Skip to main content

Physical Science:

Subsection 3.2.4 Angular Momentum

Angular momentum is the momentum associated with a body in rotation about some axis. It is also a vector quantity. The direction of angular momentum is parallel to the axis of rotation. Spinning ball or rotating wheel has an angular momentum. Angular momentum is represented by, \(L\text{.}\) Angular momentum is defined by
\begin{equation} L=I\omega\tag{3.2.4} \end{equation}
Where \(I\) is called moment of inertia and \(\omega\) is called the rotational velocity of the object. Moment of inertia, \(I\) tells us that how the mass of a body is distributed relative to the axis of rotation. Moment of Inertia, I: is an inability of a material to change its state of rotational motion. It is defined as
\begin{align} I \amp = mr^2\tag{3.2.5}\\ also, \quad \omega \amp = \frac{v}{r}\tag{3.2.6}\\ \therefore \quad L \amp = mvr\tag{3.2.7} \end{align}
here, \(r\) is the object distance from the axis of rotation.