$A$ body moves with a constant angular velocity on a circle. What is the magnitude of its angular acceleration?

$A$ particle performing uniform circular motion of radius $\frac{\pi}{2} \ m$ makes $x$ revolutions in time $t$. Its tangential velocity is

Is the tangential acceleration of a particle moving in a circular path always zero? Under what condition is it zero?

$A$ particle is revolving in a circle of radius $2 \ m$ with angular velocity $\omega = t^2 - 4t + 8 \ rad/s$. The time when the speed of the particle becomes $8 \ m/s$ is ......... $\sec$.

$A$ particle moves from point $P_1$ to $P_2$ along a circular path with constant speed $v$. If the angle subtended by the arc $P_1P_2$ at the center is $90^{\circ}$,what is the change in velocity?

The relative angular speed of the hour hand and minute hand of a clock is (in $rad/s$):