1. Through how many degrees does a 33 rpm turntable rotate in 0.32 s?

A) 63

B) 35

C) 46

D) 74

2. A wheel of diameter 0.70 m rolls on the floor without slipping. A point at the top of the wheel moves with a speed 2.0 m/s relative to the floor.

(a) At what speed is the central axis of the wheel moving relative to the floor?

(b) What is the angular speed of the wheel?

3. A string is wound tightly around a fixed pulley having a radius of 5.0 cm. As the string is pulled, the pulley rotates without any slipping of the string. What is the angular speed of the pulley when the string is moving at 5.0 m/s?

A) 100 rad/s

B) 50 rad/s

C) 25 rad/s

D) 20 rad/s

E) 10 rad/s

4. A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of 115 m. What is the magnitude of its angular acceleration if there was no slipping?

A) 1.8 rad/s2

B) 0.90 rad/s2

C) 5.7 rad/s2

D) 11 rad/s2

5. A wheel accelerates with a constant angular acceleration of 4.5 rad/s2 from an initial angular speed of 1.0 rad/s. (a) Through what angle does the wheel turn in the first 2.0 s, and (b) what is its angular speed at that time?

6. A wheel starts from rest and has a uniform angular acceleration of 4.0 rad/s2.After the wheel completes its first revolution, how long does it take for it to make its second complete revolution?

Please provide a step by step explanation. Thank you!