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

Question

Quizplus · Accepted Answer

The wheel makes 10 revolutions during the acceleration phase, 300 revolutions during the constant speed phase, and 20 revolutions during the deceleration phase, for a total of 330 revolutions.

A Machinist Turns on the Power on to a Grinding 58rad/s58 \mathrm { rad } / \mathrm { s }58rad/s

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