$A$ particle is performing $U.C.M.$ along the circumference of a circle of diameter $50 \ cm$ with a frequency of $2 \ Hz$. The acceleration of the particle in $m/s^2$ is:

$A$ particle is moving in a circle of radius $r$ with center at $O$,with a constant speed $v$. The magnitude of the change in velocity when moving from point $A$ to point $B$ is

In which case is the use of angular velocity useful?

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

$A$ particle is moving on a circular path of radius $r$ with uniform speed $v$. The magnitude of change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = 40^o)$.

$A$ heavy stone is tied to the end of a string and whirled in a horizontal circular path of radius $20 \, cm$ with a constant angular speed. If the centripetal acceleration is $980 \, cm \, s^{-2}$,what is its angular speed?