Will the radial acceleration be constant?

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Homework Help Overview

The discussion revolves around the effects of applied torque on a body in uniform circular motion, specifically questioning whether radial acceleration remains constant under these conditions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between torque, angular momentum, and radial acceleration, questioning how changes in angular momentum affect radial acceleration. They consider both the magnitude and direction of angular momentum changes.

Discussion Status

Participants are actively engaging with the concepts, with some suggesting that changes in angular momentum due to torque imply changes in radial acceleration. There is an ongoing exploration of different scenarios regarding how angular momentum can change.

Contextual Notes

The discussion is framed within the context of uniform circular motion and the implications of applying torque, with participants examining the assumptions related to these concepts.

Amith2006
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Sir,
When a torque is applied to a body undergoing uniform circular motion, will the radial acceleration be constant?
 
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Torque is defined as the time derivative of angular momentum. What do you think?
 
I think that when a torque is applied, the angular momentum increases as a result of which there a change in angular velocity and hence the radial acceleration changes. Is it right?
 
Sounds good so far. There are two ways that the angular momentum could change though, it could change its magnitude or it could rotate. You've argued what happens in the first case, but what about the second?
 

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