AP Physics 1 - Rotational Motion

Which of the following is the unit for angular displacement?

• meters

• seconds

• radians

• radians per second

An object moves from point A to point B along a circular path with a radius R. What is the size of the angle θ?

• 1 rad

• 2 rad

• 3 rad

• 4 rad

A solid disk with a radius R rotates at a constant rate ω. Which of the following points has the greater angular displacement?

• A

• B

• C

• All points have the same angular displacement

A solid disk with a radius R rotates at a constant rate ω. Which of the following points has the greater angular velocity?

• A

• B

• E

• All points have the same angular velocity.

A toy car moves around a circular track with a radius of 10 m.  When the car’s velocity is instantaneously directed south, its acceleration is directed west at 10 m/s².  When viewed from above, the car moves:

• clockwise at 1 rad/s

• clockwise at 10 rad/s

• counterclockwise at 1 rad/s

• counterclockwise at 10 rad/s

An object starts from rest and accelerates at a constant rate in a circular path. After a certain time t, the object reaches the angular velocity ω. How many revolutions did it make during time t?

A rod rotates about a pivot at its center at 2 rad/s.  Its angular velocity increases uniformly to 14 rad/s in 3 s.  Find the rod’s angular displacement over this time period.

• 6 rad

• 12 rad

• 18 rad

• 24 rad

A bicycle wheel of radius 40.0 cm and angular velocity of 10.0 rad/s starts accelerating at 80.0 rad/s².  What is the centripetal acceleration of the wheel at this time point?

• 12m/s²

• 24m/s²

• 36m/s²

• 40m/s²

A record on a turntable is spinning and coming to rest.  At t = 0 s, the angular velocity of the record is 20.0 rad/s with a constant acceleration of – 5.00 rad/s².  What is the record’s angular velocity at t = 0.500 s?

• 10.5 rad/s

• 15.5 rad/s

• 16.5 rad/s

• 17.5 rad/s

A car’s tire of radius 0.50 m has an angular velocity of ω = 3t² – 5t + 20.  Find the linear velocity of the tire at  t = 2.0 s.

• 7 m/s

• 11 m/s

• 12 m/s

• 14 m/s