# Law of Conservation of Angular Momentum

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Law of conservation of angular momentum states the angular moment of a system of particles around a fixed point is conserved if there is no net external torque around that point.

### Law of conservation of angular momentum FORMULA

$$\large{ \Rightarrow\; \Delta L = 0 }$$

$$\large{ \Rightarrow\; \Delta L_i = L_f }$$

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

Where:

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

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

$$\large{ L_f }$$ = final angular momentum

$$\large{ L_i }$$ = initial angular momentum

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