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A Machinist Turns on the Power on to a Grinding 96rad/s.96 \mathrm { rad } / \mathrm { s } .

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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 96rad/s.96 \mathrm { rad } / \mathrm { s } . The wheel is run at that angular velocity for 40 s and then power is shut off.The wheel slows down uniformly at 1.5rad/s21.5 \mathrm { rad } / \mathrm { s } ^ { 2 } until the wheel stops.For how long a time after the power is shut off does it take the wheel to stop?

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