Question

A 1.0-m roulette wheel reaches a maximum angular speed of 18 rad/s before it begins decelerating. after reaching this maximum angular speed, it turns through 35 revolutions (220 rad) before it stops. how long did it take the wheel to stop after reaching its maximum angular speed?

Answer 1

Angular distance moved = 220 rad = {35(2π) ≈ 220 rad}
Max angular speed = 18 rad/s
Final angular speed = 0 rad/s
Avg angular speed = 9 rad/s {assuming a CONSTANT de-celeration of wheel}
Time to stop = 220/9 = 24.4 s ANS