# Moment of Inertia of an Ellipse

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

### Moment of Inertia of an Ellipse, Solid Plane formula

(Eq. 1)  $$\large{ I_x = \frac {\pi}{4}\; l\;w^3 }$$

(Eq. 2)  $$\large{ I_y = \frac {\pi}{4}\; l^3\;w }$$

Where:

$$\large{ I }$$ = moment of inertia

$$\large{ l }$$ = length

$$\large{ \pi }$$ = Pi

$$\large{ w }$$ = width