$A$ particle completes $2$ revolutions in a circular path of radius $3$ cm. The angular displacement of the particle will be (in radian) (in $\pi$)

What is uniform circular motion? By using a proper figure,derive the equation for centripetal acceleration $a_c = \frac{v^2}{r}$ for uniform circular motion. Show that its direction is towards the center.

$A$ 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 $(\angle POQ = 40^o)$.

If a particle is moving on a circular path with constant speed,then the angle between the direction of acceleration and its position vector w.r.t. the centre of the circle will be ............

What is the angular velocity of the Earth?

$A$ motorcyclist going round in a circular track at a constant speed has: