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snail (120)

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Olaaa!! Perrrfect answer. 18  [33 rates]

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moment of inertia can also be interpreted this way. Suppose a small point body of mass m is rotating around an axis at a distance of r with an angular velocity ' w'. Then the instantaneous linear velocity of the mass is rw.
Its kinetic energy is 1/2mv^2 = 1/2 m (rw)^2

= 1/2 m r^2 w^2

So for getting K.E directly in terms of w new term moment of inertia is introduced as mr^2. Integration of this is MI of the larger bodies.

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