Non uniform circular motion acceleration

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SUMMARY

In non-uniform circular motion, the centripetal acceleration can change due to variations in velocity. The formula for centripetal acceleration, A = v²/r, indicates that if the radius (r) remains constant while the velocity (v) changes, the centripetal acceleration will indeed increase or decrease accordingly. For a deeper understanding, the Frenet equations provide a comprehensive framework for analyzing motion in two dimensions, particularly in non-uniform scenarios.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula A = v²/r
  • Familiarity with the concepts of uniform and non-uniform circular motion
  • Basic knowledge of the Frenet equations
  • Ability to interpret motion in two-dimensional space
NEXT STEPS
  • Study the application of the Frenet equations in two-dimensional motion
  • Explore the relationship between velocity changes and centripetal acceleration
  • Investigate examples of non-uniform circular motion in real-world scenarios
  • Review advanced topics in kinematics related to circular motion
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of circular motion and its mathematical descriptions.

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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