Visual Proof: a= v^2/r

[mayito85041]

me ha tomado dos años entender esto gracias a udsted de una forma muy clara

[antiveta]

I thank you , really, because in my class I didn't get it clearly .

thanx thanx thanx

[Wid552]

(Continuing from my 1st comment) Is the velocity vector just directional? 

[CeaseFireTheAncient]

@Wid552 Velocity is a vector. It has a direction, and a magnitude. If it was a scalar it would have neither. [Speed is a scalar, velocity is a vector]

[Wid552]

For the second circle, could you explain how the radius of the second circle represents the velocity? Or could it be represented in the same way by placing the velocity vectors on the circumference? Or is it just purely representative, regardless of positon?

[trollwarlord3]

hey the radius of circle is not the magnitude of velocity!! rendering this proof WRONG

[lolololort]

@trollwarlord3

The radius of the circle drawn on the right isn't the circle with radius = r. It's a visual representation of how a relates to v ( v and a replotted). Rendering your comment WRONG

[Shadowolf64]

boobs.

[lolololort]

@Shadowolf64

QED

[GoodDeedsLeadTo]

Could we go on one step further and relate 2 * pi * V /a to 2 * pi * a / (first derivative of acceleration)

And, What is first derivative of acceleration called?

[shubhamrathi94]

Hey,

Please explain me this:

1. Why should the magnitude of the velocity vector be constant? what reasons us to think so? Please give Mathematical proof as well.

2. Acceleration Vector should be in the direction of the velocity. Why have you take it to be perpendicular in the second circle? If the acceleration vector and velocity vector are perpendicular- do they hold any connection at all? remembering that both are vectors.

Pls verify or point out my misconception.

Thanks

[DuckyDipper0]

@shubhamrathi94

1. The magnitude of velocity is also known as speed; velocity is a vector which describes the direction of speed.

2. There are two different accelerations. You are confusing tangential acceleration with the acceleration that is inwards. The acceleration that is inwards is perpendicular to the velocity. Tangential acceleration is the acceleration tangent to the circle of motion. There is a tangential acceleration if there is a change in speed.

[Alfixo]

incridible

[thelastbattle19]

wow!!!!!!!!!!!!!!!

[Artema5]

2 people are teachers who can't explain this as good as khan ;)

[qishenjiang]

Yo da man!

[naughtydevil02]

you shud put something that says thumbs up for this video or smth cuz sometimes i just move on to another video and when i realize it i feel bad for not giving a thumbs up cuz that is the least i can do right now!!:)thanks sal for getting me through calculus and physics!!!:)

[mrbobobo262626]

1:11: BOOBIES!

[Ronaldoo91]

the coefficient of static friction between teflon and scrambled eggs is about 0.04, what is the smallest angle from the horizontal that will cause the eggs to slide across the buttom of the teflon-coated skillet the answer in said its 2degrees but i don get how they get that answer could u please help

[Iwana209]

I finelly understand this!

:D

[cz0622]

That's a really easy-to-understand visual explanation! THANKS A LOT MAN!

[ThoseLatinoKids]

how can 2 people unlike this? that is awesome :D

[thelastbattle19]

@ThoseLatinoKids they cant admit they love salman work

[ThoseLatinoKids]

@thelastbattle19 good point - it's pure jealousy from them.

[LNasterio]

Thank you! thank you so much for making this video!!!

I suffered for this formula for a while...

and finally I can use it by knowing where did it came from...

[VolcanicDrum]

Really nice, thank you!

[poemZX]

rofl this intuitive proof screamed tangents and derivatives at me the whole time, was cool

[DartmouthAlum96]

This is a brilliant proof without using calculus! I never thought it was possible to prove ac = v^2 / r without using derivatives.

[DUBzDaKINGz]

THANKS A LOT BUDDY

[richardbyronsmith]

great visual presentation, helps understand the idea of derivatives of position and speed.

[karinashenaz11]

Nice! Even though you did ramble and fuss about the colours :) Thanks though :P x

[basbloem]

I coded this from your video into Game Maker,

It's working :P Thanks :D

[shortiee1816]

thank you so much!!

[tubesteakZ]

Thank you. This was a nice clear explanation

[smiletag]

oh my god!!! i love you man! this made everything soooooo clear to me... thank you so much. my prof. coudlnt explain that to me. your the man!

[PianoWallaby]

This is a very good video. Thank you.

[Altair9292]

omg we are learnin this in physics class...thx cause this has helped a lot

[Kylethornton]

a= v^2/r is true....lol i'm 15 and i know calculus

[Marsc0met]

@Kylethornton Einstein was 12 years old when he learnt Calculus