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Physics LibreTexts

19.5: Angular Impulse and Change in Angular Momentum

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If there is a total applied torque τS about a point S over an interval of time Δt=tfti, then the torque applies an angular impulse about a point S, given by

JS=tftiτSdt

Because τS=dLtotal S/dt the angular impulse about S is equal to the change in angular momentum about S,

JS=tftiτSdt=tftidLSdtdt=ΔLS=LS,fLS,i

This result is the rotational analog to linear impulse, which is equal to the change in momentum,

I=tftiFdt=tftidpdtdt=Δp=pfpi


This page titled 19.5: Angular Impulse and Change in Angular Momentum is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Peter Dourmashkin (MIT OpenCourseWare) via source content that was edited to the style and standards of the LibreTexts platform.

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