (C) 2.3-1.2j (D) 2.3 + 1.3j

Which of the following symptoms or conditions is NOT one of the main causes of pressure vessel failure? (A) embrittlement (B) chattering (C) corrosion (D) erosion Mechanical DE

$20,000 is deposited at the end of each year into a fund earning 6% interest. At the end of ten years, the amount accumulated is most nearly (A) $150,000 (B) $180,000 (C) $260,000 (D) $280,000 50-5

15% of a batch of mixed-color gumballs are green. Out of a random sample of 20 gumballs, what is the probability of getting two green balls? (A) 0.12 (B) 0.17 (C) 0.23 (D) 0.46

50C water flows through a 1.5 m long copper pipe. The thermal conductivity of the copper is 350 W/mC. The internal diameter of the pipe is 20 mm, and the pipe wall is 5 mm thick. The temperature outside of the pipe is 20C. What is most nearly the heat transfer through the pipe? (A) 140 kW (B) 160 kW (C) 240 kW (D) 440 kW

A 1 m penstock is anchored by a thrust block at a point where the flow makes a 20* change in direction. The water flow rate is 5.25 m^3/s. The water pressure is 140 kPa everywhere in the penstock. If the initial flow direction is parallel to the x-direction, the magnitude of the force on the thrust block in the x-direction is most nearly (A) 6.8 kN (B) 8.3 kN (C) 8.7 kN (D) 9.2 kN (See 9-14)

A 10 kV power line has a total resistance of 1000 ohms. The current in the line is 10 A. What is most nearly the power lost due to resistive heating? (A) 1 kW (B) 10 kW (C) 100 kW (D) 1000 kW

A 10 kg block is raised vertically 3 m. What us most nearly the change in potential energy? (A) 30 J (B) 98 J (C) 290 J (D) 880 J

A 10 mole mixture of three gases is stored in a container. There are 2 moles of helium and 3 moles of nitrogen in the mixture. What is most nearly the mole fraction of the third gas in the mixture? (A) 0.20 (B) 0.30 (C) 0.50 (D) 0.75

A 100 N force is applied to a 50 mm long helical compression spring made of 2 mm steel wire (shear modulus of 80 GPa). The spring has 6 active coils and a mean diameter of 10 mm. The spring ends are closed. What is most nearly the spring constant? (A) 3.0 kN/m (B) 21 kN/m (C) 27 kN/m (D) 35 kN/m 43-4

A 100 kg block rests on a frictionless incline. Forces are applied to the block shown. (SEE DE STATICS FOR IMAGE) What is the minimum force, P, such that no downward motion occurs? (A) 50 N (B) 200 N (C) 490 N (D) 850 N

A 100 kg block rests on an incline. The coefficient of static friction between the block and the ramp is 0.2. The mass of the cable is negligible, and the pulley at point C is frictionless. (SEE DE STATICS FOR IMAGE) What is the smallest block B mass that will start the 100 kg block moving up the incline? (A) 44 kg (B) 65 kg (C) 76 kg (D) 92 kg

A 100 mm gage length is marked on an aluminum rod. The rod is strained so that the gauge marks are 109 mm apart. The strain is most nearly (A) 0.001 (B) 0.01 (C) 0.1 (D) 1.0

A 15 cm thick furnace wall has a 8 cm square inspection port. The interior of the furnace is at 1200 C. The surrounding air temperature is 20*C. The shape factor, F12, is 0.4. The heat loss due to radiation when the inspection port is open is most nearly (A) 150 W (B) 440 W (C) 680 W (D) 2700 W

A 2 cm diameter solid steel shaft is pressed into a 3 cm long hub. Given an interface pressure of 70 MPa and a coefficient of friction of 0.6, what is most nearly the maximum torque that can be transmitted from the shaft to the hub? (A) 550 Nm (B) 630 Nm (C) 790 Nm (D) 880 Nm 46-10

A 2-kg block slides along a rough horizontal surface and slows to 10 m/s after traveling 20 m. If the kinetic coefficient of friction between the block and surface is 0.2, the initial speed (m/s) of the block was most nearly: (A) 10.0 (B) 10.4 (C) 13.4 (D) 20.0 (FE Sample Problem)

A 200 kg/s stream of water leaves a nozzle and strikes a bucket whose angle is 120* from the horizontal. The total head as the water leaves the nozzle is 15 m, and the 25cm diameter turbine runner is turning at 500 rpm. The power produced is most nearly (A) 9.3 kW (B) 14 kW (C) 21 kW (D) 32 kW

A 200 m long submarine is being designed to travel underwater at 3 m/s. The coresponding underwater speed for a 6 m model is most nearly (A) 0.5 m/s (B) 2 m/s (C) 100 m/s (D) 200 m/s

A 25 mm diameter machined bar is exposed to a fluctuating bending load in a 200*C environment. The bar is made from ASTM A36 Steel, which has a yield strength of 250 MPa, an ultimate tensile strength of 400 MPa, and a density of 7.8 g/cm^3. The endurance limit is determined to be 200 MPa. What is most nearly the fatigue strength of the steel? (A) 95 MPa (B) 130 MPa (C) 160 MPa (D) 200 MPa

A 2L container holds a mixture of three inert gases. The pressure inside the container is measured at 1.5 atm at a temperature of 293K (room temperature). Two of the three inert gases are known. The first gas, krypton, has a mass fraction of 0.352. The second gas, argon, has a mass fraction of 0.2799. The combined mass of argon and krypton in the container is 5.630 g. What is most nearly the mass of the third gas? (A) 2.5 g (B) 3.1 g (C) 3.3 g (D) 5.6 g

A 35 kg block resting on the 30* incline is shown. (SEE 24-2 for image) (A) 37 N (B) 52 N (C) 89 N (D) 100 N

A 4 cm thick insulator (k=2 x 10^-4 cal/cm*s*C) has an area of 1000 cm^2. If the temperature on its two sides are 170*C and 50*C, and films are neglected, what is most nearly the heat transfer by conduction? (A) 0.10 cal/s (B) 1.2 cal/s (C) 6.0 cal/s (D) 30 cal/s

A 50 mm diameter, 0.5 m long aluminum rod is loaded axially in tension as shown. Aluminum has a modulus of elasticity of 69 GPa and a Poisson's ratio of 0.35. (SEE Mechanics DE) If the rod decreases in diameter by an average of 323 nm while the length increases, what is most nearly the percent change in the volume of the rod? (A) -0.055% (decrease) (B) -0.00055% (decrease) (C) 0.00055% (increase) (D) 0.055% (increase)

A 6 kg sphere moving at 3 m/s collides with a 10 kg sphere traveling at 2.5 m/s in the same direction. The 6 kg sphere comes to a complete stop after the collision. What is most nearly the new velocity of the 10 kg sphere immediately after the collision? (A) 0.50 m/s (B) 2.8 m/s (C) 4.3 m/s (D) 5.5 m/s Dynamics DE

A Carnot engine operates on steam between 65*C and 425*C. What is most nearly the efficiency? (A) 19% (B) 48% (C) 52% (D) 81%

A DC generator armature turns at 1200 rpm. The field's magnetic flux 0.02 Wb. The armature constant is Ka = 1 Vmin/wb. Disregarding armature resistance, what is most nearly the output voltage? (A) 12 V (B) 20 V (C) 24 V (D) 48 V 36-5

A ball is dropped from rest at a point 12 m above the ground into a smooth, friction-less chute. The ball exits the chute 2 m above the ground and at an angle of 45 degrees from the horizontal. Air resistance is negligible. Approximately how far will the ball travel in the horizontal direction before hitting the ground? (See Dynamics DE for Image) (A) 12 m (B) 20 m (C) 22 m (D) 24 m

A binary solution with the characteristics and composition of point P is cooled. (SEE 27-16 FOR IMAGE) What type of alloy will result? (A) eutectic (B) eutectoid (C) peritectic (D) peritectoid

A boiler feedwater pump receivers a steady flow of saturated liquid water at a temperature of 50*C and a pressure of 12.349 kPa. The pressure of the water increases isentropically inside the boiler to 1000 kPa. At 50*C, the specific volume of water is 0.001012 m^3/kg. Changes in kinetic and potential energies are negligible. What is most nearly the work done on the water by the boiler? (A) 0.64 kJ/kg (B) 0.87 kJ/kg (C) 1.0 kJ/kg (D) 2.3 kJ/kg

A bolt has a major-diameter area of 123 mm^2 and a tensile stress of 88 mm^2. The threaded length is 14 mm. The modulus of elasticity is 230 GPa. What is most nearly the stiffness of the threaded length of the bolt? (A) 980 kN/mm (B) 1100 kN/mm (C) 1400 kN/mm (D) 1700 kN/mm Mechanical DE

A car moving at 70 km/h has a mass of 1700 kg. The force necessary to decelerate it at a rate of 40 cm/s^2 is most nearly (A) 0.68 N (B) 42 N (C) 680 N (D) 4200 N 38-5

A carbon-steel gear hub is to be press-fitted to a carbon steel shaft using a class 25H7/u6 fit. The hub has a nominal thickness of 13 mm. Using the hole basis calculations, what are most nearly the loosest and tightest interferences, respectively? (A) 0.013 mm; 0.021 mm (B) 0.021 mm; 0.048 mm (C) 0.027 mm; 0.061 mm (D) 0.048 mm; 0.061 mm 46-8

A cat colony living in a small town has a total population of seven cats. The ages of the cats are shown. Age | Number 7 yr | 1 8 yr | 1 10 yr | 2 12 yr | 1 13 yr | 2 What us most nearly the standard deviation of the age of the cat population? (A) 1.7 yr (B) 2.0 yr (C) 2.2 yr (D) 2.4yr

A coil has 100 turns. The magnetic flux in the coil decreases from 20 Wb to 10 Wb in 5s. What is most nearly the magnitude of the voltage induced in the coil? (A) 50 V (B) 100 V (C) 200 V (D) 300 V 33-7

A cone has a height of 100cm. The cross section of the cone at a distance of 5cm from the apex is a circle with an area of 20cm^2. What is most nearly the area of the cone's base? (A) 5000cm^2 (B) 6000cm^2 (C) 8000cm^2 (D) 9000cm^2 (1-20)

A control system with negative feedback is shown. (SEE 48-10) The root-locus diagram of the system has a (A) pole at (-3, j0) and a zero at (-3, j0) (B) zero at (-3, j0) (C) double zero at (-3, j0) (D) double pole at (-3, j0) and a zero at (0,0)

A cylinder fitted with a frictionless piston contains an ideal gas at temperature T and pressure p. The gas expands isothermally and reversibly until the pressure is p/3. Which statement is true regarding the work done by the gas during expanison? (A) It is equal to the change in enthalpy in the gas (B) It is equal to the change in internal energy (C) It is equal to the heat absorbed by the gas (D) It is greater than the heat absorbed by the gas

A fan moves 25*C air over a 25 W resistive electrical device that has a uniform surface temperature of 100*C. The forced convection heat transfer coefficient is 50 W/m^2C. If cooling fan fails and the device is cooled by natural convection (heat transfer coefficient of 10 W/m^2C), the resulting surface temperature of the device will be most nearly (A) 100 *C (B) 375 *C (C) 400 *C (D) 625 *C

A fluid has a density of 860 kg/m^3. The specific gravity of the fluid is most nearly (A) 0.63 (B) 0.82 (C) 0.86 (D) 0.95

A flywheel rotates at 7200 rpm when the power is suddenly cut off. The flywheel decelerates at a constant rate of 2.1 rad/s and comes to a rest 6 mins later. What is most nearly the angular displacement of the flywheel? (A) 43 x 10^3 rad (B) 93 x 10^3 rad (C) 140 x 10^3 rad (D) 270 x 10^3 rad 37-4

A force of 15 N acts on a 16 kg body for 2 s. If the body is initially at rest, approximately how far is it displaced by the force? (A) 1.1 m (B) 1.5 m (C) 1.9 m (D) 2.1 m 38-5

A fuel is 60% hydrogen (H2) and 40% carbon monoxide (CO) by volume of fuel gas and 1 volume of oxygen gas (O2) are combined in a chemical reactor. The reaction goes to completion. For every mole of oxygen in the feed, the effluent consists of 1 mole of water vapor (H2O), 1 mole of carbon dioxide (CO2), and 1/2 mole of hydrogen. Most nearly, what is the hydrogen's extent? (A) 0.33 (B) 0.50 (C) 0.67 (D) 0.75

