Average Angular Momentum Conservation? mω

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SUMMARY

The discussion centers on the conservation of angular momentum, specifically the relationship between linear momentum and angular momentum. The equation m1v1 = m2v2 is compared to the angular momentum equation I1ω1 = I2ω2, where I represents moment of inertia and ω represents average angular speed. The participants confirm that angular momentum conservation can be expressed using average angular speed, reinforcing the principle that angular momentum is conserved in closed systems.

PREREQUISITES
  • Understanding of angular displacement and average angular speed
  • Familiarity with the concept of moment of inertia
  • Basic knowledge of linear momentum equations
  • Fundamentals of rotational dynamics
NEXT STEPS
  • Study the relationship between linear momentum and angular momentum
  • Explore the derivation of the moment of inertia for various shapes
  • Learn about the applications of conservation of angular momentum in real-world scenarios
  • Investigate the effects of external torques on angular momentum conservation
USEFUL FOR

Physics students, educators, and anyone interested in the principles of rotational dynamics and conservation laws in mechanics.

StevenJacobs990
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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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There is conservation of angular momentum. You need to replace mass by moment of inertia:
I1ω1 = I2ω2
 

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