# Angular Momentum

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Angular momentum, abbreviated as L (also called rotational momentum or moment of momentum), is how much an object is rotating around a fixed point.

### Angular Momentum FORMULA

$$\large{ L = I \; \omega }$$

$$\large{ L = r \; p }$$

Where:

$$\large{ L }$$ = angular momentum (rotational momentum)

$$\large{ \omega }$$  (Greek symbol omega) = angular velocity

$$\large{ r }$$ = vector length, directed from the center of rotation to the momentum point

$$\large{ p }$$ = linear momentum

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

$$\large{ m }$$ = object mass

$$\large{ v }$$ = object velocity

Solve for:

$$\large{ p = m \; v }$$