Answer:
Angular momentum is a vector quantity, meaning it has both magnitude and direction. The magnitude of angular momentum is given by the product of the moment of inertia and the angular velocity. Mathematically, it is represented as:
L = I * ω
where:
L is the angular momentum,
I is the moment of inertia, and
ω (omega) is the angular velocity.
The moment of inertia represents the rotational inertia of an object and depends on both the mass distribution and the axis of rotation. It is denoted by the symbol I.
The angular velocity (ω) represents how fast an object is rotating and is measured in radians per second.
The magnitude of angular momentum (L) depends on the values of the moment of inertia and the angular velocity. Increasing either the moment of inertia or the angular velocity will result in an increase in the magnitude of angular momentum.
It's important to note that angular momentum is conserved in a closed system when no external torques are acting on it. This conservation principle means that the total angular momentum of a system remains constant unless acted upon by external influences.
hope this is helpful for you :)