Law of conservation of angular momentum states that in the absence of an external torque, the total angular momentum is conserved or the total angular momentum of an isolated system remains constant both in magnitude and direction.
If is the angular valocity when the moment of inertia is and is the angular velocity when the moment of inertia is is, then from the law of conservation of angular momentum it follows that
When there is no net torque applied to a system, such as a rotating item or objects, the law of conservation of angular momentum asserts that angular momentum is conserved.