Question

Formulate an expression for angular momentum in terms of angular velocity and hence define moment of inertia

Answer 1

Dear student
We know that

Angular momentum is given by,

L = mv *r

= (mr²)(v/r)

= Iω

Where, I = moment of inertia = mr^{2
Thus, moment of inertia is the product of the masses of body to square of its distance from the considered axis.}

ω = v/r = angular velocity.
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