How is angular momentum related to torque?

1 Answer
Apr 28, 2018

Answer:

#\vec{\tau} = \frac{d\vec{L}}{dt};#
#\vec{L}# - Angular Momentum; #\vec{\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,
#\vec{F} = (d\vec{p})/(dt)#

This can be extended to rotational motion as follows,
#\vec{\tau}=(d\vec{L})/(dt)#.

So Torque is the rate of change of Angular Momentum.