Find the kinetic energy k of a particle of mass m, moving in a circular path, if l is its angular momentum and i is its moment of inertia about the center of the circle. express your answer in terms of the variables l and i.

k=

Explanation:

we know that:

L = IW

where L is the angular momentum, I the moment of inertia and W is the angular velocity.

and Also we know that:

k=

Now, we solve the first equation for W and get:

W = L/I

Replacing W on the first equation we get:

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