Velocity of an object in uniform circular motion

AI Thread Summary
The discussion focuses on the relationship between centripetal force, velocity, and radius in uniform circular motion. It highlights that the speed of an object is related to its radius and angular velocity, expressed as v = r·ω. The centripetal acceleration is defined as a = r·ω², leading to the conclusion that centripetal force can be represented as F = m·a = r·m·ω². The participants speculate that both centripetal force and velocity may graph as parabolas. Overall, the conversation emphasizes the mathematical connections between these concepts in circular motion.
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Homework Statement


What is the relationship between centripetal force and velocity
What is the relationshio between the radius of the object and the velocity

Homework Equations


Not really any


3. The Attempt at a Solution [/b
I believe a graph of centripetal force and velocity is a parabola but I can't find the relationship between them
I know nothing about the second problem
 
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Have yourself a http://en.wikipedia.org/wiki/Circular_motion"
 
Last edited by a moderator:
I'm sorry but it doesn't help
 
physicsman2 said:
I'm sorry but it doesn't help

Are you sure?

Did you read this part?


Then consider a body of mass m, moving in a circle of radius r, with an angular velocity of ω.
The speed is v = r·ω.
The centripetal (inward) acceleration is a = r·ω2 = r−1·v2.
The centripetal force is F = m·a = r·m·ω2 = r−1·m·v2.
 
So would both graphs be parabolas

Thank you for helping me
 

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