Radius and centripetal relation

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Homework Help Overview

The discussion revolves around the relationship between radius, centripetal force, and acceleration in the context of circular motion. Participants are exploring the implications of changing radius and speed on the centripetal force equation.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the proportionality of radius and acceleration, particularly whether radius is inversely proportional to acceleration. There is also a discussion about the effects of changing both speed and radius on the centripetal force equation.

Discussion Status

The discussion is active, with participants providing insights into the relationship between angular velocity and acceleration. Some have offered alternative expressions that may simplify the problem, while others are still grappling with the implications of their assumptions.

Contextual Notes

There appears to be some confusion regarding the units of acceleration and how they relate to the variables in the centripetal force equation. Participants are also navigating through the implications of using different values for radius in their calculations.

SUSUSUSUSUSUSUSU

Homework Statement


the file given

Homework Equations



F=mv^2/r

The Attempt at a Solution


I do not understand why the centripetal force is 2a and not 2/a since the radius of X is twice longer.

When I use the equation above, raidius is inversely proportional to the acceleration.

Is radius proportional to the accerlation? Then why it is?[/B]


 

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Both speed and radius change. And I don't see how you would place the a in the denominator. That doesn't even give an acceleration in terms of units.
The angular velocity is constant. There is an expression for the acceleration that uses the angular velocity, that makes the problem easier.
 
so
mfb said:
Both speed and radius change. And I don't see how you would place the a in the denominator. That doesn't even give an acceleration in terms of units.
The angular velocity is constant. There is an expression for the acceleration that uses the angular velocity, that makes the problem easier.
sorry i got a/2 hahah
 
SUSUSUSUSUSUSUSU said:
so

sorry i got a/2 hahah

when i use 2R, the equation will be mv^2/2R which is a/2. this is what i have got
 
The speed changes as well, don’t forget that.
 

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