derive the relation between rotational kinetic energy and moment of inertia
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Total kinetic energy, KE, is the sum of translational kinetic energy( Et)and rotational kinetic energy,( Er)
Et = ½mv^2 and Er = ½Iω^2,
where m is mass, v is velocity, I is mass moment of inertia and ω is angular velocity.
That is the relation between kinetic energy and the moment of inertia.
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