A gear has 15 teeth and a pitch diameter of 5 cm. What is most nearly the circular pitch of the gear? (A) 1.1 mm (B) 3.3 mm (C) 11 mm (D) 52 mm 43-8

A groundwater treatment system cost $2,500,000. It is expected to operate for a total of 130,000 hours over a period of 10 years, and then have a salvage value of $250,000. During the system's first year in service, it is expected to operate for 6500 hours. Using the MACRS method, its depreciation in the third year is most nearly (A) $160,000 (B) $250,000 (C) $360,000 (D) $830,000 50-9

A half-cylinder tub is full of water at 30*C. The tub bas a length of 1.5 m and a diameter of 0.8 m. The specific heat of water is 4.18 kJ/kg*K. What is most nearly the temperature of the water after 3 MJ of heat is added to the tub? (A) 28*C (B) 30*C (C) 32*C (D) 36*C

A hole has a minimum size of 10.988 mm and a tolerance of 0.011 mm. What is most nearly the nominal size of the hole? (A) 10.959 mm (B) 10.967 mm (C) 10.988 mm (D) 10.999 mm Mechanical DE

A hollow cylinder has a mass of 2 kg, a height of 1 m, an outer diameter of 1 m, and an inner diameter of 0.8 m. (SEE 39-5 FOR IMAGE) What is most nearly the cylinder's mass moment of inertia about an axis perpendicular to the cylinder's longitudinal axis and located at the cylinder's end? (A) 0.41 kg m^2 (B) 0.79 kg m^2 (C) 0.87 kg m^2 (D) 1.5 kg m^2

A horizontal cylindrical heater is used to boil water at a constant temperature of 90*C. The density of the liquid water is 965 kg/m^3, and the density of the water vapor is 0.424 kg/m^3. The surface tension between the liquid and vapor is 0.070 N/m. What is most nearly the peak heat flux with nucleate boiling? (A) 740 kW/m^2 (B) 860 kW/m^2 (C) 910 kW/m^2 (D) 1100 kW/m^2

A large sewer system will cost $175,000 annually. There will be favorable consequences to the general public equivalent to $500,000, and adverse consequences to a small segment of the public equivalent to $50,000 annually. The benefit-cost ratio is most nearly (A) 2.2 (B) 2.4 (C) 2.6 (D) 2.9 50-12

A machine has an initial cost of $18,000 and operating cost of $2500 each year. The salvage value decreases by $3000 each year. The machine is now three years old. Assuming an effective annual interest rate of 12% , the cost of owning and operating the machine for one more year is (A) $5500 (B) $6100 (C) $6600 (D) $7100 Engineering Economics DE

A mass of 0.025 kg is hanging from a spring with a spring constant of 0.44 N/m. If the mass is pulled down and released, what is most nearly the period of oscillation? (A) 0.50 s (B) 1.2 s (C) 1.5 s (D) 2.1 s 41-3

A normal distribution has a mean of 12 and a standard deviation of 3. If a sample is taken from the normal distribution, most nearly, what is the probability that the sample will be between 15 and 18? (A) 0.091 (B) 0.12 (C) 0.14 (D) 0.16

A parallel flow tubular heat exchanger cools water from 90*C to 70*C. The coolant increases the temperature from 0C to 35C. The log mean temperature difference is most nearly (A) 28 *C (B) 32 *C (C) 58 *C (D) 62 *C

A perfect sphere is projected up a friction-less incline by a spring. Which sphere property changes as the sphere travels upward? (A) angular velocity (B) total energy (C) potential energy (D) linear momentum Dynamics DE

A pipe has a thermal conductivity of 0.25 W/m*K and a length of 10 m. The inside diameter of the pipe is 1.2 cm, and the outside diameter of the pipe 2.0 cm. The outside convective heat transfer coefficient is 10 W/m^2*K, and the inside convective heat transfer coefficient is 150 W/m^2*K. The fouling factor for the inside of the pipe is 0.0005 m^2*K/W, and the fouling factor for the outside of the pipe is negligible. What is most nearly the overall heat transfer coefficient based on the outside surface area? (A) 2.4 W/m^2K (B) 3.2 W/m^2K (C) 7.6 W/m^2K (D) 9.6 W/m^2K

A plane element has an axial stress of sigma x = sigma y = 100 MPa and shear stress = 50 MPa. What are most nearly the (x,y) coordinates for the center of the Mohr's circle in MPa? (A) (0,100) (B) (50,0) (C) (100,0) (D) (100,50)

A projectile with a mass of 10 kg is fired directly upward from the ground level with an initial velocity of 1000 m/s. Neglecting the effects of air resistance, what will be the speed of the projectile when it impacts the ground? (A) 710 m/s (B) 980 m/s (C) 1000 m/s (D) 1400 m/s 40-5

A pump with 70% efficiency pumps water from ground level to a height of 5 m. The flow rate is 10 m^3/s . The pump power used by the pump is most nearly (A) 80 kW (B) 220 kW (C) 700 kW (D) 950 kW

A pump with a mass of 30 kg is supported by a spring with a spring constant of 1250 N/m. The motor is constrained to allow only vertical movement. What is most nearly the static deflection of the spring? (A) 0.11 m (B) 0.19 m (C) 0.24 m (D) 0.31 m 41-2

A refrigerant is saturated at 312K and 0.9334 MPa. Under these saturated conditions, the specific volume of the saturated liquid is 0.000795 m^3/kg, and the specific volume is 0.01872 m^3/kg. The quality is 0.02538. The total mass of the refrigerant is 400 kg. What is most nearly the volume of the liquid of the refrigerant? (A) 0.16 m^3 (B) 0.18 m^3 (C) 0.31 m^3 (D) 0.39 m^3

A saturated steam supply line is analyzed for specific internal energy. At 270*C, the internal energy of the steam is 2160.1 kJ/kg. The specific internal energy of the saturated vapor is 2593.7 kJ.kg. What is most nearly the quality of the steam? (A) 20% (B) 50% (C) 70% (D) 80$

A single-row ball bearing is to carry a radial load of 4.4 kN and a thrust load of 6.7 kN. The radial and thrust load factors are 0.63 and 1.25, respectively. If the inner ring rotates, what is most nearly the equivalent radial load? (A) 4.4 kN (B) 9.7 kN (C) 11 kN (D) 12 kN 43-14

A sphere has a radius of 10cm. What is approximately the sphere's volume? (A) 3600 cm^3 (B) 4000 cm^3 (C) 4200 cm^3 (D) 4800cm^3 (1-19)

A spring has a constant of 50 N/m. The spring is hung vertically, and a mass is attached to its end. The spring end displaces 30 cm from its equilibrium position. The same mass is removed from the first spring and attached to the end of a second (different) spring, and the displacement is 25 cm. What is most nearly the spring constant of the second spring? (A) 46 N/m (B) 56 N/m (C) 60 N/m (D) 63 N/m 40-4

A steel bar with a cross-sectional area of 6 cm^2 is subjected to axial tensile force of 50 kN applied at each end of the bar. What is most nearly the stress in the bar? (A) 67 MPa (B) 78 MPa (C) 83 MPa (D) 94 MPa 29-1

A steel pipe fixed at one end is subjected to a torque of 100000 Nm. Steel has a modulus of elasticity of 2.1 x 10^11 Pa and a Poisson's Ratio of 0.3. (SEE Mechanics DE) What is most nearly the resulting angle of twist of the pipe? (A) 0.012* (B) 0.12* (C) 0.69* (D) 0.95*

A tensile test is performed on a 12-mm-diameter aluminum alloy specimen (v = 0.33) using a 50-mm gage length. When an axial load reaches a value of 16 kN, the gage length has increased by 0.10 mm. What is most nearly, the modulus of elasticity? (A) 50 GPa (B) 65 GPa (C) 71 GPa (D) 82 GPa (ADV STRESS Ch 2 Part 2)

A test speciman with a circular cross section has an initial gauge length of 500 mm and an initial diamter of 60 mm. The speciman is placed in a tensile test apparatus. When the instantaneous tensile force in the speciman is 50 kN, the speciman has a longitudinal elongation of 0.16 mm and a lateral decrease in diameter of 0.01505mm. What is most nearly the modulus of elasticity? (A) 30 x 10^9 Pa (B) 46 x 10^9 Pa (C) 55 x 10^9 Pa (D) 70 x 10^9 Pa

A thin metal plate with dimensions of 20 cm x 20 cm carries a total charge of 24 mircoC. What is most nearly the magnitude of the electric field 2.5 cm away from the center of the plate? (A) 1.3 x 10^3 N/C (B) 3.7 x 10^3 N/C (C) 3.4 x 10^7 N/C (D) 4.3 x 10^8 N/C 33-3

A truss is loaded as shown. The support reactions have already been determined. (SEE 23-3 for image) Most nearly, what is the force in member CE? (A) 1000 N (B) 2000 N (C) 3000 N (D) 4000 N

A venturi meter is installed horizontally to measure the flow of water in a pipe. The area ratio of the meter, A2/A1 is 0.5, the velocity through the throat of the meter is 3 m/s, and the coefficient of velocity is 0.98. The pressure differential across the venturi meter is most nearly (A) 1.5 kPa (B) 2.3 kPa (C) 3.5 kPa (D) 6.8 kPa

A vessel of air is kept at 97 kPa and 300K. The molecular weight of air is 29 kg/kmol. The density of the air in the vessel is most nearly (A) 0.039 kg/m^3 (B) 0.53 kg/m^3 (C) 1.1 kg/m^3 (D) 3.2 kg/m^3

An 18 tooth straight spur gear transmits a torque of 1300 Nmm. The pitch circle diameter is 2.3 cm, and the angle of pressure is 37 degrees. What is most nearly the radial force on the gear? (A) 43 N (B) 57 N (C) 85 N (D) 110 N Mechanical DE

An I-beam is made of three planks, each 20 mm x 100 mm in cross section, nailed together with a single row of nails on top and bottom as shown. (SEE 31-5 FOR IMAGE) If the longitudinal spacing between the nails is 25 mm, and the vertical shear force acing on the cross section is 600 N, what is most nearly the shear per nail? (A) 56 N (B) 76 N (C) 110 N (D) 160 N

An aluminum bar 17 m long and 0.6 m in diameter is acted upon by an 11 kNm torque. The shear modulus of elasticity G is 26 GPa. Neglect bending. (SEE 30-4 FOR IMAGE) What is most nearly the angle of twist, phi, for the aluminum bar? (A) 0.00057* (B) 0.0057* (C) 0.032* (D) 0.082*

An analog-to-digital conversion process has a resolution of approximately 1.52588 x 10^-4 V. The voltage range is 0-10 V. How many bits are required to represent a sampled voltage digitally? (A) 4 (B) 8 (C) 16 (D) 32 47-7

An ellipse has a semimajor axis with length a = 12 and a semiminor axis with length b = 3. What is the approximate length of the perimeter of the ellipse? (A) 24 (B) 47 (C) 55 (D) 180

An engineering consultant has signed a standard owner-engineer contract to build a scale model of a bridge in time for the owner to present the proposal to a financing committee. After the scale model has been built, it is destroyed in a building fire that consumes the consultant's building. The consultant is unable to rebuild the model in time. A breach of contract judgment against the consultant is most likely NOT obtainable due to which legal argument? (A) caveat emptor (B) privity of contract (C) force majeure (D) strict liability in tort 51-2

An engineering firm receives much of its revenue from community construction projects. Which of the following activities would it be ethical for the firm to participate in? (A) Contribute to the campaigns of local politicians (B) Donate money to the city council to help finance the building of a new city park. (C) Encourage employees to volunteer in community organizations. (D) Rent billboards to increase the company's name recognition. Ethics DE

An ideal radiator is maintained at 550K. It is enclosed in a tank with a temperature of 290K. The radiator is small compared to the tank. What is most nearly the net heat transfer between them per unit area of radiator? (A) 2.9 kW/m^2 (B) 3.5 kW/m^2 (C) 4.8 kW/m^2 (D) 5.4 kW/m^2

An object is cooled by a circulating water bath. At a particular moment, the surface temperature of the body is 373K, while the bulk temperature of the water bath is 353K. The convective film coefficient is 350 W/m^2*K. The object has an exposed surface area of 1 m^2. Most nearly, what is the instantaneous rate of heat transfer from the object? (A) 3.5 kW (B) 5.0 kW (C) 7.0 kW (D) 8.2 kW

