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  4. The moving fan has a constant angular acceleration of π /6 rad/s2 . If it starts from rest, the number of revolution it makes in one minute is

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Q. The moving fan has a constant angular acceleration of $ \pi /6 $ $ rad/{{s}^{2}} $ . If it starts from rest, the number of revolution it makes in one minute is

AMUAMU 1998

Solution:

: For angular motion, $ \theta =\omega t+\frac{1}{2}\alpha {{t}^{2}} $ $ \theta =0+\frac{1}{2}\times \frac{\pi }{6}{{(60)}^{2}}rad $ $ \therefore $ $ 2\pi \times $ Rotations made $ (N)=\frac{\pi \times 3600}{2\times 6} $ or Rotations made $ =N=\frac{\pi \times 3600}{2\times 6\times 2\pi } $ $ N=150 $