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Derive the relation between rotational KE and angular momentum. |
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Answer» SOLUTION :Let a rigid body of moment of inertia I rotate with angular velocity `omega`. The angular momentum of a rigid body is `L=I omega` The rotationakl KINETIC energy of the rigid body is `KE=1/2 I omega^(2)` By MULTIPLYING the numerator and denominator of the above equation with I, we GET a relation between L and KE as, `KE=1/2 (I^(2)omega^(2))/I=1/2 ((Iomega)^(2))/I` `KE=(L^(2))/(2I)` |
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