Question

Derive an expression for the rotational kinetic energy and hence define Moment of

Inertia of a body.​

Answer 1

Answer:

hii

Explanation:

The expression for rigid body's kinetic energy is given as: 1/2 Iw^2

A body undergoing a rotation dynamics with a regular velocity poses a translation motion.

let the velocity for translation motion be 'v' . We know for a translation motion the energy poses by body is 1/2mv^2

Also we know that for a body obeying rotation is V=rw

Substitute in translation =1/2r^2 w^2

Also there is a relation for momentum of inertia i.e

I = mr^2

Hence we get K.E = 1/2 Iw^2

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