If a particle covers half the circle of radius $R$ with constant speed $v$,then:

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

Write the equation for centripetal acceleration in uniform circular motion. Obtain these equations in terms of angular velocity $(\omega)$ and frequency $(\nu)$.

$A$ particle is revolving in an anticlockwise sense along the circumference of a circle of radius $r$ with linear velocity $v$. The angle between the linear velocity $v$ and the angular velocity $\omega$ is: (in $^{\circ}$)

$A$ particle is moving on a circular path with constant speed $v$. It moves between two points $A$ and $B$,which subtend an angle $60^{\circ}$ at the centre of the circle. The magnitude of the change in its velocity and the change in the magnitude of its velocity during motion from $A$ to $B$ are respectively ..........

The circular motion of a particle with constant speed is