Question

What is the acceleration of uniform circular motion?

Answer 1

Centripetal acceleration

1. The motion of a body moving with constant speed along a circular path is called Uniform Circular Motion.
2. Centripetal acceleration is the acceleration of uniform circular motion.
3. The centripetal acceleration is directed towards the centre of the circular path.
4. Centripetal force and centripetal acceleration have the same direction.
5. The mathematical expression for centripetal acceleration
   ${\mathrm{a}}_{\mathrm{c}}=\frac{{\mathrm{v}}^2}{\mathrm{r}}$
   where, ${\mathrm{a}}_{\mathrm{c}}$ represents centripetal acceleration, $\mathrm{v}$ is the velocity of the body moving in the circular path, and $\mathrm{r}$ is the radius of the circular path.
6. The unit of centripetal acceleration is $\mathrm{m}/{\mathrm{s}}^2$
7. The dimension of centripetal acceleration is $\left[{\mathrm{M}}^0{\mathrm{LT}}^{-2}\right]$