Derivation of Formula for Centripetal Acceleration v^2/r

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  • Опубликовано: 29 сен 2024
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Комментарии • 206

  • @electrotech2383
    @electrotech2383 3 года назад +138

    All indian watching one day before examination : ratta maar ree 😂😂

  • @arnavrevankar444
    @arnavrevankar444 5 лет назад +65

    Wow! This is the best derivation for centripetal acceleration that I found! Thanks!

  • @pipertripp
    @pipertripp 5 лет назад +23

    That was a very simple and elegant derivation. Much simpler than the position vector approach that I'm more familiar with. Well done and it took less than 4 minutes.

  • @tomc7599
    @tomc7599 18 дней назад

    Thank you so much. I had a hard time understanding the proof they provided in my textbook, and you explained it 30 times better.

  • @civedm
    @civedm 5 лет назад +6

    Thank you so much. You are the only person to explain this thoroughly enough for me to understand. The book im using said that (delta v) points to the center but didn't explain or show how like you did. Thanks.

  • @PankajKumar-um2kr
    @PankajKumar-um2kr 5 лет назад +151

    Simplest Derivation In RUclips!
    And His *AHKH LENGHT* and *THITA* can be remember so quickly.

    • @aadithyahrudhay2269
      @aadithyahrudhay2269 4 года назад +2

      @@nikolajancic7130 the grammar Nazis strike again... Chill won't ya it's fine...

    • @swapravachanda9162
      @swapravachanda9162 4 года назад +1

      @@aadithyahrudhay2269 grammar Nazis lol

    • @abhilashp4439
      @abhilashp4439 4 года назад

      lmfao!!!!!

    • @thirsty1629
      @thirsty1629 4 года назад

      This is the best explaination of the formula I can find. AHKH LENGHT makes it better

    • @nelsonyou4638
      @nelsonyou4638 3 года назад

      @@aadithyahrudhay2269 not even grammar it’s just a pronunciation accent

  • @keerthisumanasiri4311
    @keerthisumanasiri4311 4 года назад +3

    I am really above moon as I have been struggling to understand this scenario and luckily I came across this site. Huge thanks.

  • @Aristothink
    @Aristothink Год назад +1

    Impressive proof of this formula that most Physics courses don't mention or when they do it takes forever. PERFERCT ! Congratulations

  • @khawajaumer2352
    @khawajaumer2352 2 года назад +2

    plus the accent makes physics more fun

  • @mythyt3947
    @mythyt3947 2 года назад

    Thanks sir this explanation clears my all dought about centripetal acceleration keep videos like this for our better study thank you very much sir ☺️☺️

  • @johnnyyang6625
    @johnnyyang6625 Год назад

    Thank you for your explanation. It makes sense to me and resolves my confusion!

  • @ishantharindu3935
    @ishantharindu3935 2 месяца назад

    I'm from sri lanka and thank you for sharing.. Well gained

  • @e-n-t-e-r-t-a-i-n-m-e-n-t
    @e-n-t-e-r-t-a-i-n-m-e-n-t Год назад +1

    Excellent

  • @ajaypillai3737
    @ajaypillai3737 3 года назад

    Very nice derivation
    Easy to understand
    Thanks

  • @patakotisrinivas1918
    @patakotisrinivas1918 5 лет назад

    Lucid,intuitive presentation...thanks a lot bro...

  • @kevinhenry7958
    @kevinhenry7958 5 лет назад

    Great video mate.Keep on making more videos like this.Thanks

  • @hesarasenanayake5416
    @hesarasenanayake5416 3 года назад

    Shouldn't vectors connect head to tail?

  • @lukao.3969
    @lukao.3969 5 месяцев назад

    Why is the arc length equal to v * delta t ?

  • @tp4883
    @tp4883 3 года назад

    OMGG this was so helpful thanks a lot! Also you have a very cute accent sir!

  • @aman_axioms
    @aman_axioms 2 года назад

    Bro... thank you so very much ❤️🙏

  • @kabouch
    @kabouch 4 года назад

    I would think that the angle between the two Rs has to be (180-theta) instead of theta, Am I right?

