EDD 112 Final

Given an inductor, L = 100mH and the inductor current i(t) = e^-3t, find the voltage

-0.3e^-3t

Use Euler's formula to express eπi in the form a + bi. (Note π = 3.14159 radians.) Show your calculations in your engineering notebook.

-1

find the determinant of this matrix: [3 2] [2 -5]

-19

find the dot product of these two vectors: a = 1.3i + 2.5j b = 1.2i - 2.0j

-3.44

find the determinant of this matrix: [1 3 7] [9 3 4] [3 2 4]

-5

find the time shift of this sinusoid: y(t) = 10sin(2πt+π/8)

0.063

Given a capacitor C = 100 mF and the capacitor voltage v(t) = te^-2t, find the capacitor current

0.1e^(-2t)(2t+1)

A biomedical engineer measures the velocity profile of a belted car occupant during a 20 m/s frontal collision and determines that the velocity profile is v(t) = 20cos(62.5πt) The biomedical engineer also measures the velocity profile of a non-belted car occupant during a 20 m/s frontal collision and determines that the velocity profile is v(t) = 20cos(12.5πt) How much more is the displacement of the non-belted occupant than the belted occupant?

0.4074

Express 2e(π/3)i the form a + bi. (Note: π = 3.14159 radians.) Show your calculations in your engineering notebook.

1+1.732i

find the linear frequency of this sinusoid: y(t) = 10sin(2πt+π/8)

1.000

The current flowing in a resistor is given by i(t) = (t-1)²A Knowing that i(t) = dq(t)/dt, where q(t) is charge find an expression for the charge q(t). The initial charge q(0) = 0.

1/3(t-1)^3+1/3

find the cross product of these two vectors: a = 3.3i - 1.5j b = -1.2i + 4.0j

11.4

An airplane is flying at an air speed of 150 mph at a heading of 30 north of east (Vpa), as shown in the figure below. If the velocity of the wind is 10 mph due west (Vag), determine the resultant speed of the plane with respect to the ground.

141.4

Recall from an earlier lecture that the relationship between the current through an inductor and the voltage across it is given by v(t) = L(di/dt) What is the current through a 10 mH inductor if 1 V is applied across it for exactly 20 ms? Assume that initially there is no current through the inductor.

2.0 A

find the peak-to-peak amplitude of this sinusoid: y(t) = 10sin(2πt+π/8)

20

What is the final value of the voltage on the capacitor after the switch is closed?

20V

Which of the following is the best written performance requirement? 1. The 'RoboButler' should operate for 4 hours on a fully charged battery. 2. The 'RoboButler' shall operate for 4 hours on a fully charged battery. 3. The 'RoboButler' shall operate for at least 4 hours on a fully charged battery. 4. The 'RoboButler' shall operate for more than 4 hours on a fully charged battery. 5. The 'RoboButler' shall operate for at least 4 hours on a battery.

3

The position of a particle is described by x(t) = 1/3t^3-5t^2+21t+5. When is the particle at a local maximum position?

3 sec

Express -1 - 3i in the form reiθ. (Assume θ is in degrees.) Show your calculations in your engineering notebook.

3.1623e^251.56i

The position of a particle is described by x(t) = 1/3t^3-5t^2+21t+5. Find the particle's position when it speed is zero.

32 ft and 21.33 ft

What is the magnitude of this vector: R = 2.3i + 4.5j - 1.2k

5.19

Find Vout in this circuit. (Angles in answers shown are in degrees.) Show your calculations in your engineering notebook.

5.3e^57.9i

Express 45 - 25i in the form reiθ. (Assume θ is in degrees.) Show your calculations in your engineering notebook.

51.48e^-29.055i

find the angular frequency of this sinusoid: y(t) = 10sin(2πt+π/8)

6.283

find the angle between these vectors: a = 0.3i + 4.5j b = -3.2i +2.0j

61.8

find the sum of these two sinusoids: y1(t) = 3sin(5t) y2(t) = 4sin(5t)

7sin(5t)

find the cofactor of the matrix C1,3: [1 3 7] [9 3 4] [3 2 4]

9

Use matrix algebra to solve for I1 and I2 in the following circuit. Show your calculations in your engineering notebook.

I1 ≈ 1.6154 I2 ≈ 0.4615

find the inverse of this matrix using the adjoint method: [1 3 7] [9 3 4] [3 2 4]

[-0.8 -0.4 1.8] [4.8 3.4 -11.8] [-1.8 -1.4 4.8]

find the inverse of this matrix: [-1 5 2] [-2 4 0] [0 3 1]

[-2/3 -1/6 4/3] [-1/3 1/6 2/3] [1 -1/2 -1]

add these 2 matrices: [9 -3] + [7 0] [2 -5] [-2 -1]

[16 -3] [0 -6]

multiply these 2 matrices: [7 0] * [ 9 -3] [-2 -1] [2 -5]

[63 -21] [-20 11]

multiply these 2 matrices: [9 -3] * [7 0] [2 -5] [-2 -1]

[69 3] [24 5]

What is any requirement that is made from dividing a higher-level requirement into more than one lower-level requirement?

allocated requirement

What method was used to verify our project requirements?

analysis

What are the four types of requirements?

environmental, interface, functional, performance

What are the four standard acceptable requirements verification methods?

inspection, demonstration, test, analysis

What is the preferred verb for writing requirements?

should

Use MATLAB to find the integral of i(t) = tsin(5t) and select the correct answer below. Assume i(0) = 0.

sin(5t)/25 - tcos(5t)/5

Find the velocity of a vehicle that starts from rest and is subject to the following acceleration: a(t) = 4sin(2t)cos(2t) Hint: Use trigonometric identities.

sin²(2t)

Requirements specify the design that must be accomplished, but not how the design is to be done.

true

What is the confirmation that a component, sub-system, or full system appropriately meets its design function or intended use?

validation

What is the confirmation that a component, sub-system, or full system meets identified requirements?

verification