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