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

Explanation:The wheel makes 93 revolutions during the acceleration period, 471 revolutions during the constant-speed period, and 16 revolutions during the deceleration period, for a total of 580 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 $58 \mathrm { rad } / \mathrm { s }$