Let us say a particle is moving in a circle with Uniform circular motion .
Then , if I take an equation like this .
$\theta$ = S(Arc length or Total distance covered ) / Radius of circle *( time taken to cover this distance ) = $\delta$ v ( final - initial velocity ) / v final or initial *( Time taken )
= Velocity of particle / Radius of circle = Centripetal acceleration/ Radius of circle .
So , I am not getting is why do we get centripetal acceleration here.
Why not tangential or total acceleration?