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Derive relation between kinetic energy o...

Derive relation between kinetic energy of rotation and moment of inertia.

Text Solution

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We know, kinetic energy `(E) = 1/2mv^2`
As `v = omegar`
So `E =1/2 mr^2omega^2 implies E =1/2 Iomega^2 " "[ :. I = mr^2]`
which is required relationship between kinetic energy of rotation and moment of inertia.
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