An open glass tube with a diameter of 1 mm contains mercury at 20*C. At this temperature, mercury has a surface tension of 0.519 N/m and a density of 13600 kg/m^3. The contact angle for mercury in a glass tube is 140*. The capillary depression is most nearly (A) 6.1 mm (B) 8.6 mm (C) 12 mm (D) 17 mm

An operating system is being developed for use in the control unit of an industrial machine. For efficiency, it is decided that any command to the machine will be represented by a combination of four characters, and that only eight distinct characters will be supported. What is the minimum number of bits required to represent one command? (A) 5 (B) 7 (C) 12 (D) 16 Computational Tools DE

At the end of each year for five years, $500 is deposited into a credit union account. The credit union pays 5% interest annually. At the end of five years (immediately following the fifth deposit), most nearly, how much will be in the account? (A) $640 (B) $1800 (C) $2800 (D) $3600 Engineering Economics DE

At the entry of a diverging section, the temperature of a gas is 27*C, and the Mach number is 1.5. The exit Mach number is 2.5. Assume isentropic flow of a perfect gas with a ratio of specific heats of 1.3. The temperature of the gas at exit is most nearly (A) -100*C (B) -85*C (C) -66*C (D) -31*C

Complete the sentence: "The U.S. Department of Justice's successful action in the 1970s against engineering codes of ethics that formally prohibited competitive biding was based on the premise that (A) competitive bidding allowed minority firms to participate (B) competitive bidding was required by many government contracts (C) the prohibitions violated antitrust statutes (D) engineering societies did not have the authority to prohibit competitive bidding 52-8

Consider the Ag-Cu phase diagram given. (SEE 27-18 FOR DIAGRAM) What is most nearly the equilibrium percentage of Beta in an alloy of 30% Ag, 70% Cu at 900*C? (A) 0.0% (B) 22% (C) 51% (D) 59%

Determine the Laplacian of the scalar function (1/3)x^3 - 9y + 5 at the point (3, 2, 7) (A) 0 (B) 1 (C) 6 (D) 9

Disregarding thermal roller strain, in which of the steel structures shown would a temperature change produce internal stress? (SEE Mechanics DE) (A) I only (B) I and III (C) I and IV (D) II, III, IV

Experimentation with a sintered carbide cutting tool at a 3.2 mm depth of cut has shown the Taylor wear constant, C, to be 522 and the tool life exponent, n, to be 0.25 for feed rate in m/min and time in min. What is most nearly the tool life at a cutting speed of 250 m/min? (A) 0.20 min (B) 1.0 min (C) 20 min (D) 200 min 28-2

For a counterflow concentric tube heat exchanger, if the number of transfer units is 0.76 and Cr = 1, what is most nearly the heat exchanger effectiveness? (A) 0.27 (B) 0.38 (C) 0.43 (D) 0.67

For an irreversible process, the total change in entropy of the system and surroundings is (A) infinity (B) 0 (C) greater than 0 (D) less than 0

For the circuit shown, what are most nearly the resonant frequency and the quality factor? (SEE 35-10 FOR CIRCUIT DIAGRAM) (A) 1.3 x 10^3 rad/s; 26 (B) 2.0 x 10^3 rad/s; 0.026 (C) 1.3 x 10^4 rad/s; 260 (D) 1.5 x 10^4 rad/s' 2600

For the circuit shown, what is most nearly the equivalent resistance seen by the battery? (SEE 34-2 FOR CIRCUIT DIAGRAM) (A) 0.38 ohms (B) 2.2 ohms (C) 2.6 ohms (D) 6.2 ohms

For the composite plane area made up of two circles as shown, the moment of inertia about the y-axis is 4.7 cm^4, and the moment of inertia about the x-axis is 23.5 cm^4. (SEE 25-12 FOR IMAGE) (A) 0 cm^4 (B) 14 cm^4 (C) 28 cm^4 (D) 34 cm^4

For the element of plane shown, what are most nearly the principal stresses? (SEE 29-6) (A) 35 MPa, -25 MPa (B) 45 MPa, 55 MPa (C) 70 MPa, -30 MPa (D) 85 MPa, 15 MPa

For the feedback control system shown, what is the steady-state error function, ess(t), for a ramp input function? (SEE 48-6) (A) 0 (B) 1/4 (C) 15/8 (D) infinity

For the irregular area under the curve shown, a = 3, and b = 15. The formula of the curve is f(x) = (1-x)(x-30) What is the approximate area using the trapezoidal rule? (A) 1200 (B) 1300 (C) 1600 (D) 1900 5-2

For the program segment shown, the input value of X is 5. What is the output value of T? Input X N = 0 T = 0 DO WHILE N < X T = T + X^N N = N + 1 END DO OUTPUT T (A) 156 (B) 629 (C) 781 (D) 3906 Computational Tools DE

From the illustration shown, what is most nearly the pressure difference between tanks A and B? (A) 110 kPa (B) 120 kPa (C) 130 kPa (D) 140 kPa

Hot air at an average temperature of 100*C flows through a 3 m long tube with an inside diameter of 60 mm. The temperature of the tube is 20*C along its entire length. The average convective film coefficient is 20.1 W/m^2*K. What is most nearly the rate of convective heat transfer from the air to the tube? (A) 520 W (B) 850 W (C) 910 W (D) 1100W

If $500 is invested at an annual interest rate of 8% per year, its future worth at the end of 30 years will be most nearly: (A) $1,200 (B) $1,700 (C) $5,031 (D) $15,000 (FE Sample Problem)

If 55%of energy from a gray body is reflected, what is most nearly the emissivity of the body? (A) 15% (B) 25% (C) 45% (D) 55%

If the ratio of vapor mass to liquid mass in a mixture is 0.8, the quality of the mixture is most nearly (A) 0.20 (B) 0.25 (C) 0.44 (D) 0.80

If you need to have $800 in savings at the end of four years and your savings account yielded 5% interest paid annually, most nearly how much would you need to deposit today? (A) $570 (B) $600 (C) $660 (D) $770 Engineering Economics DE

In a spreadsheet, the formula $A$3 + $B3 + D2 is entered into cell C2. The contents of cell C2 are copied and pasted into cell D5. The formula in cell D5 is (A) $A$3 + C$2 + C4 (B) $B$6 + $C4 +C4 (C) $A$3 + $B6 + E5 (D) $A$3 + $B2 + B2 Computational Tools DE

Liquid metal flows through a tube with constant surface temperature. The Reynolds number is 2700, and the Prandtl number is 0.04. What is most nearly the Nusselt number? (A) 2.5 (B) 6.6 (C) 8.1 (D) 9.7

Match the Terms a. System b. Closed System c. Open system d. property e. extensive f. Intensive g. Specific h. Process 1.) Property per unit mass 2.) Properties that are independent of mass 3.) properties that depend on the size or extent of the system 4.) Characteristic of a substance 5.) A system where energy transfer occurs in the form of heat, work, and mass 6.) A system where energy transfer occurs in form of heat and work only 7.) Any region of space defined by the observer (A) a, c, b, d, e, g, f, h (B) a, b, c, d, e, f ,g, h (C) h, g, f, e, d, c, b, a (D) h, f, g, e, d, b, c, a

Match the phase description 1. Real Gas 2. Gas mixtures 3. Vapor-gas mixture I. Most gases mix together freely. Two or more pure gases together constitute a _____________ II. Atmospheric air is an example of a mixture of several gases and water vapor III. A ____________ does not behave according to the ideal gas laws (A) 1, 2, 3 (B) 3, 2, 1 (C) 2, 3, 1 (D) 3, 1, 2

Match the process description I. Adiabatic Process II. Isentropic Process III. Throttling Process IV. Constant Pressure Process V. Constant Temperature Process VI. Constant Volume Process VII. Polytropic Process -Also known an isothermal process -A process in which no energy crosses the system boundary. (includes isentropic and throttling processes) - An adiabatic process in which there is no entropy production (it is reversible) -Also known as an isobaric process - A process that obeys the polytropic equation of state -Also known as an isochoric process - An adiabatic process in which there is no change in enthalpy, but for which there is not significant pressure drop A.) I, II, III, IV, V, VI, VII B.) VII, VI, V, IV, III, II, I C.) V, I, II, IV, VII, VI, III D.) I, III, V, VI, II, IV, VII

Most nearly, what is the volume of 0.05 kg of refrigerant HFC-134a at 1.3 MPa with a quality of 37.5%? (A) 9.6 x 10^-5 m^3 (B) 1.7 x 10^-5 m^3 (C) 3.1 x 10^-5 m^3 (D) 2.2 x 10^-5 m^3

One leg of a mercury U-tube manometer is connected to a pipe containing water under a gauge pressure of 100kPa. The mercury in this leg stands 0.75 m below the water. The mercury in the other leg is open to the air. The density of the water is 1000 kg/m^3, and the specific gravity of the mercury is 13.6. (A) 0.05 m (B) 0.5 m (C) 0.8 m (D) 1 m (See 8-2 for image)

Perform the initial sizing of the pipe to move 0.1 m^3/s of water from tank 1 to tank 2 using a pipe diameter guess of 20cm. The elevation at the top of tank 1 is z = 10 cm and the pressure is 200 kPa (gauge pressure); and for tank 2 z = 55m and the pressure is Patm. Assume that the pump generates 50 meters of head (hp = 50 m). The total length of the piping is L = 300 m. (Density = 1000 kg.m^3/v=1.27x10^-6m^2/s, roughness = 0.05 mm) Based on your answer would you pick a larger, same, or smaller pipe diameter? (A) Larger; hp = 65.78 m (B) Same; hp = 50 m (C) Smaller; hp = 41.65 m (D) Smaller; hp = 35.54 m

Seventeen years ago, Susan designed a corrugated steel culvert for a rural road. Her work was accepted and paid for by the county engineering department. Last winter, culvert collapsed as a loaded logging truck pass over. Although there were no injuries, there was damage to the truck and roadway, and the county tried unsuccessfully to collect on Susan's company's bond. The judge denied the claim on the basis that the work was done too long ago. The defense is known as (A) privity of contract (B) duplicity of liability (C) statute of limitations (D) caveat emptor Ethics DE

Six design engineers are eligible for promotion to pay grade G8, but only four spots are available. How many different combinations of promoted engineers are possible? (A) 4 (B) 6 (C) 15 (D) 20

Steam flows at 34 kg/s through a steam turbine. The steam decreases in temperature from 150*C to 145*C, while the specific heat of the steam remains constants at 2.1 kJ/kg*C. Assume a negligible change in kinetic energy. The ideal power generated by the turbine is most nearly (A) 36 kW (B) 43 kW (C) 360 kW (D) 430 kW

Stormwater flows through a square concrete pipe that has a hydraulic radius of 1 m and an energy grade line slope of 0.8. Using the Hazen-Williams equation, the velocity of the water is most nearly (A) 43 m/s (B) 67 m/s (C) 98 m/s (D) 150 m/s

The 5 cm long uniform slender rod shown has a mass of 20 g. The origin of the y-axis corresponds with the rod's center of gravity. The centroidal mass moment of inertia is 42 g/cm^2. (SEE IMAGE 39-2) What is most nearly the mass moment of inertia of the rod about the y' axis 2 cm to the right? (A) 0.12 kg cm^2 (B) 0.33 kg cm^2 (C) 0.45 kg cm^2 (D) 0.91 kg cm^2

The 8 cm x 12 cm rectangular flume is filled to three-quarters of its height. What is most nearly the hydraulic radius of flow? (A) 1.5 cm (B) 2.5 cm (C) 3.0 cm (D) 5.0 cm

The Rayleigh number for a large diameter vertical pipe 1.7 m high is 1.4 x 10^5. Natural convection occurs in the laminar regime. The thermal conductivity of the pipe is 0.028 W/m*K. What is most nearly the average heat transfer coefficient? (A) 0.10 W/m^2*K (B) 0.13 W/m^2*K (C) 0.19 W/m^2*K (D) 0.27 W/m^2*K

The activation energy for creep is 161 kJ/mol for a given alloy. If the applied stress is fixed and the stress sensitivity remains the same, by approximately what factor does the creep rate change when the temperature increase from 350*C to 450*C? (A) 2.2 (B) 3.0 (C) 74 (D) 220 (SEE Material Prop Diagnostic Exam)

