Visual physics derivation! (Centripetal acceleration)

The most logical explanation for why centripetal acceleration formula has a v^2/R.
The centripetal force given by mv^2/R appears in most places in mechanics. However, it's not very straight forward as to why the equation has a speed squared in it, or why it's inversely proportional to the radius of the turn. In this animated video, we will get the intuition behind this.
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Chapters
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00:00 Visualising change in velocity
01:00 Doubling speed
03:40 Tripling speed
05:00 Why V^2
05:25 Doubling radius
07:25 Tripling radius
08:03 Why 1/R

[SyedShaan-ibbv]

This is the most intuitive reasoning for centripetal acceleration that I’ve seen, I think I’m finally satisfied

[SureshBabu-etzb]

Sir I can confidently say that you are the best teacher on the platform

[xsli]

Thank you! Using the same trick, we can derive another version of centripetal acceleration: omega^2 x radius.
In terms of why the direction of centripetal acceleration is always pointing toward the center, because the magnitude of velocity doesn't change. It is not getting faster or slower. If the acceleration(which is a vector too) has some component on the direction of velocity, then velocity magnitude will change. Therefore, centripetal acceleration must be perpendicular with the velocity.

[rufaidasheikh]

hi sir
I watched ur videos at khan academy...
and fell in love with your teaching
and here I am, feeling guilty for stalking you on youtube
i really want to thank you for making me fall in love with science...
luv yuh

[noelfuentes]

Wow bro, I never comment on videos, but this was exactly what I needed, great job. I finally understand the concept now! Thanks!

[phannamanh]

This formula makes me feel confused. I always set the question (Why) in my mind. I tried to prove it by using calculus but it is so complicated. I figured out a lot of explanations about it and afterwards i am disappointed. Fortunately, I came across your video and it is the best thing I've seen.
Thank you very much. It helps me a lot.

[MalikIstiakAhamedRohan]

This video really make my concept clear as
Thank you very much, sir

[joshita_alapati]

Best explanation I got to understand its derivation in visual senses

[mesganawoldeselassie]

You really helped me as I am visual learner...thank you so much again!!

[gimjzbo]

one of the best explanation I've had in a long time

[davidogbija]

🎉🎉🎉 This teaching worth celebrating. Thank you so much Sir.

[crazyexperimentalinfinite]

Hi at 01:16 you changed the vectors of inital velocity to but it shall remain same

[cartoonic]

I have a very simple but intuitive question.
Why doesnt the object collapse into the point.
Since the centripetal force is an acceleration is increasing with time it should get to a point where its high enough to pull the object towards its centre.
For example:
The electron in an atom if not for its stationary state it should be pulled towards the nucleus since the proton and nucleus attract but what keeps it moving in a circular path is the fact that they have fixed energy called stationary States so they can't lose energy.
But objects in the real world dont have fixed energy level so what keeps them in circular path?

Another example is that if we change the mechanics occurring on the body interms of force, The centripetal force will be the F=m×a but converting the objects tangential velocity into force its F=0 since it has no acceleration.Resolving the 2 forces the object is supposed to move towards the center so why does it still move circular

[letsdance]

You are the greatest teacher that I never see

[valli]

Your explanations are the best, i always wonder how learning here is made so easy and very enjoyable, thanks a ton sir :)

[MDE]

Thank you! Best explanation I have seen. I get it now

[AlirezaKhodabakhshian-nyxj]

Bro you are awesome that was the exact logical explanation I was looking for, thanks you very much, keep making these kind of videos 🎉🎉❤❤

[Robinhood-rjrt]

there is no way.... most of the normal people can understand this....may God give strength for them....

[praveenkumarmorabad]

As a teacher You inspired me alot 🙏🎁 thank you sir 🙏🙏

[samarth]

Wow, how simply you explained it.This is awesome!👍