Question

A body is in pure rotation. The linear speed $\nu$ of a particle, the distance r of the particle from the axis and the angular velocity $\omega$ of the body are related as $\omega =\frac{\nu }{r}$. Thus
(a) $\omega =\frac{\nu }{r}$
(b) $\omega \propto r$
(c) $\omega =0$
(d) $\omega$ is independent of r.

Answer 1

(d) $\omega$ is independent of r

In a pure rotation, angular velocity of all the particles remains same and does not depend on the position of the particle from the axis of rotation.