The activation energy, Q, for aluminum in a copper solvent at 575*C is 1.6 x 10^5 kJ/kmol. What is most nearly the diffusion coefficient, D, if the proportionality constant, Do, is 7 x 10^-6 m^2/s? (A) 4.0 x 10^-47 m^2/s (B) 2.0 x 10^-20 m^2/s (C) 9.8 x 10^-16 m^2/s (D) 2.3 x 10^-5 m^2/s 27-1

The base of a 1.2 cm x 1.2 cm x 25 cm long rectangular rod is maintained at 150*C by an electrical heating equipment. The conductivity of the rod is 140 W/m*K. The ambient air temperature is 27*C, and the average film coefficient is 9.4 W/m^2*K. The fin has an adiabatic tip. What is the most nearly the energy input required to maintain the base temperature? (A) 0.10 W (B) 1.7 W (C) 9.7 W (D) 100 W

The cantilever truss shown supports a vertical force of 600000N applied at point G. (SEE STATICS DIAGNOSTIC EXAM) What is most nearly the force in member CF? (A) 0.96 MN (B) 1.2 MN (C) 1.6 MN (D) 2.3 MN

The cells in a spreadsheet are initialized as shown. The formula B1 + $A$1*A2 is entered into cell B2 and then copied into cells B3 and B4. (See 49-6 for spreadsheet) What value will be displayed in cell B4? (A) 123 (B) 147 (C) 156 (D) 173

The cells in the spreadsheet application are defined as follows. (See Computational Tools DE) What is the value of cell A4? (A) 0.83 (B) 1.0 (C) 2.5 (D) 8.3

The cofactor matrix of matrix A is C. A = [4, 2, 3; 3, 2, 2; 2, 1, 4] C = [6, -8, -1; -5, 10, 0; -2, 1, 2] What is the inverse of matrix A? (A) [0.25, 0, 0; 0, 0.5, 0; 0, 0 0.25] (B) [0.25, 0.50, 0.33; 0.33, 0.50, 0.50; 0.50, 1.0, 0.25] (C) [1.2, -1.0, -0.4; -1.6, 2.0, 0.20; -0.20, 0, 0.40] (D) [0.80, 0.40, -0.60; 0.20, -0.40, 0.40; -0.40, 0.60, 0.80] (2-8)

The construction of a volleyball court will cost $1200, and annual maintenance cost is expected to be $300. At an effective annual interest rate of 5%, the project's capitalized cost is most nearly (A) $2000 (B) $3000 (C) $7000 (D) $20,000 50-10

The diameter of a water pipe gradually changes from 5 cm at the entrance, point A, to 15 cm at the exit, point B. The exit is 5 m higher than the entrance. The pressure is 700 kPa at the entrance and 664 kPa at the exit. Friction between the water and the pipe walls is negligible. The water density is 1000 kg/m^3. What is most nearly the rate of discharge at the exit? (A) 0.0035 m^3/s (B) 0.0064 m^3/s (C) 0.010 m^3/s (D) 0.018 m^3/s (See 9-3 for image)

The electric field (V/m) of a particular plane wave propagating in a dielectric medium is given by (SEE 35-2 FOR EQUATION) Time, t, has units of seconds. What is most nearly the field's oscillation frequency? (A) 6.3 MHz (B) 7.0 MHz (C) 16 MHz (D) 160 MHz

The elevator in a 12 story building has a mass of 1000 kg. Its maximum velocity and maximum acceleration are 2 m/s and 1 m/s, respectively. A passenger with a mass of 75 kg stands on a bathroom scale in the elevator ascends at its maximum acceleration. What is most nearly the scale reading just as the elevator reaches maximum acceleration? (A) 75 N (B) 150 N (C) 810 N (D) 880 N Dynamics DE

The initial bolt tension on a 16 mm steel bolt is 45 kN. What is most nearly the approximate torque required to tighten the bolt? (A) 85 kN x mm (B) 110 kN x mm (C) 140 kN x mm (D) 180 kN x mm 42-7

The input signal for the transfer function shown is a step function of height 5 at t =0. input -> (4/(s^2 + 7s + 10) -> Output What is the steady-state output? (A) 0.4 (B) 0.8 (C) 2.0 (D) 2.5 Instrumentation DE

The least squares method is used to plot a straight line through the data points (1,6), (2,7), (3,11), and (5,13). The slope of the line is most nearly (A) 0.87 (B) 1.7 (C) 1.9 (D) 2.0

The number 2 is entered into cell A1 in a spreadsheet. The formula $A$1 + A1 is entered into cell B1. The contents of cell B1 are then copied and pasted into cell C1. The number displated in cell C1 is (A) 2 (B) 4 (C) 6 (D) 8

The polyester repeating unit (-|CO(CH2)4CO-OCH2CH2O]-) is formed by combing the repeating units -[HO2C-(CH2)4-CO2H]- and -[HO-CH2CH2-OH]-. Most accurately, what type of polymer is polyester? (A) addition polymer (B) comonomer polymer (C) condensation polymer (D) vinyl polymer

The position of a car traveling around a curve is described by the following function of time (in seconds). Theta(t) = t^3 - 2t^2 -4t + 10 What is most nearly the angular velocity after 3 s of travel? (A) -16 rad/s (B) -4.0 rad/s (C) 11 rad/s (D) 15 rad/s 37-6

The probability distribution of the number of calls, X, that a customer service agent receives each hour is shown. x f(x) 0 0.0 2 0.04 4 0.05 6 0.10 8 0.35 10 0.46 What is most nearly the average number of phone calls that a customer service agent expects to receive in an hour? (A) 5 (B) 7 (C) 8 (D) 9

The results of a tensile test on a round speciman of a given material are shown. (SEE Material Prop Diagnostic Exam) What is most nearly the elastic limit of the material? (A) 30 kN/cm^2 (B) 31 kN/cm^2 (C) 35 kN/cm^2 (D) 52 kN/cm^2

The results of a tensile test on a round specimen of a given material are shown. (SEE Material Prop Diagnostic Exam) What is most nearly the yield stress? (A) 14 kN/cm^2 (B) 26 kN/cm^2 (C) 31 kN/cm^2 (D) 48 kN/cm^2

The shear diagram for a simply supported beam is as shown. (SEE 31-2 FOR IMAGE) What is most nearly the maximum moment in the beam? (A) 100 Nm (B) 430 Nm (C) 490 Nm (D) 740 Nm

The simple four-bar linkage shown is configured into the open positioned. Link 1 is 0.57 long, link 2 is 0.21 m long, link 3 is 0.45 m long, and link 4 is 0.36 m long. Taking link 1 as the reference link, the angle that link makes with the reference link, theta 2, is 62 degrees. (SEE Mechanical DE) What is most nearly the value of angle 4? (A) 49 Degrees (B) 85 Degrees (C) 99 Degrees (D) 110 Degrees

The slenderness ratio, Kl, of a column divided by r is one of the terms in the equation for the buckling of a column subjected to compression loads. What does r stand for in the Kl/r ratio? (A) radius of the column (B) radius of gyration (C) least radius of gyration (D) maximum radius of gyration 32-4

The standard (25*C) heat of combustion for hydrogen fuel in a bomb calorimeter is -285.8 kJ/mol. The mean specific heat of liquid water between the temperatures of 25*C and 50*C is 4.179 kJ/kg*C. Most nearly, what is the molar heat of combustion if the combustion products in a 25*C bomb calorimeter are cooled at 50*C instead of the normal 25*C? (A) -295 kJ/kg (B) -288 kJ/kg (C) -284 kJ/kg (D) -280 kJ/kg

The switch in the circuit shown is closed at t = 0. (SEE 34-11 FOR CIRCUIT DIAGRAM) What is the approximate voltage across the inductor at t = 30s? (A) 1.0 V (B) 19 V (C) 21 V (D) 48 V

The unloaded propped cantilevered shown is fixed at one end and simply supported at the other end. The beam has a mass of 30.6 kg/m. The modulus of elasticity of the beam is 210 GPa; the moment of inertia is 2880 cm^4. (SEE 31-10 FOR IMAGE) What is most nearly the reaction at the simply supported end? (A) 72 N (B) 510 N (C) 560 N (D) 770 N

The values of cos(45*) and tan(45*), respectively, are.... (A) 1 and SQRT(2)/2 (B) 1 and SQRT(2) (C) SQRT(2)/2 and 1 (D) SQRT(2) and 1

The water level on a tank in a chemical plant is measured every 6 hours. The tank has a depth of 6m. The water levels on the tank on a certain day were found to be 2.5 m, 4.2 m, 5.6 m, and 3.3 m. What is most nearly the root-mean-square value of water level for that day? (A) 2.0 m (B) 3.3 m (C) 4.1 m (D) 5.8m

The wave form shown repeats every 10 ms. (SEE 35-3 FOR GRAPH) What is most nearly the average value of the waveform? (A) -20 A (B) -4.0 A (C) -3.0 A (D) 8.0 A

Three circles of radii 110m, 140m, and 220m are tangent to one another. What are the interior angles of the triangle formed by joining the centers of the circles? (Hint: Only have side lengths) (A) 34.2*, 69.2*, 76.6* (B) 33.6*, 69.1*, 74.3* (C) 42.2*, 62.5*, 75.3* (D) 47.9*, 63.1*, 69.0* (1-15)

Two 20 m diameter circles are placed so that the circumference of each just touches the centers of the other. What is most nearly the area of the shared region? (A) 62m^2 (B) 110m^2 (C) 120m^2 (D) 170m^2

Two floating point numbers, A and B, are passed to a recursive subroutine. If number A is greater than or equal to 7, the subroutine returns the value of the number A to the main program. If number A is less than the smaller of 7 and number B, number A is divided by 2. The subroutine then passes the quotient and number B to itself. Most likely, what condition might this subroutine encounter? (A) overflow (B) miscompare (C) infinite loop (D) type mismatch 49-4

Two large parallel plates are maintained electrically at uniform temperatures. Plate 1 has a surface temperature of 900K and an emissivity of 0.5. Plate 2 has a surface temperature of 650K and an emissivity of 0.8. The facing surfaces of both plates constitute opaque, diffuse gray radiators. A thin aluminum radiation shield is placed between the plates. The space between the plates is evacuated so that the convective effects are negligible. The emissivity of both sides of the radiation shield is 0.15. In steady state, what is most nearly the net heat flux from plate 1 to plate 2? (A) 940 W/m^2 (B) 1500 W/m^2 (C) 1900 W/m^2 (D) 2600 W/m^2

Two spheres, one with a mass of 7.5 kg and the other with a mass of 10.0 kg, are in equilibrium as shown. (SEE DE STATICS FOR IMAGE) If all surfaces are frictionless, what is most nearly the magnitude of the reaction at point B? (A) 170 N (B) 200 N (C) 210 N (D) 240 N

Two square parallel plates (0.04 m x 0.04 m) are separated by a 0.1 cm thick insulator with a dielectric constant of 3.4. What is most nearly the capacitance? (A) 1.2 x 10^-12 F (B) 1.4 x 10^-11 F (C) 4.8 x 10^-11 F (D) 1.1 x 10^-10 F

Water at 10*C is pumped through 300 m if steel pipe at a velocity of 2.3 m/s. The pipe has an inside diameter of 84.45 mm and a friction factor of 0.0195. The friction loss is most nearly (A) 2.0 m (B) 8.6 m (C) 19 m (D) 24 m

Water exits a tank through a nozzle with a diameter of 5 cm located 5 m below the surface of the water. The water level in the tank is kept constant. The loss coefficient for the nozzle is 0.5. The flow rate through the nozzle is most nearly (A) 7.1 L/s (B) 11 L/s (C) 16 L/s (D) 24 L/s (See 9-8 for image)

Water flows at 14 m^3/s in a 6 in wide rectangular open channel. The critical velocity is most nearly (A) 0.82 m/s (B) 1.8 m/s (C) 2.8 m/s (D) 14 m/s

Water flows through the open concrete channel shown. Assume a Manning roughness coefficient of 0.013 for concrete. What is most nearly the minimum slope needed to maintain the flow at 3 m^3/s? (A) 0.00015 (B) 0.00052 (C) 0.0015 (D) 0.0052

