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
$10\,\pi \,rad/\sec $
$20\,\pi \,rad/\sec $
$40\,\pi \,rad/\sec $
$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}$