Physics

Problem

A flywheel starts from rest and attains an angular velocity of

32\,\text{rad s}^{-1}

8\,\text{s}

while rotating about its fixed axle. Assuming the angular velocity increases uniformly during this interval, (a) calculate its constant angular acceleration, (b) determine the angle through which it turns in these

8\,\text{s}

, and (c) sketch, on the same set of axes, qualitative

\omega

–

t

and

\theta

–

t

graphs for the motion, clearly labelling all key numerical values.

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