Water with a bulk temperature of 27*C flows over and across a long, hot pipe of 4 cm diameter at a velocity of 1.2 m/s. At 27*C, the density of water is 1.0 x 10^3 kg/m^3, and the absolute viscosity is 850 x 10^-6 kg/s*m. What is most nearly the Reynolds Number? (A) 44000 (B) 51000 (C) 56000 (D) 61000

What is an equivalent expression for sin(2alpha)? (A) -2sin(alpha)cos(alpha) (B) (1/2)sin(alpha)cos(alpha) (C) 2sin(alpha)/sec(alpha) (D) 2sin(alpha)cos(alpha/2)

What is most nearly the geometric mean of the following set of data? 0.820, 1.96, 2.22, 0.190, 1.00 (A) 0.79 (B) 0.81 (C) 0.93 (D) 0.96

What is most nearly the moment of inertia of a rectangular 46 cm x 61 cm beam installed in its strongest vertical orientation? (A) 4.9 x 10^-3 m^4 (B) 6.1 x 10^-3 m^4 (C) 8.7 x 10^-3 m^4 (D) 3.5 x 10^-2 m^4 31-4

What is the cross product, A x B, of vectors A and B? A = i + 4j + 6k B = 2i +3j + 5k (A) i - j - k (B) -i + j + k (C) 2i + 7j -5k (D) 2i + 7j + 5k

What is the equation of the circle passing through the points (0, 0), (0, 4), and (-4,0)? (A) (x-2)^2 + (y-2)^2 = SQRT(8) (B) (x-2)^2 + (y-2)^2 = 8 (C) (x+2)^2 + (y-2)^2 = 8 (D) (x+2)^2 + (y+2)^2 = SQRT(8)

What is the minimum value of the function f(x) = 3x^2 + 3x -5? (A) -12.0 (B) -8.0 (C) -5.75 (D) -5.00

What is the sum of the two vectors 5i + 3j -7k and 10i -12j + 5k? (A) 8i - 7j - k (B) 10i - 9j + 3k (C) 15i - 9j - 2k (D) 15i + 7j - 3k

What should be the turn ratio (N1:N2) for maximum power transfer in the circuit shown? (SEE Electrical DE) (A) 1:40 (B) 1:20 (C) 20:1 (D) 40:1

What us the general form of the equation for a line whose x-intercept is 4 and y-intercept is -6? (A) 2x-3y-18 = 0 (B) 2x+3y+18 = 0 (C) 3x - 2y - 12 = 0 (D) 3x +2y + 12 = 0

When the current in a straight wire is 5 A, the current-induced flux passing through an area 3 m from the wire is 30 mWb. If the current is decreased to 4 A, the flux passing through that same area will most nearly be (A) 19 mWb (B) 20 mWb (C) 24 mWb (D) 27 mWb See Electrical DE

Which of the following expressions is equivalent to the expression csc(theta)((cos(theta))^3)tan(theta)? (A) sin(theta) (B) cos(theta) (C) 1 - (sin(theta)^2 (D) 1 + (sin(theta)^2

Which statement about a quadratic equation of the form ax^2 + bx + x = 0? (A) It has two different roots (B) If one of its roots is real, the other root can be imaginary (C) The curve defined by the equation will pass through the y-axis (D) The curve defined by the equation will pass through the x-axis

Which vector has a positive vector curl? (A) I (B) II (C) III (D) IV See Mathematics Diagnostic Exam for Image

While working to revise the design of the suspension for a popular car, an engineer discovers a flaw in the design currently being produced. Based on a statistical analysis, the company determines that although this mistake is likely to cause a small increase in the number of fatalities seen each year, it would be prohibitively expensive to do a recall to replace the part. Accordingly, the company decides not to issue a recall notice. What should the engineer do? (A) The engineer should go along with the company's decision. The company has researched its options and chosen the most economic alternative. (B) The engineer should send an anonymous tip to the media, suggesting that they alert the public and begin an investigation of the company's business practices. (C) The engineer should notify the National Transportation Safety Board (NTSB), providing enough information for them to initiate a formal inquiry (D) The engineer should resign from the company. Because of the standard nondisclosure agreements, it would be unethical as well as illegal to disclose any information about this situation. In addition, the engineer should not associate with a company that is engaging in such behavior. 52-4

Whistle-blowing is best described as calling public attention to (A) your own previous unethical behavior (B) unethical behavior of employees under your control (C) secret illegal behavior by your employer (D) unethical or illegal behavior in a government agency you are monitoring as a private individual 52-7

Without your knowledge, an old classmate applies to the company you work for. Knowing that you recently graduated from the same school, the director of engineering shows you the application and resume that your friend has submitted and asks your opinion. It turns out that your friend has exaggerated his participation in campus organizations, even claiming to have been an officer in an engineering society that you are sure he was never in. On the other hand, you remember him as highly intelligent student and you believe that he could really help the company. How should you handle the situation? A) You should remove yourself from the ethical dilemma by claiming that you do not remember enough about the applicant to make an informed decision. B) You should follow your instincts and recommend the applicant. Almost everyone stresses the truth a little in their resumes, and the thing you are really asked to evaluate is his usefulness to the company. If you mention the resume padding, the company may lose a good prospect. C) You should recommend the applicant, but qualify your recommendation by pointing out that there are exaggerations of some details on his resume. D) You should point out the inconsistencies in the applicant's resume and recommend against hiring him. 52-5

x = -2 is one of the roots of the equation x^3 + x^2 -22x -40 =0. What are the other two roots? (A) -5 and 5 (B) -5 and 2 (C) -4 and 5 (D) -4 and 2

$2000 will become available on January 1 in year 8. If interest is 5%, what is most nearly the present worth of this sum on January 1 in year 1? (A) $1330 (B) $1350 (C) $1400 (D) $1420 50-4

$5000 is put into an empty savings account with a nominal interest rate of 5%. No other contributions are made to the account. With monthly compounding, approximately how much interest will have been earned after five years? (A) $1250 (B) $1380 (C) $1410 (D) $1420 Engineering Economics DE

100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows. 45 measurements between 0.859 and 0.900 0.901 was observed once 0.902 was observed three times 0.903 was observed twice 0.904 was observed four times 45 measurements between 0.905 and 0.958 The smallest value was 0.859, and the largest value was 0.958. The sum of all 100 measurements was 91.170. Except those noted, no measurements occurred more than twice. What are the mean, mode, and median of the measurements, respectively? (A) 0.908; 0.902; 0.902 (B) 0.908; 0.904; 0.903 (C) 0.912; 0.902; 0.902 (D) 0.912; 0.904; 0.903

1g of oxygen and 2 g of helium are mixed in a gas sampling bag. The gases are at 50*C and atmospheric pressure. What is most nearly the volume of the bag? (A) 0.002 m^3 (B) 0.007 m^3 (C) 0.012 m^3 (D) 0.014 m^3

20*C air flows at 0.75 m/s over and parallel to a wide flat plate 1.7 m long. At 20*C, the density of air is 1.2 kg/m^3, and the absolute viscosity is 1.8 x 10^-5 kg/m*s. What is the most nearly the Reynolds number for the purpose of forced convection? (A) 12000 (B) 23000 (C) 47000 (D) 85000

350 MJ of heat are transferred into a system during each power cycle. The heat transferred out of the system is 297.5 MJ per cycle. Most nearly, what is the thermal efficiency of the cycle? (A) 1.0% (B) 5.0% (C) 7.5% (D) 15%

A 10kg block hangs from a cable. What is most nearly the tension in the cable? (A) 1.0N (B) 9.8N (C) 65N (D) 98N

A 17 m^2 plate with an emissivity of 0.26 is suspended vertically in a large room. If the absolute temperature is 430K, what is most nearly the radiation emitted? (A) 2.6 kW (B) 3.5 kW (C) 6.7 kW (D) 8.6 kW

A 2 kg clay ball moving at a rate of 40 m/s collides with a 5 kg ball of clay moving in the same direction at a rate of 10 m/s. What is most nearly the final velocity of both balls if they stick together after colliding? (A) 10 m/s (B) 12 m/s (C) 15 m/s (D) 19 m/s 40-8

A 200 mm pump operating at 1500 rpm discharges 120 L/s of water. The capacity of a homologous 250 mm pump operating at the same speed is most nearly (A) 150 L/s (B) 180 L/s (C) 200 L/s (D) 230 L/s

A 3kg block is moving at a speed of 5 m/s. The force required to bring the block to a stop in 8 x 10^-4 s is most nearly (A) 10 kN (B) 13 kN (C) 15 kN (D) 19 kN 38-2

A 50 kg solid cylinder has a height of 3 m and a radius of 0.5 m. The cylinder sits on the x-axis and is oriented with its longitudinal axis parallel to the y-axis. What is most nearly the mass moment of inertia about the x-axis? (A) 4.1 kg m^2 (B) 16 kg m^2 (C) 41 kg m^2 (D) 150 kg m^2 39-4

A 60000 kg railcar moving at 1 km/h is coupled to a second, stationary railcar. If the velocity of the two cars after coupling is 0.2 m/s (in original direction of motion) and the coupling is completed in 0.5s, what is most nearly the average impulsive force on the railcar? (A) 520 N (B) 990 N (C) 3100 N (D) 9300 N 40-6

A Texas baseball team purchased a $140,000 pitching machine that has a useful life of seven years. If the machine has a salvage value of $20,000 at the end of its life, and straight line depreciation is used, the book value at the end of year 4 is most nearly (A) $20,000 (B) $50,000 (C) $60,000 (D) $70,000 Engineering Economics

A beam has a triangular cross section as shown. The beam carries a uniformly distributed load of 80 N/m along its entire length. (SEE Mechanics DE) What is most nearly the maximum compressive stress in the beam? (A) 7.8 MPa (B) 16 MPa (C) 23 MPa (D) 31 MPa

A circle with a radius of 5 is centered at the orgin. What is the standard form of the equation of the line tangent to this circle at the point (3, 4)? (A) x = (-4/3)y - (25/4) (B) y = (3/4)x + (25/4) (C) y = (-3/4)x + (9/4) (D) y = (-3/4)x + (25/4)

A closed loop is shown. (See instrumentation DE) Most nearly, at what gain constant, K, does the system become marginally stable? (A) 10 (B) 60 (C) 100 (D) 240

A concrete wall is 20 cm thick and has an overall thermal resistance of 0.2 m^2C/W. The temperature difference between the two wall surfaces is 5C. What is most nearly the heat transfer through the wall? (A) 1.5 W/m^2 (B) 2.5 W/m^2 (C) 13 W/m^2 (D) 25 W/m^2

A course has four exams that comprise the entire grade for the course. Each exam is weighted. A student's scores on all four exams and the weight for each exam are as given exam student score weight 1 80% 1 2 95% 2 3 72% 2 4 95% 5 What is most nearly the student's final grade in the course? (A) 82% (B) 85% (C) 87% (D) 89%

A deck of ten children's cards contains three fish cards, two dog cards, and five cat cards. What is the probability of drawing either a cat card or a dog card from a full deck? (A) 1/10 (B) 2/10 (C) 5/10 (D) 7/10 (Law of Total Probability)

A fair coin is tossed three times. What is the approximate probability of heads appearing at least one time? (A) 0.67 (B) 0.75 (C) 0.80 (D) 0.88

A fluid with a vapor pressure of 0.2 Pa and a specific gravity of 12 is used in a barometer. If the fluid's column height is 1 m, the atmospheric pressure is most nearly (A) 9.8 kPa (B) 12 kPa (C) 98 kPa (D) 120 kPa

A gas goes through the following thermodynamic processes. A to B: constant-temperature compression B to C: constant-volume cooling C to A: constant-pressure expansion The pressure and volume at state C are 140 kPa and 0.028m^3, respectively. The net work during the C-to-A process is 10.5 kJ. The volume at state A is 0.103 m^3. What is most nearly the worked performed in the A-to-B process? (A) 0 kJ (B) 5.3 kJ (C) 13 kJ (D) 19 kJ

A golfer on level ground at the edge of a 50 m wide pond attempts to drive a golf ball across the pond, hitting the ball so that it travels at 25 m/s. The ball travels at an initial angle of 45 degrees to the horizontal plane. Approximately how far will the golf ball travel? (A) 32 m (B) 45 m (C) 58 m (D) 64 m 37-9

A heat pump takes heat from groundwater at 7*C and maintains a room at 21*C. What is most nearly the maximum coefficient of performance possible for this heat pump? (A) 1.4 (B) 2.8 (C) 5.6 (D) 21

