Centripetal force relation to angular momentum

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SUMMARY

The discussion focuses on establishing the relationship between centripetal force and angular velocity. The key equation presented is Fc = mv²/r, which defines centripetal force. Participants suggest that substituting velocity with angular momentum could lead to a clearer understanding of this relationship. The definition of angular velocity is also highlighted as a crucial component in deriving the necessary equations.

PREREQUISITES
  • Centripetal force (Fc) and its equation: Fc = mv²/r
  • Angular momentum and its definition
  • Angular velocity and its relation to linear velocity
  • Basic algebra for equation manipulation
NEXT STEPS
  • Study the derivation of angular momentum from linear momentum
  • Learn about the relationship between angular velocity and linear velocity
  • Explore examples of centripetal force in circular motion
  • Investigate the implications of angular momentum conservation in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking to clarify the concepts of centripetal force and angular momentum.

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Homework Statement


how could one prove a relation between centripetal force and angular velocity?

i have tried to find this in a search but nothing came up.


Homework Equations


Fc= mv^2/r


The Attempt at a Solution


i guess this involves some sort of substitution for velocity and angular momentum. the problem is, which equation could/should i use?
 
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