Angular momentum is a physical quantity that describes the rotational motion of a rigid body. It is a vector quantity and is defined as the product of the moment of inertia and the angular velocity.
According to the law of conservation of angular momentum, the total angular momentum of a system remains constant if there is no external torque acting on the system. This means that the initial angular momentum of a system will be equal to the final angular momentum, even if there are external forces acting on the system.
To calculate the angular momentum of a rigid body, you need to know the moment of inertia and the angular velocity of the body. The formula for angular momentum is L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Torque and angular momentum are related by the equation τ = dL/dt, where τ is the torque applied to a rigid body and dL/dt is the rate of change of angular momentum. This means that torque is the cause of changes in angular momentum.
The angular momentum of a rotating object is directly related to its stability. A higher angular momentum means a greater resistance to changes in rotational motion, making the object more stable. This is why gyroscopes, which have high angular momentum, are used for stability in navigation systems and other applications.