Average Angular Momentum Conservation? mω

Thread starter StevenJacobs990
Start date Sep 19, 2016
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Angular Angular momentum Average Conservation Momentum Momentum conservation Speed Velocity

AI Thread Summary

The discussion centers on the concept of angular momentum conservation, specifically whether average angular speed can replace linear velocity in conservation equations. It suggests that just as linear momentum is expressed as m1v1 = m2v2, angular momentum can be represented as m1ω1 = m2ω2. The conversation further clarifies that to apply this concept correctly, mass should be substituted with moment of inertia, leading to the equation I1ω1 = I2ω2. This highlights the relationship between angular displacement, time, and the conservation of angular momentum. Understanding these principles is crucial for analyzing rotational motion in physics.

Sep 19, 2016

StevenJacobs990

My textbook talks about the average angular speed that ω = angular displacement / time for the angular displacement to take place.

So the question is like there is m₁v₁ = m₂v₂, can the velocity be instead average angular speed to have the conservation of momentum equation like this?
m₁ω₁ = m₂ω₂

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Sep 19, 2016

DrClaude

Mentor

There is conservation of angular momentum. You need to replace mass by moment of inertia:
I₁ω₁ = I₂ω₂

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