Centripetal force relation to angular momentum

Thread starter turnip
Start date Oct 17, 2007
Tags

Angular Angular momentum Centripetal Centripetal force Force Momentum Relation

AI Thread Summary

To establish a relation between centripetal force and angular velocity, one can start with the equation for centripetal force, Fc = mv^2/r. Substituting the linear velocity (v) with angular velocity (ω) using the relation v = ωr allows for a connection between the two concepts. The definition of angular velocity is the rate of change of angular displacement, typically measured in radians per second. By substituting v in the centripetal force equation, the relationship can be expressed in terms of angular velocity. This approach effectively demonstrates how centripetal force is related to angular momentum through angular velocity.

Oct 17, 2007

turnip

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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Oct 17, 2007

cristo

Staff Emeritus

Science Advisor

What's the definition of angular velocity?

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