Angular Momentum: Basic Equation
In linear momentum we use the equation P = mv, where P is the momentum, m is the mass in kilograms, and vis the velocity in meters per second. The angular momentum equivalent is:
\[L = I\omega \]
Where L is angular momentum, I is the moment of inertia, and omega is the angular velocity. The angular velocity can be related to the linear velocity, v, if you know the radius, r, from the center of rotation by using the equation 
= v/r. However, the moment of inertia for any object is determined by three factors: its mass, shape, and axis of rotation.
The moment of inertia I of a point mass moving in a circle of radius r:
\[I = mr^{2} \]
substuting I and in angular momentum.
\[L = mr^{2} \times \frac{v}{r} \]
\[L =mvr \]
The angular momentum of a particle of mass m with respect to a chosen origin is given by
\[ L = mvr \: sin \theta \]
