How does mass affect angular momentum?

1 Answer
Aug 18, 2015

Angular momentum can be written as:

L = Iomega

where I is moment of inertia and omega is rotational velocity.

If we suppose I = kmr^2, where k is some coefficient corresponding to the particular shape of the solid and its axis of rotation, r is the distance to the axis of rotation, and m is the mass, then:

L = kmr^2omega

With other variables held constant, as mass increases, angular momentum increases. Thus, mass is directly proportional to angular momentum.