A hole has a nominal size of 11 mm and a maximum size of 11.016 mm. What are most nearly the tolerance and the minimum diameter of the hole, respectively? (A) 0.010 mm; 5.0 mm (B) 0.012 mm; 7.0 mm (C) 0.014 mm; 9.0 mm (D) 0.016 mm; 11 mm 46-7

A hollow, thin-walled shell has a wall thickness of 12.5 mm. The shell is acted upon by a 280 Nm torque. (SEE 30-5 FOR IMAGE) Find the approximate torsional shear stress in the shell's wall. (A) 14 kPa (B) 44 kPa (C) 59 kPa (D) 92 kPa

A horizontal pipe 10 cm in diameter carries 0.05 m^3/s of water to a nozzle, through which the water exits to atmospheric pressure. The exit diameter of the nozzle is 4 cm. Losses through the nozzle are negligible. The pressure at the entrance to the nozzle is most nearly (A) 420 kPa (B) 560 kPa (C) 680 kPa (D) 770 kPa

A horizontal pipe has a diameter of 0.21 , and an outer surface temperature of 350K. The pipe is surrounded by stationary water with a bulk temperature of 300K. For water at 300K, the kinematic viscosity is 1.6 x 10^-5 m^2/s. The coefficient of thermal expansion is 0.0028 K^-1, and the Prandtl number is 0.72. What is most nearly the Rayleigh number? (A) 2.2 x 10^7 (B) 2.9 x 10^7 (C) 3.3 x 10^7 (D) 3.6 x 10^7

A marksman can hit a bull's-eye from 100 m three times out of every four shots. What is the probability that he will hit a bull's-eye with at least one of his next three shots? (A) 3/4 (B) 15/16 (C) 31/32 (D) 63/64

A mixture contains 50 g of nitrogen and 25 g of carbon dioxide. The gases are stored in a container at 500K. At this temperature, the molar enthaply of the nitrogen is 5912 J/mol, and the molar enthaply of the carbon dioxide is 8314 J/mol. What is most nearly the total enthalpy of the mixture? (A) 5.7 kJ (B) 8.3 kJ (C) 11 kJ (D) 15 kJ

A model of a dam has been constructed so that the scale of dam to model is 15:1. The similarity is based on Froude numbers. At a certain point on the spillway of the model, the velocity is 5 m/s. At the corresponding point on the spillway of the actual dam, the velocity would most nearly be (A) 6.7 m/s (B) 7.5 m/s (C) 15 m/s (D) 19 m/s

A nonvolatile, non-electrolytic liquid is combined with a solid to form a solution that just boils at 1 atm pressure. The vapor pressure of the pure liquid is 850 torr. Most nearly, what is the molar percentage of the liquid in the solution? (A) 64% (B) 79% (C) 86% (D) 89%

A particle initially traveling at 10 m/s experiences a linear increase in acceleration in the direction of motion as shown. The particle reaches an acceleration of 20 m/s^2 in 6 seconds. (SEE 37-4 FOR GRAPH) Most nearly, what is the distance traveled by the particle during those 6 seconds? (A) 60 m (B) 70 m (C) 120 m (D) 180 m

A particular roller bearing has a life of 3000 h when carrying an equivalent radial load of 9.5 kN and rotating at 500 rpm. What is most nearly the predicted life if the bearing is loaded to 12 kN at the same rotational speed? (A) 1000 h (B) 1200 h (C) 1300 h (D) 1400 h Mechanical DE

A projectile is fired from a cannon with an initial velocity of 1000 m/s and at an angle of 30 degrees from the horizontal. Approximately what distance from the cannon will the projectile strike the ground if the point of impact is 1500 m below the point of release? (A) 8200 m (B) 67000 m (C) 78000 m (D) 91000 m Dynamics DE

A regular polygon has six sides, each with a length of 25cm. What is most nearly the length of the apothem, r? (A) 10cm (B) 15cm (C) 20cm (D) 22cm (1-18)

A rope passes over a fixed sheave, as shown. The two rope ends are parallel. A fixed load one end of the rope is supported by a constant force on the other end. The coefficient of friction between the rope and the sheave is 0.30. (SEE 24-3 for image) What is most nearly the maximum ratio of tensile forces in the two rope end? (A) 1.1 (B) 1.2 (C) 1.6 (D) 2.6

A simple Rankine cycle operates between 20*C and 100*C and uses water as the working fluid. The turbine has an isentropic efficiency of 100%, and the pump has an isentropic efficiency of 65%. The steam leaving the boiler and the water leaving the condenser are both saturated. The properties of steam at the two temperatures are as follows. For a saturation temperature of 20*C Pressure: 2.339 kPa Specific Volume: -Fluid: 0.001002 m^3/s -Gas: 57.79 m^3/kg Enthaply: -Fluid: 83.95 kJ/kg -Fluid-to-Gas: 2454.1 kJ/kg -Gas: 2538.1 kJ/kg Entropy: -Fluid: 0.2966 kJ/kg*K -Gas: 8.6672 kJ/kg*K For a saturation temperature of 100*C Pressure: 101.35 kPa Specific Volume: -Fluid: 0.001044 m^3/s -Gas: 1.6729 m^3/kg Enthaply: -Fluid: 419.04 kJ/kg -Fluid-to-Gas: 2257.0 kJ/kg -Gas: 2676.1 kJ/kg Entropy: -Fluid: 1.3069 kJ/kg*K -Gas: 7.3549 kJ/kg*K The energy removed from each kilogram of steam in the condenser is most nearly (A) 84 kJ/kg (B) 420 kJ/kg (C) 1500 kJ/kg (D) 2100 kJ/kg

A spreadsheet has been developed to calculate the cycle time for an assembly line required to meet a given production demand. Cells Al through A5 contain the task times, cell B1 contains the number of stations, and cell B2 contains the cycle time. The equation for balance delay is ((no. of stations)(cycle time) - sum of task times) / ((no. of stations)(cycle time)) If cell C1 is to contain the balance delay for the solution, what formula should be put into it? (A) (B) (C) (D) See Computational Tools DE

A spring has 6 active coils, and the ends are squared and ground. What is the total number of coils? (A) 4 (B) 6 (C) 7 (D) 8 43-3

A stainless steel tube (3cm inside diameter and 5 cm outside diameter) is covered with 4 cm thick insulation. The thermal conductivities of stainless steel and the insulation are 20 W/mK and 0.06 W/mK, respectively. (SEE HT Diagnostic Exam for Diagram) If the inside wall temperature of the tube is 500K and the outside temperature of the insulation is 50K, what most nearly the heat loss per meter tube of length? (A) 120 W/m (B) 140 W/m (C) 160 W/m (D) 180 W/m

A thin-walled pressure vessel is constructed by rolling a 6 mm thick steel sheet into a cylindrical shape, welding the seam along the line A-B, and capping the ends. The vessel is subjected to an internal pressure of 1.25 MPa. (SEE Mechanics DE) What is most nearly the maximum principal stress in the vessel? (A) 23 MPa (B) 29 MPa (C) 41 MPa (D) 47 MPa

A turbine produces 3 MW of power by expanding 500*C steam at 1 MPa to a saturated 30 kPa vapor. What is most nearly the isentropic efficiency of the turbine? (A) 96.5% (B) 98.2% (C) 99.1% (D) 99.7%

A two-pole AC motor operates on a three-phase, 60 Hz, line-to-line supply with an rms voltage of 240 V. What is most nearly its synchronous speed? (A) 1000 rpm (B) 1800 rpm (C) 2400 rpm (D) 3600 rpm 36-2

A unit impulse function at t = 0 is the input signal for the transfer function shown. input -> (7/(s^2 + 4s + 3) -> Output What is the output signal as a function of time? (A) (7/2)(e^t + e^-3t)u(t) (B) (7/2)(e^-t + e^-3t)u(t) (C) (7/2)(e^-3t - e^-t)u(t) (D) (7/2)(e^-t - e^-3t)u(t) instrumentation DE

A vector originates at point (2, 3, 11) and terminates at point (10, 15, 20). What is the magnitude of the vector? (A) 12 (B) 14 (C) 15 (D) 17

A wheel with a radius of 0.8 m rolls along a flat surface at 3 m/s. If arc AB on the wheel's perimeter measures 90 degrees, what is most nearly the velocity of point A when point B contacts the ground? (A) 3.0 m/s (B) 3.4 m/s (C) 3.8 m/s (D) 4.2 m/s Dynamics DE

Air is compressed isentropically in a piston-cylinder arrangement to 1/10 of its initial volume. The initial tempearture is 35*C, and the ratio of specific heats is 1.4. What is most nearly the final temperature? (A) 350K (B) 360K (C) 620K (D) 770K

An air-water vapor mixture is stored in a fixed-volume container at a temperature of 45*C. The total atmospheric pressure of the mixture is 1.13 atm, and the relative humidity of the mixture is 0.22. The partial pressure of the water vapor is 2.110 kPa. What is most nearly the partial pressure of the dry air in the mixture? (A) 103 kPa (B) 105 kPa (C) 108 kPa (D) 110 kPa

An electric motor is tested in a brake that uses a Kevlar belt to apply frictional resistance to a 22 cm radius hub. The tight side tension is measured by a spring scale A as 30 N. The slack side tension is measured by spring scale B as 10 N. The motor turns at 1725 rpm. Most nearly, what is the motor horsepower? (A) 0.17 hp (B) 0.50 hp (C) 0.80 hp (D) 1.1 hp

An engineer spends all of his free time (outside of work) gambling illegally. Is this a violation of ethical standards? (A) No, the engineer is entitled to a life outside of work. (B) No, the engineer's employer, his clients, and the public are not affected. (C) No, not as long as the engineer stays debt-free from the gambling activities. (D) Yes, the engineer should associate only with reputable persons and organizations. Ethics DE

An identification code begins with three letters. The possible letters are A, B, C, D, and E. If none of the letters are used more than once, how many different ways can the letters be arranged to make a code? (A) 10 (B) 20 (C) 40 (D) 60

An incompressible fluid flow through a pipe with an inner diameter of 10 cm at a velocity of 4 m/s. The pipe contracts to an inner diameter of 8 cm. What is most nearly the velocity of the fluid in the narrower section? (A) 4.7 m/s (B) 5.0 m/s (C) 5.8 m/s (D) 6.3 m/s

An industrial complex is fed by a 13kV (rms) transmission line. The average current delivered during a month us measured as 140 A. The real power consumed within the industrial complex is 1.7 MW. What power factor should be used in determining the month's electrical services invoice? (A) 0.72 (B) 0.81 (C) 0.86 (D) 0.93 35-7

An insulated reservoir has three inputs and one output. The first input is saturated water at 80*C with a mass flow rate of 1 kg/s. The second input is saturated water at 30*C with a mass flow rate of 2 kg/s. The output is water with a mass flow rate of 4 kg/s and a temperature of 60*C. The water level of the reservoir remains constant. Velocity and elevation changes are insignificant. What is most nearly the temperature of the third input? (A) 60*C (B) 70*C (C) 80*C (D) 100*C

An investment of $20,000 earns an effective annual interest of 10%. The value of the investment in five years, adjusted for an annual inflation rate of 6%, is most nearly (A) $27,000 (B) $32,000 (C) $42,000 (D) $43,000 50-11

An ore processing plant with both electrical equipment and coal-fired steam generators has an overall lagging current. In order to reduce electrical costs, what is the beat option for the plant to install? (A) induction motors in parallel with the existing loads (B) induction motors in series with the existing loads (C) resistive heaters steam generators in place of the coal-fire steam generators (D) synchronous motors (without anything attached to the output shafts) in parallel with the existing loads 35-7

An urn contains 13 marbles total: 4 black marbles, 2 red marbles, and 7 yellow marbles. Arrangements of 13 marbles are made. Most nearly, how many unique ways can the 13 marbles be ordered? (A) 800 (B) 1200 (C) 14,000 (D) 26,000

At 100*C, the heat of vaporization of water is 40.7 kJ/mol. What is the vapor pressure at 110*C? (A) 0.71 atm (B) 0.80 atm (C) 0.88 atm (D) 1.4 atm

Atmospheric air has a humidity ratio of 0.008 kg/kg and a dry bulb temperature of 30*C. What is most nearly the enthalpy of the air? (A) 15 kJ/kg (B) 22 kJ/kg (C) 30 kJ/kg (D) 50 kJ/kg

