Let a rigid object is purely rotating about an axis AB with angular velocity ω take a general particle Δm2 which is at a distance of r2 from axis of rotation.
V2 = r2.w
So energy associated with this Δm2 is ΔK · E2
ΔK · E2 =
K·Etotal =
K·Etotal =1/2 lω2
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Moment of inertia is also known as rotational mass of object.
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