A body of mass ‘m’ performs uniform circular motion along a circular path of radius ‘r’ with velocity ‘v’. If its angular momentum is L, then the centripetal force acting on it is :

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f_c = L^2/(mr^3) Lets consider, m = m = mass of body performing circular motion L = L = angular momentum r = r = radius of circular path v = v = velocity of the particle The angular momentum, L = mvr v = L/(mr) ...(1) The centripetal force, f_c = (mv^2)/r ....(2) Substitute equation (1) in equation (2), we get f_c = m/r ( L /(mr) )^2 f_c = L^2/(mr^3)

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