  • @pedroafonso8384
    @pedroafonso8384 6 лет назад

    Amazing explanation!

  • @DaveLilDicky
    @DaveLilDicky 3 года назад

    Sorry if it is a stupid question, but why aren't the vectors v1 and v2 drawn tip-to-tail?

    • @xmtutor
      @xmtutor  3 года назад

      They are two different methods giving the same answer. If you're doing the "tip-to-tail" method you must remember to flip v1. If you're doing the method I used in this video, you must not flip v1. Draw them out yourself to convince yourself :-)

  • @wesleyblack8302
    @wesleyblack8302 10 месяцев назад

    why is the arc length vdt instead of rdtheta?

    • @xmphysics
      @xmphysics 10 месяцев назад

      It is both. From circular measure consideration, it is rdtheta. From distance=speed x time consideration, it is vdt.

  • @niceone7149
    @niceone7149 7 лет назад

    Really helpful ☺

  • @jigarbhatiya3329
    @jigarbhatiya3329 7 лет назад

    Thank you 😊 very much....

  • @ludyakesturi521
    @ludyakesturi521 3 года назад

    Thanksss

  • @MMDA575
    @MMDA575 2 года назад

    Cool!

  • @nootherincognito2047
    @nootherincognito2047 4 года назад +2

    Derivation of the formula can be simply done through algebra. F = -m- a = ( -m- v^2)/r; a = v^2/r

    • @turinreza
      @turinreza 3 года назад +2

      you just substituted the answer..
      you didn't derive at all

  • @RJYounglingTricking
    @RJYounglingTricking 7 лет назад

    TY

  • @kashishgupta3401
    @kashishgupta3401 Месяц назад

    Pw is best

  • @eagleman2290
    @eagleman2290 6 месяцев назад

    Don't know if he did that on purpose

  • @tariksingh2340
    @tariksingh2340 6 лет назад +1

    Tita

  • @josecasillas4081
    @josecasillas4081 6 лет назад +104

    This was actually a really simple and easy derivation. Nice. I wish I had payed more attention in my geometry classes. For some reason geometrical derivations are challenging to me. Intuitively I understand what is being done, but I just have trouble with the mathematics itself.

    • @pro2pro1
      @pro2pro1 2 года назад

      Truely agreed bro

  • @KitBetts-Masters
    @KitBetts-Masters 4 месяца назад +13

    You know it's a good video when UK students are watching before their A Levels. :-) Nice one!

  • @henryfolds4990
    @henryfolds4990 4 года назад +14

    Fantastic derivation, really clear - I used it to teach my students!

  • @jacobvandijk6525
    @jacobvandijk6525 5 лет назад +17

    Haha, I like the swimming-pool analogy! Btw, arclength = r . d(theta) ;-)

    • @NEXC
      @NEXC 4 года назад

      /?

  • @IAmIshanSaxena
    @IAmIshanSaxena 3 года назад +2

    Anybody noticed the $2.05 on the pen ...???

  • @qualquan
    @qualquan 6 лет назад +5

    Better than most and to the point geometric derivation using similar triangles. He does equate subtended arc with subtended chord by using limit angle theta which many presenters don't.

  • @hariharanm4340
    @hariharanm4340 Год назад +1

    Thank you it was a ez way to understand and I have no idea why I am studying this cuz I am a 9th grader but this is 11 th
    Who cares!

  • @johnsonjohnable
    @johnsonjohnable 7 лет назад +7

    This is awesome - I finally understand. Thanks for being so clear.

  • @Sindurkurup
    @Sindurkurup 4 года назад +4

    Thankyou so much. I've been searching all over youtube to find a good explanation. You made it. And that was the simplest explanation I've so far founded. Thanks

  • @abhilashp4439
    @abhilashp4439 4 года назад +4

    This derivation is very much amazing and to the point mathematical!!!!!The analogy was lucid and very relatable!!!!!!! Good!!!!

