A fan is making 600 revolutions per minute

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A fan is making $600$ revolutions per minute. If after some time it makes $1200 $ revolutions per minute, then increase in its angular velocity is

A

$10\,\pi \,rad/\sec $

B

$20\,\pi \,rad/\sec $

C

$40\,\pi \,rad/\sec $

D

$60\,\pi \,rad/\sec $

A fan is making $600$ revolutions per minute. If after some time it makes $1200 $ revolutions per minute, then increase in its angular velocity is

Increment in angular velocity $\omega = 2\pi ({n_2} - {n_1})$

$\omega = 2\pi (1200 - 600)\frac{{rad}}{{min}} = \frac{{2\pi \times 600}}{{60}}\frac{{rad}}{s}$$ = 20\pi \frac{{rad}}{s}$