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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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