If a particle covers half the circle of radius $R$ with constant speed $v$,then:

Write the equations for centripetal acceleration and centripetal force for uniform circular motion.

$A$ body is whirled in a horizontal circle of radius $20 \,cm$. It has an angular velocity of $10 \,rad/s$. What is its linear velocity at any point on the circular path in $m/s$?

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:

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.