Question

A machinist turns the power on to a grinding wheel, at rest, at time t = 0 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 58 rad/s. The wheel is run at that angular velocity for 30 s and then power is shut off. The wheel slows down uniformly at 1.4 rad/s2 until the wheel stops. In this situation, the total number of revolutions made by the wheel is closest to:

Answer 1

The wheel accelerates uniformly for 10s and reaches the operating angular velocity of 58 rad/s. The wheel is run at that angular velocity for 21s and then power is shut off. The wheel slows down at 2.4rad/s^2 until it stops.