First slide
Angular momentum
Question

A particle of mass m is describing a circular path of radius r with uniform speed. If L is the angular momentum of the particle about the axis of the circle, the kinetic energy of the particle is given by

Easy
Solution

The angular momentum L is given by

L=mvr     or     v=L/mr

 K.E. =12mv2=12mL2/m2r2=L2/2mr2

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