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Centripetal acceleration is the rate of change of tangential velocity The direction of the centripital acceleration is always inwards along the radius vector of the circular motion. The magnitude of the centripetal acceleration is related to the tangential speed and angular velocity as
{tex}{a_c} = {{{v_t}^2} \over r} = {w^2}r{/tex}
an object moving in a circle of radius r with constant angular velocity w, The tangential speed is constant, but the direction of the tangential velocity vector changes as the object rotates.
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