Based on standard processing and hierarchy of operations, what would most nearly be the result of the following calculation? 459 + 306 / (6*5^2 +3) (A) 3 (B) 5 (C) 459 (D) 461 49-5

Based on the following program segment, which IF, ANSWER statement is true? I = 1 J = 2 K = 3 L = 4 ANSWER = C IF(I > J) OR (K < L) THEN ANSWER = A IF (I < J) OR (K > L) THEN ANSWER = B IF (I > J) OR (K > L) THEN I = 5 IF (I < L) AND (K < L) THEN ANSWER = D (A) A (B) B (C) C (D) D Computational Tools DE

Complete the sentence: "Guidelines of ethical behavior among engineers are needed because (A) engineer are analytical and they don't always think in terms of right or wrong (B) all people, including engineers, are inherently unethical (C) rules of ethics are easily forgotten (D) it is easy for engineers to take advantage of clients 52-2

Determine the curl of the vector function V(x, y, z). V(x, y, z) = 3x^2i +7e^xyj (A) 7(e^x)y (B) 7(e^x)yi (C) 7(e^x)yj (D) 7(e^x)yk

During the day, an engineer works for a scientific research laboratory doing government research. During the night, the engineer uses some of the lab's equipment to perform testing services for other consulting engineers. Why is this action probably unethical? (A) The laboratory has not given its permission for the equipment use. (B) The government contract prohibits misuse and misappropriation of the equipment (C) The equipment may wear out or be broken by the engineer and the replacement cost will be borne by the government contract. (D) The engineer's fee to consulting engineers can undercut local testing services' fees because the engineer has a lower overhead. Ethics DE

Eight grains are observed in a 0.0645 mm^2 area of a polished surface. What is most nearly the number of grains in an area of 710 mm^2? (A) 16 grains (B) 120 grains (C) 1100 grains (D) 88000 27-23

Ethics required you take into consideration the effects of your behavior on which group(s) of people? I. your employer II. the nonprofessionals in society III. other professionals (A) II only (B) I and II (C) II and III (D) I, II, and III Ethics DE

For the beam and loading shown, which of the option best represents the shape of the shear diagram? (SEE Mechanics DE) (A) (B) (C) (D)

For the curve y = x^3, what are the approximate coordinates of the centroid of the shaded area between x = 0 and x = 3 cm? (A) 1.6 cm; 7.8 cm (B) 1.8 cm; 5.8 cm (C) 2.0 cm; 18 cm (D) 2.4 cm; 7.7 cm

For the following set of equations, what is the determinant of the coefficient matrix? 10x+3y+10z =5 8x - 2y + 9z = 5 8x + y -10z = 5 (A) 598 (B) 620 (C) 714 (D) 806

For the reciprocating pump shown, the radius of the crank is 0.3 m, and the rotational speed is 350 rpm. Two seconds after the pump is activated, the angular position of point A is 35 rad. (SEE 37-8 FOR IMAGE) What is most nearly the tangential velocity of point A two seconds after the reciprocating pump is activated? (A) 0 m/s (B) 1.1 m/s (C) 10 m/s (D) 11 m/s

Given Log 5 = 0.6990 and Log 9 = 0.9542, what is the value of log base 5 of 9? (Assume Log = Log base 10) (A) 0.2550 (B) 0.7330 (C) 1.127 (D) 1.365

Glass is said to be an amorphous material. This means that it: (A) has a high melting point (B) is a supercooled vapor (C) has large cubic crystals (D) has no apparent crystal structure (FE Sample Problem)

How many cells are in the range C5:Z30? (A) 575 (B) 598 (C) 600 (D) 624 Computational Tools DE

How many instantaneous centers does the linkage shown have? (SEE 39-7 FOR IMAGE) (A) 3 (B) 4 (C) 5 (D) 6

How many phases can exist in equilibrium for a fixed proportion water-alcohol mixture held at constant pressure? (A) 0 (B) 1 (C) 2 (D) 3

If j = SQRT (-1), which of the following is equal to J^J? (A) J^2 (B) e^2j (C) -1 (D) e^(-pi/2)

In a stoichiometric octane (C8H18) combustion reaction, what is most nearly the air-fuel ratio? (A) 12.0 (B) 12.5 (C) 14.7 (D) 15.1

In the circuit shown, Vo = 0.0500 V R1 = R2 = R3 = R = 10.00 kOhms R4 = 10.25 kOhms (SEE 47-6 FOR CIRCUIT DIAGRAM) The voltage Vin is most nearly (A) 2 V (B) 4 V (C) 5 V (D) 8 V

Liquid nitrogen at 77K is stored in an uninsulated 1.0 diameter spherical tank. The tank is exposed to ambient air at 285K. The thermal resistance of the tank material is negligible. The convective heat transfer coefficient of the tank exterior is 30 W/m^2K. The initial heat transfer from the air to the tank is most nearly (A) 4.9 kW (B) 9.8 kW (C) 16 kW (D) 20 kW

Most nearly, what are reactions F1 and F2 for the truss shown? (SEE 23-2 for image) (A) F1 = 1000 N; F2 = 4000 N (B) F1 = 1300 N; F2 = 3800 N (C) F1 = 2500 N; F2 = 2500 N (D) F1 = 3800 N; F2 = 1300 N

Most nearly, what is the sample variance of the following data set? 2, 4, 6, 8, 10, 12, 14 (A) 4.3 (B) 5.2 (C) 8.0 (D) 19

Newton's method is being used to find the roots of the equation f(x) = (x-2)^2 - 1. What is the third approximation of the root if x = 9.33 is chosen as the first approximation? (A) 1.0 (B) 2.0 (C) 3.0 (D) 4.0

Oil flows through a 0.12 m diameter pipe at a velocity of 1 m/s. The density and the dynamic viscosity of the oil are 870 kg/m^3, respectively. If the pipe length is 100 m, the head loss die to friction is most nearly (A) 1.2 m (B) 1.5 m (C) 1.8 m (D) 2.1 m

On January 1, $5000 is deposited into a high-interest savings account that pays 8% interest compounded annually. If all of the money is withdrawn in five equal end-of-year sums beginning December 31 of the first year, most nearly how much will each withdrawal be? (A) $1010 (B) $1150 (C) $1210 (D) $1250 Engineering Economics DE

One method of removing moisture from air is to cool the air so that the moisture condense out. What is most nearly the temperature to which air at 100 atm must be cooled at constant pressure in order to obtain a humidity ratio of 0.0001? (A) -6.0*C (B) 2.0*C (C) 8.0*C (D) 14*C

Plan stamping is best defined as (A) legal action of signing off on a project you didn't design but are taking full responsibility for (B) legal action of signing off on a project you didn't design or check but didn't accept money for (C) illegal action of signing off on a project you didn't design but did check (D) illegal action of signing off on a project you didn't design or check 52-4

Samples of aluminum-alloy channels were tested for stiffness. The following distribution of results was obtained Stiffness Frequency 2480 23 2440 35 2400 40 2360 33 2320 21 If the mean of the samples is 2402, what is the approximate standard deviation of the population from which the samples were taken? (A) 48.2 (B) 49.7 (C) 50.6 (D) 50.8

Steam enters an adiabatic nozzle at 1 MPa, 250*C, and 30 m/s. At one point in the nozzle, the enthalpy drops 40 kJ/kg from its inlet value. What is most nearly the velocity at that point? (A) 31 m/s (B) 110 m/s (C) 250 m/s (D) 280 m/s

The Fourier transformation of an impluse a^2(delta(t)) of magnitude a^2 is equal to? (A) SQRT(A) (B) a -1 (C) a (D) a^2

The absolute temperature in a rigid, insulated tank is initially zero. The tank volume is 0.040 m^3. The tank and steam inlet are at the same elevation. A valve is opened allowing 250*C and 600 kPa steam with negligible velocity to slowly fill the tank. Most nearly, what is the temperature of the steam in the tank after the tank is full? (A) 250*C (B) 300*C (C) 350*C (D) 400*C

The capacitor is initially uncharged in the circuit shown. (See Electrical DE) What will be the approximate current 3 ms after the switch is closed? (A) 0.34 A (B) 0.67 A (C) 0.82 A (D) 0.90 A

The epicyclic gear set shown has an overall speed reduction of 3:1. The planet carrier is the output gear. The input gear is the sun gear, which turns clockwise at 1000 rpm. The planet gear has 20 teeth and a diametrical pitch of 10. (SEE 43-12 FOR IMAGE) What is the ratio of the number of teeth on the ring gear to the number of teeth on the sun gear? (A) 1/3 (B) 1/2 (C) 1 (D) 2

The exterior walls of a house are 3 m high, 0.14 m thick, and 40 m in length. The thermal conductivity of the walls is 0.038 W/mC. The interior of the walls is maintained at 20C when the exterior (outdoor) wall temperature is 0C. Neglecting corner effects, most nearly, what is the heat transfer through the walls? (A) 0.023 kW (B) 0.065 kW (C) 0.23 kW (D) 0.65 kW

The frequency of the current source in the parallel circuit is adjusted until the current is purely resistive (i.e. until the power factor = 1). (SEE 35-8 FOR CIRCUIT DIAGRAM) The power dissipated at the adjusted frequency is most nearly (A) 0 W (B) 10 W (C) 20 W (D) 40 W

The initial voltage across the capacitor in the circuit shown is 2.5 V. The switch is closed at t = 0. (See Electrical DE) What is most nearly the current immediately after the switch is closed? (A) 0.2 A (B) 0.7 A (C) 1 A (D) 3 A

The initial voltage across the capacitor is 5 V. At t = 0, the switch is closed. (SEE 34-10 FOR CIRCUIT DIAGRAM) What is most nearly the voltage across the capacitor 10 microseconds after the switch is closed? (A) 1.0 V (B) 5.1 V (C) 5.4 V (D) 8.2 V

The mean velocity of 40 *C water in a 44.7 mm (inside diameter) tube is 1.5 m/s. The kinematic viscosity is 6.58 x 10^-7 m^2/s. What is most nearly the Reynolds number? (A) 8.1 x 10^3 (B) 8.5 x 10^3 (C) 9.1 x 10^4 (D) 1.0 x 10^5

The nuts on a collar are each tightened to 18 Nm torque. 17% of this torque is used to overcome screw thread friction. The bolts have a nominal diameter of 10 mm. The threads are a simple square cut with a pitch angle of 15*. The coefficient in the threads is 0.10. (SEE 24-4 FOR IMAGE) What is the approximate tensile force in each bolt? (A) 130 N (B) 200 N (C) 410 N (D) 1600 N

The pitot tube shown below is placed at a point where the velocity is 2.0 m/s. The specific gravity of the fluid is 2.0, and the upper portion of the manometer contains air. The reading h (m) on the manometer is most nearly: A. 20.0 B. 10.0 C. 0.40 D. 0.20 (FE Sample Problem)

The plane element shown is acted upon by combined stresses. The material has a modulus of elasticity of 200 GPa and a Poisson's ratio of 0.27. (SEE 29-7) What is approximately strain in the y-direction? (A) -4.9 x 10^-3 (B) 0.58 x 10^-3 (C) 0.99 x 10^-3 (D) 3.3 x 10^-3

The potential of a calomel (Hg2Cl2) buffering electrode is 0.241 V. At 25 C, the electrode potential of a silver AgCL/calomel combined electrode is given by 0.558 + 0.059log[Ag+] [volts] Most nearly, what is the standard electrode potential for the silver reaction Ag -> Ag^+ + e^-? (A) 0.18 V (B) 0.30 V (C) 0.35 V (D) 0.80 V 47-3

The pressure gauge in an air cylinder reads 850 kPa. The cylinder is constructed of 6 mm rolled plate steel with an internal radius of 0.175 m. What is most nearly the tangential stress in the tank? (A) 2.1 MPa (B) 12 MPa (C) 17 MPa (D) 25 MPa 30-3

The rectangular coordinates of a complex number are (4, 6). What are the complex number's approximate polar coordinates? (A) (4.0, 33*) (B) (4.0, 56*) (C) (7.2, 33*) (D) (7.2, 56*)

The stoichmetric air requirement for complete combustion of a unit of fuel is 75.2 mol, and the actual air provided is 95.4 mol. What is most nearly the percent excess air? (A) 4.5% (B) 6.0% (C) 21% (D) 27%

To whom/what is a registered engineer's foremost responsibility? (A) client (B) employer (C) state and federal laws (D) public welfare 52-5

