A Fan Is Running At 3000 Rpm. It Is Switched Off. It Comes To Rest By Uniformly Decreasing Its Angular Speed In 10 Seconds. The Total Number Of Revolutions In This Period.

\( \omega_{f} = \omega_{i} + at \) \( \Rightarrow 0 = 3000/ 60 + \alpha (10) \) \( \Rightarrow \alpha = -5 revolutions/s^{2} \) \( \omega_{f}^{2} = \omega_{i}^{2} + 2\alpha \Delta \Theta \) \( \Rightarrow 0 = (3000/60)^{2} + 2 * (-5) * \Delta \Theta \) \( \Rightarrow \Delta \Theta = 250 revolutions \)

The total number of revolutions in this period is 250 revolutions.

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