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

$A$ particle is moving in a circle of radius $5 \,cm$ with uniform speed and completes the circle in $5 \,s$. What is the magnitude of linear acceleration?

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 with constant speed $v$. It moves between two points $A$ and $B$,which subtend an angle $60^{\circ}$ at the centre of the circle. The magnitude of the change in its velocity and the change in the magnitude of its velocity during motion from $A$ to $B$ are respectively ..........

What is the linear velocity of a particle in uniform circular motion of radius $A$ and angular velocity $\omega$?

Write the equation for centripetal acceleration in uniform circular motion. Obtain these equations in terms of angular velocity $(\omega)$ and frequency $(\nu)$.