If a body is moving in a circle of radius $r$ with a constant speed $v$,its angular velocity is:

If $\vec{L}$ and $\vec{P}$ represent the angular momentum and linear momentum respectively of a particle of mass $m$ having position vector $\vec{r} = a(\hat{i} \cos \omega t + \hat{j} \sin \omega t)$,the direction of the force acting on the particle is:

Assertion $(A)$: The speed of a body in uniform circular motion is constant.
Reason $(R)$: In uniform circular motion,the acceleration of the body is constant.

$A$ particle moves in the $x-y$ plane according to the rules $x = a \sin \omega t$ and $y = a \cos \omega t$. The particle follows:

$A$ body is moving with a uniform speed of $20 \,m/s$ on a horizontal circle. The change in velocity of the body in half a revolution is

Write the relation between linear speed and angular speed.