Non uniform circular motion acceleration

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In non-uniform circular motion, the centripetal acceleration does change as the velocity of the object varies. The equation A = v²/r applies to uniform circular motion, but in non-uniform motion, the velocity is not constant, leading to variations in acceleration. The Frenet equations provide a more comprehensive framework for analyzing motion in two dimensions, including cases of non-uniform circular motion. If the object remains on the same circular path with radius r, the centripetal acceleration will indeed increase as velocity increases. Understanding these dynamics is crucial for accurately describing non-uniform circular motion.
ahmed emad
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In uniform curved motion , I can get the acceleration from the equation :
A = v2/r , but in non uniform the velocity is changing , so will the certipetal acceleration also change ?
 
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Google the Frenet equations. Those equations treat the more general case.
 
It's far from my question. I meant will the centripetal acceleration increase?
 
ahmed emad said:
It's far from my question. I meant will the centripetal acceleration increase?
If the object stays on the same circle of radius ## r ##, the answer is yes.
 
Okay , thanks very much.
 
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