Visual physics derivation! (Centripetal acceleration)

[@Mahesh_Shenoy]

First! Also, if you like such videos and haven't already consider subscribing - lnkd.in/ggwZxJNk A new intuitive physics video every weekend (Almost). Next up - Biggest confusions on centripetal and centrifugal forces!

[@SureshBabu-et8zb]

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

[@SyedShaan-ib4bv]

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

[@xsli2876]

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.

[@Mahesh_Shenoy]

Love it!

[@rufaidasheikh2725]

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

[@Mahesh_Shenoy]

Thanks a lot for reaching out, Rufaida :)

[@joshita_alapati]

Best explanation I got to understand its derivation in visual senses

[@MalikIstiakAhamedRohan]

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

[@RazinMansur]

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

[@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.

[@Siberian_Khatru.]

Absolutely,I loved this way of explaining Although there's a more generalized geometric proof which is applicable for any curve which derives a general formula for the radial velocity of any curve.You simply substitute the condition that in circle the radial distance never changes over that generalized equation of radial acceleration of any curve and can easily understand why is the radial acceleration equal to v^2/r in circles

[@matemaicon]

Durante anos eu procurei em livros alguma derivação do cálculo da aceleração centrípeta sem passagem ao limite. Finalmente. Muito obrigado e parabéns. Foi a melhor explicação que já vi.

[@HamidKhan-uv7qm]

The same question was asked one of my student but I don't know the right answer at that time.....thanks God I have such respectable and informative teacher❤❤❤❤❤

[@mesganawoldeselassie4267]

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

[@AltF-dd3zm]

There is an even more intuitive explanation: acceleration is v * w, where v is velocity and w is angular frequency. As the object rotates 360 degrees at rate 'w', the velocity vector also rotates 360 degrees at rate 'w', so the instantaneous change in velocity is v*w (w = v/r, v = wr and you can derive the other equations)

[@davidogbija5806]

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

[@noelfuentes2810]

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

[@ShabriElantholy]

The best physics teacher on KZbin ever ❤

[@hellocoding6641]

Honestly, such videos further my interest in physics. Great job. Well animated.

[@letsdance8045]

You are the greatest teacher that I never see

[@valli474]

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

[@Mahesh_Shenoy]

Thanks a ton, Valli! :)

[@MDE123]

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

[@andyschultz6956]

Simple, understandable, fantastic. Well done sir.

[@Arun-y5i]

You have got very high quality grey matter in you sir😮

[@anwarkokofwipo9782]

finally !!! that's what I was looking for

[@BigBadUniverse]

This is a beautiful video. Also, please do video on intuitive understanding of cross product AxB as to what the determinant does and why . What do the coefficients of i,j,k represent in real world. physical significance of criss crossed term (x1y2-x2y1) for example as coefficient of k. why cross product is designed mathematically in such a way ?

[@alphanahmetunsal]

Beautiful. Thank you very much

[@samarth2410]

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

[@Mahesh_Shenoy]

Glad you liked it!

[@rakibhossain5080]

You are messed up proportional with equlalites. Now find the proportional constant in your final ans.

[@godqueque987]

1

[@rakibhossain5080]

@@godqueque987 proof? I will say pi, prove me wrong.

[@godqueque987]

@@rakibhossain5080 not explained here, not the point of the video. As for me idk

[@godqueque987]

Calculus ig idk

[@H.4.D.i69]

@@rakibhossain5080experimentally proven 😁

[@praveenkumarmorabad1358]

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

[@Mahesh_Shenoy]

You are welcome :)

[@AlirezaKhodabakhshian-ny5xj]

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

[@michaelmulai6962]

this is how physics should be taught.

[@Robinhood-rj3rt]

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

[@wikdipr2944]

You should see the calculus proof

[@in_essence_codm]

Im in only 9th grade but I understood it clearly

[@TanmayGaude23e4]

​@@in_essence_codmhe is talking about ppl who came up with the formula at first.

[@kazukawasaki97]

​@@wikdipr2944this isn't proving its reasoning I think,the proof as well uses similar triangke concept of vector triangle and radius triangle but I don't know the calculus proof is there a name or a vedio about it as well?

[@algirdasltu1389]

This is high school geometry...

[@spathr]

Outstanding-Thank You!

[@timo_huovinen]

3:30 Brilliant

[@raghavg5847]

thanks sir , great video but does this mean that if two cars travelling in a straight line (at different speeds) turn such that their velocities after the turn are in the same direction,then the change in velocity of the faster car will be more? (i dont know why but i expect them to be equal) Also sir please check the book Pathfinder for Physics, it has unique problems especially MCQs section

[@Mahesh_Shenoy]

Yes! Longer vectors means bigger change.

