Discover the Simple and Elegant Proof of Ac = (V^2)/R | No Calculus Needed!

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SUMMARY

The discussion centers on a non-calculus proof of centripetal acceleration, specifically demonstrating that Ac = v²/r. The proof is appreciated for its simplicity compared to traditional calculus methods. The original publication of this proof is credited to Brownstein in the American Journal of Physics, Volume 62, Issue 10, page 946, from October 1994, and it is also referenced in PSSC materials. Participants are encouraged to ask questions for further clarification.

PREREQUISITES
  • Understanding of basic physics concepts, particularly centripetal motion.
  • Familiarity with the variables involved: acceleration (Ac), velocity (v), and radius (r).
  • Basic knowledge of mathematical proofs and their structure.
  • Awareness of academic publications in physics, such as the American Journal of Physics.
NEXT STEPS
  • Research the derivation of centripetal acceleration using calculus for comparison.
  • Explore the implications of centripetal acceleration in real-world applications, such as in circular motion.
  • Study the historical context and significance of the PSSC materials in physics education.
  • Investigate other non-calculus proofs in physics to enhance understanding of fundamental concepts.
USEFUL FOR

This discussion is beneficial for physics students, educators seeking alternative teaching methods, and anyone interested in understanding the principles of centripetal acceleration without relying on calculus.

physicsnoob93
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Hey Guys

a lot of people were asking me how to prove that centripetal acceleration is v squared over r.
Well, i know quite a few people here might not know calculus, not that the calculus to prove it is very hard, but i prepared something for you guys. Its a beautiful proof which i like much more than any calculus proof.

Its slightly amateurish because I've never really done this before.

Hope it helps though, i think you can find the proof on wikipedia anyways.

You can ask me if you guys need anything else.
 

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Physics news on Phys.org
This was published by Brownstein (AmJPhys 62(10), p. 946, October 1994). It was also in the PSSC materials.
 
Thanks.

Heh, i didn't know about the publications ><. Thanks, and sorry for not crediting before this.
 

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