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this is more of a conceptual question, but how would I set a problem like this...

this is more of a conceptual question, but how would I set a problem like this up given actual values? How much energy added to a system will appear as rotational kinetic energy given the moment of inertia of the system?

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Given is the moment of inertia I. Angular velocity w will also be given. Then, the rotational Kinetic energy added to the system will be:

KE = 1/2*Iw^2

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