[@mryan2010]

This guy is soooo good.

[@cartoonic6039]

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

[@LeonBS_Brawling]

there must be a velocity, either caused by an external force or due to inertia of motion, this velocity would cause the object to move straight, but since there is a centripetal force, there is perpendicular force towards the centre. if the body attracting the object was a flat surface, the object wouldve fallen down eventually (imagine you throwing a ball far away), except its round and is in a loop of centripetal force and its velocity. also for your second question, since w, angular velocity is constant, angular and tangential acceleration is 0, but the centripetal acceleration is there (the linear acceleration that causes the tangential velocity to change direction is centripetal acceleration) and it causes the circulation motion in the first place correct me if i got anything wrong !! :]

[@priyalkhurana9763]

I just have one confusion, when talking abt centripetal acceleration how can we consider changing the magnitude of velocity? Isn't radial acceleration responsible for that?

[@geeblenhoff1]

I don’t understand how a is inversely proportional to R bc a is in fact proportional to R. In the center of the circle there is no acceleration and as u go further out a increases. So now my question is is (w^2)(R) or V^2 / R correct? One says R is proportional and the other says inversely proportional?

[@eddieoneil117]

I think its confusion, im not a physic guy, but i have learn that delta v = final velocity - initial velocity. if the velocity stay the same all the time, only the direction of the velocity changes, then for v element of reels you have a delta v = 0 so whatever speed yo choose, twise or trice, delta v will always be 0?

[@badhri9821]

awesome explanation sir keep posting like this video.

[@ARN48411]

Now, It makes more sense to me!! 🎉❤

[@gabrielrojas8718]

Beatiful well explained! ❤❤

[@aleksandarslozenjicin2511]

Hi, When we double the size of radius, the car passes longer arc length (new distance A to B) in same time as first car which is moving shorter arc length (old distance A to B), why is the change in velocity identical...

[@Mahesh_Shenoy]

Because change in velocity only depends on how much velocity vector has turned! And in both cases, they have turned by the same amount!

[@shaktikashyap6]

No no no, time taken is not the same.. the time taken increase as the length of arc increase and that's why the ratio of distance/time is same as before, which means the velocity is same as before...

[@Livvv_happy_3727]

What is that arrow mark in the beginning?

[@thekid6244]

This is amazing ❤

[@sandeepsaikrishna1078]

Nice video. Thanks a lot

[@rishijoshi4792]

Bro please make a video on momentum conservation and angular momentum also....plzzzz 🙏🏻🙏🏻🙏🏻

[@thuppunathodachipoam51]

Ayyyy mahesh sir is back 🔥

[@cubesmagic720]

Bro make something related to derivatives and integrals and I am sure you will be able to do it! 😀

[@prakashraj4348]

Super animation, curious voice , and amazing explanation!

[@Mahesh_Shenoy]

Glad you liked it :)

[@CalebTesfaye-c4e]

Nice work 👏

[@learnwithconcepts363]

Sir you helped me to pass ny test thanks ❤

[@JinkunYan]

Question: Why is a proportional to the square of v over R can be written as equal to?🤨🤨

[@fersja1816]

Normally, if there's an arbitrary quantity A proportional to another quantity B, yo would equal A to B times a constant k (A=kB). The thing is, because this just is an intuitive explanation, so Mahesh didn't go into the details of why that constant is equal to 1. The compmete derivation for the equation is probably full of calculus and vector algebra (which suck). Hope I helped 😁 If there's anything else that wasn't clear, just ask.

[@JinkunYan]

@@fersja1816 Got it! I am glad to get your reply.❤

[@Forever._.curious..]

Yu serve true potential junior Physicist rather than those ratifying stupid students

[@abdulwajeed9619]

Friend: Bruh physics is tough Me:No thats the easiest subject(because of mahesh shenoy sir)

[@Mahesh_Shenoy]

Oh wow, what a motivation booster. Thanks!

[@snowdenkhaw5799]

Good video man, keep it up!!!

[@Mahesh_Shenoy]

Thanks!!

[@ranjitpanigrahi5096]

Excellent brother

[@LeonBS_Brawling]

by 'v' do you mean angular velocity?

[@kgpokebro8466]

I am student of class 9 thanks for explaining

[@crazyexperimentalinfinite]

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

[@godqueque987]

Velocity does not double over time It was already doubled when we took initial position We are discussing proportionality, idk how to explain in a better way

[@appoliticalfacts2515]

sir please be regular In this make more and more videos like this

[@Mahesh_Shenoy]

Yup, that's the plan for this year!

