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A machinist turns the power on to a grinding wheel, at rest, at time t=0 s. The wheel accelerates uniformly for 10s and reaches the operating angular velocity of 29 rad/s. The wheel is run at that angular velocity for 27 s and then power is shut off. The wheel slows down uniformly at 2.7rad/s2 until the wheel stops. What is the angular velocity in the time interval from t=0 to t=25s?

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