The angular velocity of a particle rotating i | vedclass

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(B) The angular velocity $\omega$ is given by the formula $\omega = 2\pi n$,where $n$ is the frequency of rotation in revolutions per second.Given,the

Vedclass · Accepted Answer

$10.47\, rad/s$

Vedclass · Answer

(B) The angular velocity $\omega$ is given by the formula $\omega = 2\pi n$,where $n$ is the frequency of rotation in revolutions per second.Given,the particle rotates $100$ times per minute,so the frequency $n = \frac{100}{60} \, rev/s$.Substituting the values into the formula:$\omega = 2 	imes \pi 	imes \frac{100}{60} \, rad/s$$\omega = \frac{200\pi}{60} \, rad/s = \frac{10\pi}{3} \, rad/s$$\omega \approx \frac{10 	imes 3.14159}{3} \, rad/s \approx 10.47 \, rad/s$.Thus,the correct option is $B$.

The angular velocity of a particle rotating in a circular orbit $100$ times per minute is

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