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Calculus Proof that a=v^2/r

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Uploaded by on Apr 10, 2008

Using calculus and vectors to show that centripetal acceleration = v^2/r

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LICENSE: Creative Commons (Attribution-Noncommercial-No Derivative Works).

For more information about this license, please read: http://creativecommons.org/licenses/by-nc-nd/3.0/.

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  • How can you not get it, this calculus is very well done and easy to follow. I understand some people don't understand calculus thats why he has done a visual proof of the same thing so you have a choice of what you prefer. Atleast have some respect for this guy, he does a hell of alot of videos for people for FREE. This guy is awesome! He makes it so clear, this guy is better then my old tutor and I done have to pay for this. So thank you Sal for these videos, I appreciate it alot!

  • haha entrez got served

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  • I don't understand how is can make a derivative of a function (let's say of: r*cos(teta) ) in regards to a variable (t) that's not even part of the function ? I tried in Matlab and it won't let me. In matlab, you have to make a derivative in regards to one of the functions variable. Can someone explain?

  • is this for uniform circular motion only?..In your proof it wasn't assumed that the magnitude of the velocity is constant because it wasn't needed, so it must apply for non-uniform motion as well,so i'm wondering why the magnitude of the acceleration vector exactly equals v^2/r..shouldn't that be the magnitude of the centripetal acceleration only... so that the magnitude of the overall acceleration should be different??im really confused .....can someone please reply....thanks in advance!!

  • thank you(:

  • @andyscape lol

  • Thank you. My Physics teacher did this a couple times in class but it went all to fast for me to get a good understanding. I was going to try and prove it myself, but I knew you probably had an intuitive way of showing it. Thanks!

  • @johnqwertyful

    omega

  • w or omega?

  • well i just graduated high school, and now after this video i have decided to sell meth for a living.

  • great video!

    p.s. omega! not w!

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