The acceleration vector of a particle in uniform circular motion averaged over one complete cycle is a null vector. This statement is:

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

Write the formula for centripetal acceleration in terms of frequency in uniform circular motion.

The angular speed of the minute hand of a clock in degrees per second is

$A$ motor shaft rotates at a constant angular velocity of $3000$ revolutions per minute. Through what angle (in radians) will it rotate in $1$ second?

$A$ particle moves such that its position vector $\overrightarrow{r}(t) = \cos \omega t \hat{i} + \sin \omega t \hat{j}$,where $\omega$ is a constant and $t$ is time. Which of the following statements is true for the velocity $\overrightarrow{v}(t)$ and acceleration $\overrightarrow{a}(t)$ of the particle?