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A machinist turns the power onto a grinding wheel, at rest, at time t= 0s. The...

A machinist turns the power onto a grinding wheel, at rest, at time t= 0s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 24 rad/s. The wheel is run at that angular velocity for 37 s and then power is shut off. The wheel slows down uniformly at 2.2 rad/s^2 until the wheel stops. In this situation, the total number of revolutions made by the wheel is closest to:
-450
-180
-90
-360
-270
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