How do we derive an expression for centripetal acceleration in uniform circular motion?

Dear Student,

Centripetal acceleration is the rate of change of tangential velocity. The net force causing the centripetal acceleration of an object in circular motion is defined as centripetal force.

Centripetal acceleration derivation:
The force of a moving object can be written as,
$F= ma -\left(i\right)$

From the diagram given above, we can say that,

The triangle PQS and AOB are similar. Therefore,


Regards