# 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.  The angular momentun of a body is equal to the mass of the body multiplied by the cross product of the position vector of the particle with its vertical velocity.

## Angular Momentum formulas

 $$\large{ L = m \; v \; r }$$ $$\large{ L = I \; \omega }$$ $$\large{ L = r \; p }$$

### Where:

 Units English Metric $$\large{ L }$$ = angular momentum (rotational momentum) $$\large{\frac{lbm-ft^2}{sec}}$$ $$\large{\frac{kg-m^2}{s}}$$ $$\large{ \omega }$$  (Greek symbol omega) = angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$ $$\large{ I }$$ = moment of inertia $$\large{in^4}$$ $$\large{m^4}$$ $$\large{ p }$$ = momentum $$\large{\frac{lbm-ft}{sec}}$$ $$\large{\frac{kg-m}{s}}$$ $$\large{ m }$$ = mass $$\large{lbm}$$ $$\large{kg}$$ $$\large{ r }$$ = radius $$\large{ft}$$ $$\large{m}$$ $$\large{ v }$$ = velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$