A bicycle wheel of radius 0.70m is rolling without slipping on a horizontal surface with an angular speed of 4Pi rad/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 0.5s.
1. What is the angular deceleration in radians per second squared of the bicycle wheel?
2. What is the tangential deceleration of the bicycle in m/s2
3. What is the initial tangential velocity of the bicycle wheel?
4. What angular displacement did the bicycle wheel rotate during the 5.0 s of braking?
5. How far did the bicycle travel during the 5.0 s of braking?