  • @bensmid1610
    @bensmid1610 4 года назад +2

    This is absolutely fantastic. After confusing lecture videos, and not following Khan, this was fantastic and succint.

    • @xmtutor
      @xmtutor  4 года назад +1

      Yay! Do check out my other resources at xmphysics.com

  • @RanganathaCP
    @RanganathaCP Год назад +1

    Thank you sir for giving easiest derive

  • @Sir_Isaac_Newton_
    @Sir_Isaac_Newton_ Год назад

    You can also explain it by v times ∆t being the same as displacement ∆d, which is always a straight line and never curvy.

  • @univuniveral9713
    @univuniveral9713 4 года назад

    cheating. You cannot equate such triangles because v is not a length. Moreover, if you say v1 = v2 and we call it v, in the same breath you say delta_v exists, Wrong.

  • @steve_lion8563
    @steve_lion8563 2 года назад +1

    i understood everything except the last part of delta V/V

  • @rouxuan9994
    @rouxuan9994 2 года назад +2

    the best video i found in yt about centripetal acceleration

  • @zaydislxm
    @zaydislxm 4 года назад +5

    UKHHH LENGTH LMAO LOVE THIS DUDE

  • @sangita5985
    @sangita5985 Год назад +1

    Thank you so much for this✨️.. for explaining so clearly and deriving the formula very simply and beautifully🙇‍♀️

  • @Vedicbosss
    @Vedicbosss Год назад

    sir can you please explain how the triangle's 3rd side a ∆V cuz ∆V = V2 - V1

  • @rida329
    @rida329 4 года назад +3

    This is so simple THANK YOUUUU😭😭😭

  • @SahasThudugala-pz3ct
    @SahasThudugala-pz3ct 4 месяца назад

    I have exams in one more hour and this helps a ton… this is a frequently repeated question

  • @nidalal-sayed4019
    @nidalal-sayed4019 Год назад

    dv and dt not delta.
    You are working finite elements.
    Good work and thx for effort. 👍

  • @timmoore9331
    @timmoore9331 7 лет назад +4

    I agree, thank you for being so clear.

  • @sirfermainclancharlie1018
    @sirfermainclancharlie1018 3 года назад

    Beautiful explanation. And you're not acting smartass.

  • @anmolamrutkar9317
    @anmolamrutkar9317 3 года назад

    When v1 and V2 are same how will be delta v ?? It should be zero.....if not why you have considered isosceles triangle ration equal

    • @xmtutor
      @xmtutor  3 года назад

      v1 and v2 are equal in magnitude but different in direction. Because they are different in direction, v1 does not subtract v2 away completely. The difference is delta v, which is represented by the third side of the isosceles triangle.

  • @daniel.w8112
    @daniel.w8112 3 года назад +1

    That was sweet

  • @BOBO_4869
    @BOBO_4869 14 дней назад

    My teacher complicated things so much lol

  • @peterwalker5595
    @peterwalker5595 3 года назад +1

    Really good! Thank you. A-level Physics teacher, 20 years experience.

  • @damienleimbach6574
    @damienleimbach6574 Год назад

    a much simpler derivation. Thank you

  • @stevenmqj8206
    @stevenmqj8206 Месяц назад

    That's a wonderful explanation!

  • @abd1x7
    @abd1x7 20 дней назад

    the ak langth are going to make me remember way better

  • @gagsfilms
    @gagsfilms 7 месяцев назад

    Thank you for the Video, you are genius😀

  • @justinchow1644
    @justinchow1644 3 года назад +1

    very simple and beautiful explanation :)

    • @tp4883
      @tp4883 3 года назад

      eyy joji spoon

  • @mattsmith3427
    @mattsmith3427 4 года назад +1

    Very clear and we'll presented. Thank you.