[@aryanraj441]

@@Mahesh_Shenoy you're planning to stop making content for class12 physics on khan academy India?

[@rajeevkumarsam5499]

Nice explanation.. kindly cover all lectures of physics clsss 11..

[@obanijesuadufe8827]

I really love how you explained things but I have a question. If you remove the proportionality sign, we still have to deal with constant k. Is that constant k simply 1?

[@AnkitMishra-zy2po]

And I got to know why radius of curvature proof😮

[@ImiGamlin-qf6ss]

that way a great explanation sir thankyou soo much

[@MalikIstiakAhamedRohan]

Very good video + animation

[@zaynbye4275]

great explanation

[@akyatwinejoshua9234]

You are just the best

[@light_1604]

Loved your video!

[@Mahesh_Shenoy]

Thanks!

[@amanbajracharya7403]

Finally!❤️❤️❤️

[@ananttiwari1337]

great explanation!

[@ARS-fi5dp]

Thanks ❤

[@BabakRaissifard]

Thank You !

[@asif20024077]

Nice explanation. Can we also reason out why there is not any non unit constant in it. Why is it not 2v^2/r or v^2/(2r)?

[@godqueque987]

Good question

[@danielaschalew]

you are a genus.

[@darshi2185]

No he is species

[@borkata7935]

I don't really understand why the change in time is cut in half when the velocity is doubled, can't the velocity have changed by giving it increasing the displacement twice? Could anyone explain?

[@navyblueskiess]

Yes but here displacement is considered as constant

[@whiteseashells7513]

Sir Projectile motion please make a video.

[@Yohanmiracle]

Awesome sir

[@Mahesh_Shenoy]

Thanks

[@aftabmohd8783]

But why is it V squared. Does it mean that the energy needed to equate acceleration centripetal for a velocity v would be equal to the same velocity but v^2.

[@singh2702]

For example, an object moves in a circular motion at a speed of 5m/s, this is the position vector. The velocity vector has magnitude of 5m/s and is tangential to the circle. The reason why acceleration is V squared is because the velocity vector is moving 5 times faster than the position vector hence 5^2.

[@saketpanigrahi]

How do you make this video . What's software you use.

[@norukamo]

Nice!

[@omkarreddydevarapalli130]

Nice explanation

[@mesganawoldeselassie4267]

It is amazing!!

[@Mahesh_Shenoy]

Thanks 🙏

[@swetha9115]

You are really amazing sir ☺,

[@SaiKrishna-iv9xo]

delta v will be same in all the cases

[@fazeelmohammad8236]

Great sir..pls give us your introduction

[@pralay1762]

Great video 😍❤️❤️

[@mariamawad-p3s]

smart explanition!!!!!!!!!!!!!!! thank you

[@fire..fly23]

Thank you so much sir

[@uzairhussain4856]

Great Animations and intuitive explanation. Which software?

[@Mahesh_Shenoy]

Thanks, Uzair! I used Keynote for this

[@uzairhussain4856]

@@Mahesh_Shenoy Thank you. Keep doing the great work. ♥️

[@ngducnam21008]

wow 😁 now i understand why a = ω²R 😁😁

[@himanshupandae]

Loved it !

[@Morax___]

Ah I love this video

[@pranavpriy8108]

Superb sir🔥🔥🔥

[@ziyadshahar2704]

I imagine whoever came up with this formula must imagining the same thing inside their head

[@divyakumar8147]

great video

[@sinah8151]

Thanks that was great !

[@AquaVenom-g4g]

intutive explaination XD

[@ashutosh-kumar]

Sir, Please make a course on KZbin or Udemy, Paid or Free, How to make videos like you?

[@Mahesh_Shenoy]

I plan to make a few videos on just that!

[@anjaligarg8709]

I had a doubt regarding magnetic field lines We say that field lines never cross since at the point of intersection the magnetic field will have two different directions, but why can't we take the vector sum of the field and calculate the resultant direction since they are vector quantities? I am a 10th grade student please help me out

[@sakettrivedi6995]

"Two field lines never cross eachother other " means while crossing they do not have individual independent existence at same point. They actually merge ( add up According to vector sum ) to give a single new field line. Hope that helps

[@anjaligarg8709]

Ohkk thanks!

[@Mahesh_Shenoy]

Great question, Anjali. I too had that exact same question. Thanks Saket for clarifying. Let me know if you have some follow up questions!