The image above represents centripetal acceleration in a motion of circular path.

To compute for the centripetal acceleration, two essential parameters are needed and these parameters are **angular velocity (ω) **and **radius of circular path (r).**

The formula for the calculating centripetal acceleration:

a = ω²r

Where:

a = Centripetal Acceleration

ω = Angular Velocity

r = Radius of Circular Path

Let’s solve an example;

Find the centripetal acceleration with an angular velocity of 33 and a radius of 21.

This implies that;

ω = Angular Velocity = 33

r = Radius of Circular Path = 21

a = ω²r

a = 33² x 21

a = 1089 x 21

a = 22869

Therefore, the **centripetal acceleration** is **22869 m/s².**

**Calculating the Angular Velocity when Centripetal Acceleration and Radius of Circular path is Given.**

ω = √^{a} / _{r}

Where:

ω = Angular Velocity

a = Centripetal Acceleration

r = Radius of Circular Path

Let’s solve an example;

Find the angular velocity with a centripetal acceleration of 320 and a radius of 8.

This implies that;

a = Centripetal Acceleration = 320

r = Radius of Circular Path = 8

ω = √^{a} / _{r}

ω = √^{320} / _{8}

ω = √40

ω = 6.32

Therefore, the **angular velocity** is **6.32.**