Please Answer the Following Questions:

1. Pilots can be tested for the stresses of flying high-speed jets in a whirling "human centrifuge," which takes 1.0 min to turn through 20 complete revolutions before reaching is final speed. (a) What was its angular acceleration (assumed constant), and (b) what was its final angular speed in rpm?

2. A cooling fan is turned off when it is running at 850 rev/min. It turns 1350 revolutions before it comes to a stop. (a) What was the fan's angular acceleration, assumed constant? (b) How long did it take the fan to come to 3 complete stop?

3. A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 7.2 rad/?, and it is in contact with the pottery wheel (radius 21.0 cm) without slipping. Calculate (a) the angular acceleration of the pottery wheel, and

(b) the time it takes the pottery wheel to reach its required speed of 65 rpm.