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Q. Centripetal acceleration is

KEAMKEAM 2010Motion in a Plane

Solution:

Centripetal acceleration, $a_{c}=\frac{v^{2}}{R}$
where $v$ is the speed of an object and $R$ is the radius of ; the circle.
It is always directed towards the centre of the circle, Since $v$ and $R$ are constants for a given uniform circular motion, therefore the magnitude of centripetal acceleration is also constant. However, the direction of centripetal acceleration changes continuously. Therefore, a centripetal acceleration is not a constant vector.