Two gears are in mesh. Gear 1 has 20 teeth and a radius of 4.6 cm. Gear 2 has 30 teeth and a radius of 7.2 cm. What is most nearly the diametral pitch of these two gears? (A) 110 m^-1 (B) 140 m^-1 (C) 180 m^-1 (D) 210 m^-1

Two planes radiating surfaces separated by a vacuum face each other. Each radiating surface has an emissivity of 0.02. The areas of the two surfaces are large and equal. One surface is at 400K, and the other is at 300K. The view factor, F12, for the 400K surface is 1.0. Most nearly, what is the net heat transfer per unit area from the 400K surface? (A) 4 W/m^2 (B) 6 W/m^2 (C) 8 W/m^2 (D) 10 W/m^2

Two students are working independently on a problem. Their respective probabilities of solving the problem are 1/3 and 1/4. What is the probability that at least one of them will solve the problem? (A) 1/2 (B) 5/8 (C) 2/3 (D) 5/6

Using Cramer's rule, what values of x, y, and z will satisfy the following system of simultaneous equations? 2x + 3y - 4z = 1 3x -y -2x = 4 4x - 7y -6z = -7 (A) x = 1, y = -4, z = -1 (B) x = 1, y = 3, z = 1 (C) x = 3, y = -2, z = 4 (D) x = 3, y = 1, z = 2

Water at 10*C is pumped through smooth steel pipes from tank 1 to tank 2 as shown. The discharges rate at 0.1 m^3/min. The pump efficiency is 80%. If the pump adds a total of 15 m of head, the pump motor's brake is most nearly (A) 19 W (B) 32 W (C) 250 W (D) 310

Water at 25*C flows at 3.6 m/s in a pipe with an internal diameter of 0.10 m. The water has a density of 1000 kg/m^3 and an absolute viscosity of 850 x 10^-6 kg/s*m. What is most nearly the Reynolds number? (A) 35000 (B) 87000 (C) 260000 (D) 420000

Water flows at 1.2 m/s^2 through a horizontal pipe with an inner diameter of 8 cm. The absolute viscosity of the water is 0.001002 Pa*s. What is most nearly the pressure drop after 60 m of pipe? (A) 97 Pa (B) 190 Pa (C) 300 Pa (D) 360 Pa

Water under an 18 m head discharges freely into the atmosphere through a 25 mm diameter orifice. The orifice is round-edged and has a coefficient of discharge of 0.98. The velocity of the water as it passes through the orifice is most nearly (A) 1.2 m/s (B) 3.2 m/s (C) 8.2 m/s (D) 18 m/s

What actions can be taken by a state regulating agency against a design professional who violates one or more of its rules of conduct? I. the professional's license may be revoked or suspended II. notice of the violation may be published in the local newspaper III. the professional may be asked to make restitution IV. the professional may be required to complete a course of ethics (A) I and II (B) I and III (C) I and IV (D) I, II, III, and IV Ethics DE

What are most nearly the angular velocities of link 3, w3, and link 4, w4, of the four-bar mechanism shown? (SEE 43-18 FOR IMAGE) (A) w3 = 0.78 rad/s, and w4 = -0.79 rad/s (B) w3 = 0.78 rad/s, and w4 = -0.39 rad/s (C) w3 = 1.4 rad/s, and w4 = -0.79 rad/s (D) w3 = 1.4 rad/s, and w4 = -0.39 rad/s

What are the approximate x- and y-coordinates of the centroid of the area shown? (SEE 25-2 FOR IMAGE) (A) 3.4 cm; 5.6 cm (B) 3.5 cm; 5.5 cm (C) 3.9 cm; 4.4 cm (D) 3.9 cm; 4.8 cm

What are the roots of the quadratic equation -7x + x^2 = -10? (A) -5 and 2 (B) -2 and 0.4 (C) 0.4 and 2 (D) 2 and 5

What is most nearly the effective value of the repeating waveform shown? (SEE 35-4 FOR GRAPH) (A) 2.5 (B) 2.8 (C) 3.0 (D) 3.2

What is most nearly the electric field strength between two plates separated by 0.005 m that are connected across 100 V? (A) 0.5 kV/m (B) 2 kV/m (C) 5 kV/m (D) 20 kV/m 33-5

What is most nearly the interior angle, theta, of a regular polygon with seven sides? (A) 51* (B) 64* (C) 120* (D) 130*

What is most nearly the magnitude of the moment about the x-axis produced by the force of F = 10i - 20j + 40k N acting at the point (2, 1, 1) with coordinates in meters? (Components of a Moment) (A) 30 Nm (B) 40 Nm (C) 50 Nm (D) 60 Nm 22-4

What is most nearly the magnitude of the moment about the x-axis produced by the force of F = 10i - 20j + 40k N acting at the point (2, 1, 1) with coordinates in meters? (Moment Vector) (A) 30 Nm (B) 40 Nm (C) 50 Nm (D) 60 Nm 22-3

What is most nearly the melting temperature of sodium chloride, given that the latent heat of fusion is 30 kJ/mol, and the associated entropy change is 28 J/mol*K? (A) 370K (B) 880K (C) 930K (D) 1100K

What is most nearly the moment of inertia about the y-axis of the area bounded by y = 0, f(x) = x^3 + 7x^2 -5x + 6, x = 0, x =20? (A) 6.3 x 10^5 (B) 8.2 x 10^6 (C) 9.9 x 10^6 (D) 1.5 x 10^7

What is most nearly the shear modulus for a material with a modulus of elasticity of 25.55 GPa and Poisson's ratio of 0.25? (A) 10.07 GPa (B) 10.09 GPa (C) 10.11 GPa (D) 10.22 GPa 29-4

What is the approximate radius of curvature of the function f(x) at the point (x, y) = (8, 16)? f(x) = x^2 + 6x -96 (A) 1.9 x 10^(-4) (B) 9.8 (C) 96 (D) 5300

What is the approximate total area bounded by y = sin(x) over the interval o <= x <= 2pi? (x is in radians) (A) 0 (B) pi/2 (C) 2 (D) 4

What is the cube root of the complex number 8e^(j60*)? (A) 2(cos(60*) + jsin(60*)) (B) 2(jcos(20*) + sin(20*)) (C) 2.7(cos(20*) + jsin(20*)) (D) 2(cos(20* + 120*n) + jsin(20* + 120*n))

What is the distance between point P at (1,-3,5) and point Q at (-3, 4, -2)? (A) SQRT(10) (B) SQRT(14) (C) 8 (D) SQRT(114)

What is the divergence of the following vector field? V = 2xi + 2yj (A) 0 (B) 2 (C) 3 (D) 4

What is the dot product A dot B of unit vectors A = 3i and B = 2i? (A) -6 (B) -5 (C) 5 (D) 6

What is the dot product, A dot B, of the vectors A = 2i + 4j + 8k and B = -2i + j -4k? (A) -4i + 4j - 32k (B) -4i -4j -32k (C) -40 (D) -32

What is the equation of the ellipse with center at (0, 0), with vertical major axis, and that passes through the points (2, 0), (0, 3), and (-2, 0)? (A) (x^2/9) - (y^2/4) = 1 (B) (x^2/4) - (y^2/9) = 1 (C) (x^2/9) + (y^2/4) = 1 (D) (x^2/4) + (y^2/9) = 1

What is the ideal efficiency of an air-standard Otto cycle with a compression ratio of 6:1? (A) 17% (B) 19% (C) 49% (D) 51%

What is the matrix product AB of matrices A and B? A = [ 2, 1; 1, 0] B = [ 4, 3; 2, 1] (A) [ 10, 4; 7, 3] (B) [ 11, 4; 5, 2] (C) [8, 3; 2, 0] (D) [10, 7; 4, 3]

What is the maximum value of the function f(x) = -x^2 -8x +1? (A) 1 (B) 4 (C) 8 (D) 17

What is the partial derivative with respect to x of the following function? z = e ^ (xy) (A) e^(xy) (B) (e^(xy))/x (C) (e^(xy))/y (D) ye^(xy)

What is the purpose of a transducer? (A) signal detection (B) amplification (C) voltage reduction (D) conversion of one physical quantity into another (Instrumentation DE)

What is the slope of the curve y = 10x^2 -3x -1 when it crosses the positive part of the x-axis? (A) 3/20 (B) 1/5 (C) 1/3 (D) 7

What is the slope of the line define by y-x=5? (A) -1 (B) -1/5 (C) 1/4 (D) 1

What is the sum of the following finite sequence of terms? 18, 25, 32, 39, ..., 67 (A) 181 (B) 213 (C) 234 (D) 340

What is the sum of the following geometric sequence? 32, 80, 200, ..., 19531.25 (A) 21,131.25 (B) 24,718.25 (C) 31,250.00 (D) 32,530.75

What is the transpose of matrix A? A = [5, 8, 5, 8; 8, 7, 6, 2] (A) [8, 7, 6, 2; 5, 8, 5, 8] (B) [2, 6, 7, 8; 8, 5, 8, 5] (C) [8, 5; 7, 8; 6, 5; 2, 8] (D) [5, 8; 8, 7; 5, 6; 8, 2]

What kind of conic section is described by the following equation? 4x^2 - y^2 +8x +4y = 15 (A) circle (B) ellipse (C) parabola (D) hyperbola

What operation is typically represented by the following program flowchart symbol? (See Computational Tools) (A) input-output (B) processing (C) storage (D) branching

What power protection device senses abnormal current and voltage levels generated during fault conditions and transmits control signals to relays that disconnect the offending circuit or portion of the circuit? (A) fuse (B) GFCI (C) thermal disconnect (D) transducer (Instrumentation DE)

When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 880 tons/day and a standard deviation of 21 tons/day. During an analysis period, the output is measured with random sampling on 50 consecutive days, and the mean output is found to be 871 tons/day. With a 95% confidence level, determine if the plant is operating properly. (A) There is at least a 5% probability that the plant is operating properly. (B) There is at least a 95% probability that the plant is operating properly. (C) There is at least a 5% probability that the plant is not operating properly. (D) There is at least a 95% probability that the plant is not operating properly.

Which feature is NOT a standard feature of a written construction contract? (A) Identification of Both Parties (B) Specific details of the obligations of both parties (C) Boilerplate clauses (D) subcontracts 51-1

Which of the following is equal to (0.001)^2/3? (A) antilog((3/2) log 0.001) (B) (2/3)antilog(log 0.001) (C) antilog(log(0.001/(2/3)) (D) antilog((2/3) log 0.001)

Which of the following is not a linear differential equation? (A) 5d^2y/dt^2 - 8dy/dt + 16y = 4te^-7t (B) 5d^2y/dt^2 - 8t^2 dy/dt + 16y = 0 (C) 5d^2y/dt^2 - 8dy/dt + 16y = dy/dy (D) 5(dy/dt)^2 - 8dy/dt + 16y = 0

Which of the following terms is NOT related to ethics? (A) integrity (B) honesty (C) morality (D) profitability Ethics DE

Which organizations typically do NOT enforce codes of ethics for engineers? (A) technical societies (e.g., ASCE, ASME, IEEE) (B) national professional societies (e.g., the National Society of Professional Engineers) (C) state professional societies (e.g., the Michigan Society of Professional Engineers) (D) companies that write, administer, and grade licensing exams 52-3

Which statement is most accurate regarding the two materials represented in the stress-strain diagrams? (SEE Material Prop Diagnostic Exam) (A) Material B is more ductile and has a lower modulus of elasticity (B) Material B would require more total energy to fracture than material A (C) Material A will withstand more stress before plastically deforming than material B. (D) Material B will withstand a higher load than material A bust is most likely to fracture suddenly.

Which statement is true? (A) Low-alloy steels are a minor group and are rarely used. (B) Three are three basic types of stainless steels: martensitic, austenitic, and ferritic. (C) The addition of small amounts of silicon to steel can cause a marked decrease in the yield strength of steel. (D) The addition of smalls amounts of molybdenum to low-alloy steels makes it possible to harden and strengthen thick pieces of the metal by heat treatment. (SEE Material Prop Diagnostic Exam)

You are an engineer in charge of receiving bids for an upcoming project. One of the contractors bidding the job is your former employer. The former employer laid you off in a move to cut costs. Which of the following should you do? I. say nothing II. inform your present employer of the situation III. remain objective when reviewing bids 52-6

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