Angular impulse

This article is about the analogue, from linear motion to angular motion, of: impulse

Definition

The angular impulse created by a (possibly time-varying) torque over a time period is dfefined as the integral of the torque over the time period. In other words, the angular impulse created by a torque $\overline{\tau}(t)$ from time $t = t_1$ to time $t = t_2$ is defined as the integral:

$\int_{t_1}^{t_2} \overline{\tau}(t) \, dt$

Units and dimensions

Question	Answer
Scalar or vector?	Vector
Instantaneous or time-cumulative	Time-cumulative
MLT dimensions	$ML^2T^{-1}$: MLT;1;2;-1
SI units	$J-s$ (Joule-second) or $kgm^2/s$ (kilograms peter squared per second)