  • @kevinv4788
    @kevinv4788 Год назад

    the asian ..... haiyaaa!!! jk! .. love u dude

  • @zulfakhriz2213
    @zulfakhriz2213 3 года назад

    Good explaination. It tooks me hours to understand. Then after i know about the approximation stuff. Now i understand

  • @adityarawat01
    @adityarawat01 6 лет назад +1

    Simplest way. But is it correct

  • @thailandfutsal5508
    @thailandfutsal5508 2 года назад

    If s is straight line why v is not velocity

  • @rajeshkrdubey
    @rajeshkrdubey Год назад

    In 11 th standard books in India mostly this proof is given.But there are many other profs based on calculas and I personally like one using circle cord method.

  • @alexandrucoca9770
    @alexandrucoca9770 2 года назад +1

    Thank you, man. Very nicely explained.

  • @Blade.5786
    @Blade.5786 2 месяца назад

    Very good video, thanks

  • @divyapaipai5003
    @divyapaipai5003 Год назад

    Well explained..... 👏👏👏👌👌🙏🙏👍👍

  • @ferdousmahmudhasib1520
    @ferdousmahmudhasib1520 3 года назад

    I don't understand why is the angle between v1 & v2 theta ?

    • @antigravity9222
      @antigravity9222 3 года назад

      At 0:53, he said because v1 is r1 rotated by 90 degrees, and v2 is r2 rotated by 90 degrees. So v1 and v2 form the same angle that r1 and r2 form.

  • @gamingterritory5011
    @gamingterritory5011 7 лет назад +1

    best and easiest method to derive this equation.
    thanks bro!

  • @None0fY0urConcern
    @None0fY0urConcern Год назад

    God bless you😢 ,if every one on net was just straight forward like you, world would be a different place 😢😢

  • @herroberliutenantlang5965
    @herroberliutenantlang5965 6 лет назад +1

    tata now that makes sense now....

  • @wonderpookie
    @wonderpookie Год назад

    Beautiful - thank you!

  • @peterwalker284
    @peterwalker284 3 года назад

    Great video. THanks.

  • @divyapaipai5003
    @divyapaipai5003 Год назад

    I love the way he says teta...

  • @kabouch
    @kabouch 3 года назад

    The point that is usually in question is why should we consider dx=s, or in other words, the arch length is equal to the linear displacement between the final and initial positions.

  • @mr-spoon
    @mr-spoon 2 года назад

    Thank you

  • @mrudula3328
    @mrudula3328 2 года назад

    Love from India 🇮🇳

  • @darrenyeoh126
    @darrenyeoh126 5 лет назад

    That's all, ta-da. Thank you so much. However, I have a question, are you Malaysian or Singaporean Chinese?

    • @xmtutor
      @xmtutor  5 лет назад +2

      Born in malaysia. Crossed over at 11 years old.

  • @54858251
    @54858251 7 лет назад +5

    thank you so much, you were the only channel who could explain it in a basic way

  • @default-126
    @default-126 3 года назад

    Damn that guy's insane!

  • @eyw9528
    @eyw9528 8 месяцев назад

    Really good explanation. I understood everything after this.

  • @TheJonathankang
    @TheJonathankang 6 лет назад +1

    Lucid explanation, thank you.

  • @khawajaumer2352
    @khawajaumer2352 2 года назад

    excellent explanation tho

  • @JoshuaSalazarMejia
    @JoshuaSalazarMejia 7 лет назад +1

    Excellent explanation!
    Thank you!

  • @sandylifestyle2530
    @sandylifestyle2530 6 месяцев назад

    Super raa mamae🎉

  • @fundamental4145
    @fundamental4145 Месяц назад

    How v=r??

  • @jakebenn7945
    @jakebenn7945 4 года назад +1

    This is brilliant, Thank you!

  • @fahadansari9221
    @fahadansari9221 2 года назад

    LOVE FROM INDIA SIR

  • @Kruger590
    @Kruger590 3 года назад

    Tq very much. Such a simple explanation and easy to understand.

  • @user-hp6ls8qy6d
    @user-hp6ls8qy6d 10 месяцев назад

    That was a great explanation. So much better than reading it in a book. Thanks.

  • @harithrazak799
    @harithrazak799 6 месяцев назад

    Tq brother!

  • @shazaanhaider7477
    @shazaanhaider7477 3 года назад

    Not very helpful