Angular impulse: Difference between revisions

Latest revision as of 20:39, 20 January 2010

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	$ML^{2}T^{-1}$ : MLT;1;2;-1
SI units	$J-s$ (Joule-second) or $kgm^{2}/s$ (kilograms peter squared per second)

@@ Line 3: / Line 3: @@
 ==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 <math>\overline{tau}(t)</math> from time <math>t = t_1</math> to time <math>t = t_2</math> is defined as the integral:
+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 <math>\overline{\tau}(t)</math> from time <math>t = t_1</math> to time <math>t = t_2</math> is defined as the integral:
-<math>\int_{t_1}^{t_2} \overline{tau}(t) \, dt</math>
+<math>\int_{t_1}^{t_2} \overline{\tau}(t) \, dt</math>
 ==Units and dimensions==