# Derive relationship between Moment of inertia , angular velocity and torque

Desmond Robertson

## Answered question

2023-02-26

Derive relationship between Moment of inertia , angular velocity and torque

### Answer & Explanation

Angular momentum is given by,

$L=mv\times r=(m{r}^{2})(\frac{v}{r})=I\omega $

I = moment of inertia = mr^2, ω = v/r = angular velocity.

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