# Angular Momentum Formula

The degree to which a body rotates, gives its angular momentum. It is designated by L. Angular Momentum Formula is articulated as

$L=I\omega$

the angular velocity is ω. The moment of inertia of the rotating body about axis of rotation is I, and the angular momentum is L,When regarding linear momentum the Angular momentum is articulated by

$L=r\times&space;p$

the linear momentum is the radius of the body is r from the axis crossing through center x signifies the cross product

It is articulated in kilogram meter square per second (kg m2/s). Angular Momentum formula is made use of in computing the angular momentum of the particle and also to find the parameters associated to it.

Angular Momentum Samples

Problem 1: A solid cylinder of mass 500 kg rotates about its axis with angular speed of 90ms-1. If the radius of the cylinder is 0.5 m. Compute the angular momentum of the cylinder about its axis?

Given: Mass M = 500 kg,
Angular speed ω = 90 ms-1,

Moment of Inertia I

$=\frac{mr^{2}}{2}$

$=&space;\frac{500(0.5)^{2}}{2}$

$=&space;62.5&space;kg\,&space;m^{2}$

The angular momentum is given by L = $I\omega$

$62.5\times&space;90\,&space;ms^{-1}$

$=5625\,&space;kgm^{2}s^{-1}$

Problem 2: Compute the angular momentum of the rod of radius 1 m and mass 2 kg spinning with velocity 5 rad/s?