Question

# A fan is rotating with angular velocity $$100 rev/sec$$. Then it is switched off. It takes $$5$$ minutes to stop. Find the value of angular retardation.

A
13rev/sec2
B
12rev/sec2
C
23rev/sec2
D
16rev/sec2

Solution

## The correct option is A $$\displaystyle \frac{1}{3}\, rev/sec^{2}$$Answer is A.In this case, the initial angular velocity of the fan is $${ \omega }_{ 0 }=0$$ and the final angular velocity of the fan is $$\omega =100\quad rev/sec$$.The value of angular retardation is calculated as follows.$$\omega = \omega_{0} + \alpha t \Rightarrow 0 = 100 - \alpha (5 \times 60) \Rightarrow \alpha = \displaystyle \dfrac{1}{3}\, \dfrac{rev}{sec^{2}}$$.Hence, the value of angular retardation is  $$\dfrac { 1 }{ 3 } \dfrac { rev }{ { sec }^{ 2 } }$$.Physics

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