Question

1. A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity decreased to 200 rev/min. Assuming the angular acceleration is constant, how many revolutions does the blade undergo during this time?

 

2. A bicycle wheel of radius 0.70m is rolling without slipping on a horizontal surface with an angular speed of 2 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5 s. Through how many revolutions did the wheel turn during the 5 seconds of braking? How far did the bicycle travel during the 5 seconds of braking?