Angular momentum in circular motion is the product of the linear momentum of the particle and the radius of rotation:
$$L = pR = mvR$$
where,
R— distance from the axis of rotation to the point where the force is applied (m);
p— momentum (N·s);
m— mass of the body (kg);
v— velocity (m/s).
The law of conservation of angular momentum states that when there is no external torque present in the system, then its total angular momentum remains conserved.
What is angular momentum?
Angular momentum is the rotational analogue of linear momentum and describes how much rotational motion an object has.
When is angular momentum conserved?
Angular momentum is conserved when no external torque acts on the system.