uniform circular motion

Calculate the speed with which the moon orbits the earth given the distance from earth to moon as R = 3.84 · 108 m.(Astronomers note that the true orbital period of the moon, is 27.3 Earth days. Interestingly, this would mean that there are approximately 13 months in a year. Use the 27.3 days/month for T - the time required for one revolution in your calculation.)

1.02 * 10^3

If a 1.50 kg mass revolves at the end of a string 0.50 m long, and its tangential speed is 6.0 m/s, calculate the centripetal force.

110 N (would be 108 but you're using 2 significant figures)

Calculate the period (T) of uniform circular motion if the velocity is 40.0 m/s and centripetal acceleration is 20.0 m/s2.

12.6

Find the centripetal force needed by a 1275 kg car to make a turn of radius 40.0 m at a speed of 25.0 km/h.

1540

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the magnitude of the velocity around the circle. (Note: Remember, 10 revolutions is a counting number and not a measurement.)

16 m/s2

A girl sits on a tire swing and is pushed in a circular motion by her father. Her tangential speed is 2.8 m/s and the girl travels in a circle with a diameter of 4.0 m. What is the girl's centripetal acceleration?

3.9

An object moves in uniform circular motion at 25m/s and takes 1.0 second to go a quarter circle, calculate the centripetal acceleration.

39

An object of mass 0.5 kg is swung in uniform circular motion. The radius is 2 meters, and the force exerted is 4 N. Calculate the magnitude of the velocity.

4 m/s

A 50.0 kg child takes a ride on a Ferris wheel that rotates with a tangential speed of 1.2 m/s. Find the centripetal force that maintains the circular motion of the child if the distance from the center of the Ferris wheel is 16.0 m.

4.5 N

Newton's Second Law

F=ma

Acceleration directed toward the center of a circular path that produces uniform circular motion is

centripetal acceleration

A center-pointing force is

centripetal force

centripetal acceleration

force that produces uniform circular motion

In any problems involving circular motion, which way does the tangential speed vector point?

in a direction tangential to the circumference of the circle

In any problems involving circular motion, which way does the acceleration vector point?

in a direction towards the center of the circle of motion

tangential speed

instantaneous linear speed of an object in circular motion

rotational speed

revolutions per minute (RPM)

centripetal force

center-seeking change in direction of velocity

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acceleration.

a=260 m/s2