Will the radial acceleration be constant?

AI Thread Summary
When torque is applied to a body in uniform circular motion, the radial acceleration is not constant due to changes in angular momentum. The application of torque increases angular momentum, leading to variations in angular velocity and subsequently altering radial acceleration. The discussion highlights two scenarios for changes in angular momentum: changes in magnitude and changes in rotation. While the initial argument addresses the first scenario, it raises the question of how the second scenario affects radial acceleration. Understanding these dynamics is crucial for analyzing motion under applied torque.
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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