Law of Conservation of Angular Momentum

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 formulas

\(\large{ \Rightarrow\; \Delta L =  0 }\)

\(\large{ \Rightarrow\; \Delta L_i =  L_f }\)

\(\large{ L =  I \; \omega }\)

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	\(\large{\frac{deg}{sec}}\)	\(\large{\frac{rad}{s}}\)
\(\large{ L_f  }\) = final angular momentum	\(\large{\frac{lbm-ft^2}{sec}}\)	\(\large{\frac{kg-m^2}{s}}\)
\(\large{ L_i  }\) = initial angular momentum	\(\large{\frac{lbm-ft^2}{sec}}\)	\(\large{\frac{kg-m^2}{s}}\)
\(\large{ I  }\) = moment of inertia	\(\large{ lbm-ft^2 }\)	\(\large{ kg-m^2 }\)