A Machinist Turns on the Power on to a Grinding $58 \mathrm { rad } / \mathrm { s }$

Multiple Choice

A machinist turns on the power on to a grinding wheel at time t = 0 s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of $58 \mathrm { rad } / \mathrm { s }$ The wheel is run at that angular velocity for 30 s, and then power is shut off. The wheel slows down uniformly at $1.4 \mathrm { rad } / \mathrm { s } ^ { 2 }$ until the wheel stops. What is the total number of revolutions made by the wheel in this situation?

A) 510
B) 280
C) 320
D) 470
E) 750