# How is angular momentum related to torque?

Apr 28, 2018

\vec{\tau} = \frac{d\vec{L}}{dt};
$\setminus \vec{L}$ - Angular Momentum; $\setminus \vec{\setminus \tau}$ - Torque;

#### Explanation:

Torque is the rotational equivalent of force and Angular Momentum is the rotational equivalent of Translational Momentum.

Newton's second law relates Translational Momentum to Force,
$\setminus \vec{F} = \frac{d \setminus \vec{p}}{\mathrm{dt}}$

This can be extended to rotational motion as follows,
$\setminus \vec{\setminus \tau} = \frac{d \setminus \vec{L}}{\mathrm{dt}}$.

So Torque is the rate of change of Angular Momentum.