Angular Momentum

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	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)