A machinist turns the power on to a grinding wheel, which is at rest at time t =

Question

A machinist turns the power on to a grinding wheel, which is at rest at time t = 0.00 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 68 rad/s. The wheel is run at that angular velocity for 23 s and then power is shut off. The wheel decelerates uniformly at 2.4 rad/s2 until the wheel stops. In this situation, the time interval of angular deceleration (slowing down) is closest to:

A machinist turns the power on to a grinding wheel, which is at rest at time t = 0.00 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 68 rad/s. The wheel is run at that angular velocity for 23 s and then power is shut off. The wheel decelerates uniformly at 2.4 rad/s2 until the wheel stops. In this situation, the time interval of angular deceleration (slowing down) is closest to:

32 s
30 s
34 s
26 s
28 s

Explanation / Answer

Time interval of angular deceleration, t = / = 68/2.4 = 28.33 s

Hence, answer is closest to 28 s

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