$A$ body performing uniform circular motion completes $140$ revolutions in a second. Its angular speed is .......... $rad/s$.

Two particles having mass $M$ and $m$ are moving in circular paths having radii $R$ and $r$. If their time periods are the same,then the ratio of their angular velocities will be:

$A$ particle moves with a constant speed $v$ along a circle of radius $R$. What is the change in velocity of the particle as it moves from point $P_1$ to $P_2$?

"$A$ particle moving with constant speed on a circle about a fixed axis has a constant angular velocity,but its linear velocity is not constant." Is this possible? Why?

$A$ merry-go-round rotating at a constant angular speed completes $9$ rotations in $18$ seconds. What is its angular speed?

The displacement of a body when it covers a distance of $C / 4$ (where,$C$ is circumference) along the circumference of a circle of radius $r$ with a uniform speed $u$ is