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Angular acceleration is got by the expression

alpha = {(final angular velocity)2 - (initial ang velocity)2} / 2 theta.

final is 50 and initial is 100 rad/s. Theta is 50 x 2pi radian

Therefore required alpha = -50 x 150/200 pi = -75/2pi radian/s2

Negative sign indicates that the rotation is decelrated.

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Q: A wheel of point 6 m in diameter is rotating at 100 rad per sec The wheel then decelerates uniformly from 100 rad per sec to 50 rad per sec in 50 revolutions Determine the rate of angular acceleration?
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