Velocity in Polar Coordinates

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  • Опубліковано 20 сер 2015
  • Derivation of the velocity in terms of polar coordinates with unit vectors r-hat and theta-hat
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КОМЕНТАРІ • 82

  • @amonkeywall
    @amonkeywall 5 років тому +36

    I've spent hours trying to figure out the curl of the velocity vector in cylindrical coordinates, and this derivation showed that I had the velocity vector wrong the whole time! Not only did it make me realize it was wrong, but WHY it was wrong. Thanks so much!

    • @edwinrobert1959
      @edwinrobert1959 2 роки тому

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      I was stupid forgot my login password. I would love any tips you can offer me

    • @alexisernesto3184
      @alexisernesto3184 2 роки тому

      @Edwin Robert instablaster ;)

    • @edwinrobert1959
      @edwinrobert1959 2 роки тому

      @Alexis Ernesto i really appreciate your reply. I got to the site on google and im in the hacking process now.
      Looks like it's gonna take quite some time so I will reply here later when my account password hopefully is recovered.

    • @edwinrobert1959
      @edwinrobert1959 2 роки тому

      @Alexis Ernesto it did the trick and I finally got access to my account again. I'm so happy:D
      Thank you so much you saved my account :D

    • @alexisernesto3184
      @alexisernesto3184 2 роки тому

      @Edwin Robert no problem :D

  • @jibran6635
    @jibran6635 4 роки тому +7

    Damn, this was super helpful and saved me hours of browsing through internet.

  • @amenehgharabi2414
    @amenehgharabi2414 4 роки тому +2

    Thank you so much, Finally found the answer of my question after a month desperately trying.

  • @caposolomon8745
    @caposolomon8745 3 роки тому +2

    Thank you so much, you explain so much better than my professor

  • @SerdceDikarya199
    @SerdceDikarya199 3 роки тому

    hey!!
    u explained it really nice. u could clearly deliver what my lecturer could not do in 1 hour!!!!

  • @9498mg
    @9498mg 5 років тому +4

    This is a really helpful video! I had troubles finding a good proof for this anywhere else. What would you say a formal name for this math is? Vector derivatives? I am having troubles finding it in my textbook.

  • @mohammedmhilal4129
    @mohammedmhilal4129 4 роки тому +2

    The proof my professor used was complete crap. I loved this! thank u!

  • @radekfolprecht5493
    @radekfolprecht5493 3 роки тому

    Nice video, finally I know the reasoning behind the time derivative of radius unit vector, thanks :)

  • @monicapym8948
    @monicapym8948 3 роки тому

    Great video, I found it very helpful, thank you very much!!

  • @mannathugopikrishnan9299
    @mannathugopikrishnan9299 3 роки тому

    Very well structured explanation !

  • @berniedolan5840
    @berniedolan5840 Рік тому

    Thank so much for this - a really clear explanation

  • @kikihope
    @kikihope 2 роки тому +1

    thank u so much i could finally understand it properly 💗 you're cool

  • @muhammadqurban102
    @muhammadqurban102 5 років тому +1

    Thank God I got it Sir please make a video on acceleration in polar coordinates please please please

  • @yoyotang-vz1tp
    @yoyotang-vz1tp 5 років тому +1

    good explanation. It helps a lot. thank you

  • @alfunzo
    @alfunzo Рік тому

    What a great explanation !

  • @fizzybubblyify
    @fizzybubblyify 7 років тому

    so much better than my lecturer thank you sir

  • @studentsallies
    @studentsallies Рік тому

    I am from india and I find this question. Finally the question is meet to our channel.
    So thank you so much sir 🙏🏻🙏🏻🙏🏻

  • @pdeteresa
    @pdeteresa 6 років тому

    Thank you, this is a much better explanation than my crap textbook

  • @yasithgamage
    @yasithgamage 6 років тому +1

    greatly explained !

  • @NateRiver-ph9co
    @NateRiver-ph9co 3 роки тому

    FINALLY, THANK YOU PROFESSOR

  • @sombal1999
    @sombal1999 6 років тому +1

    Thank you so much!

  • @dheyaamz5517
    @dheyaamz5517 6 років тому

    How can I find the distance between line and point in polar coordinate

  • @lokeshverma5902
    @lokeshverma5902 6 років тому +2

    shouldn't the directions of theta and theta dot be perpendicular to plane of rotation given by right hand rule??????
    therefore shouldn't the direction of theta hat be perpendicular to given plane ???

  • @markkennedy9767
    @markkennedy9767 4 місяці тому

    If we use a polar coordinate system whose origin is either 1) moving with uniform velocity or 2) accelerating or 3) itself moving around another fixed point, can we use Newton's second law in the r hat and theta hat directions.
    I suspect we can still do so in case 1) but not if it's accelerating in 2) and 3).
    If not, how would we deal with such a system with an accelerating origin: I'm thinking something like a spinning ride which is itself on a spinning carousel.
    Hopefully you can comment on this.
    Thanks.

  • @sonuanshu6051
    @sonuanshu6051 7 років тому

    awsm explaination sir
    thanx for that

  • @Alexruah6699
    @Alexruah6699 7 років тому

    how u got negative in tangential component

  • @benbrahimilias426
    @benbrahimilias426 7 років тому +1

    excellent explanation!, but why we just derivative r = rer why we don't derivative the second component which is θeθ.
    because we have two component rer + θeθ , Thanks

  • @parisanasiri-li8ut
    @parisanasiri-li8ut Місяць тому

    Thanks, it was very helpful ❤❤

  • @NickLaoutaris
    @NickLaoutaris Рік тому

    very nice video and well explained.

  • @rmsvideos1335
    @rmsvideos1335 6 років тому +1

    Why is this not *only* the velocity in the r direction.

  • @ninjaman7123
    @ninjaman7123 2 роки тому

    THANK YOU SO MUCH

  • @gaaraofddarkness
    @gaaraofddarkness 3 роки тому

    why is 𝗿 not taken as ?

  • @unmoveablepenguin
    @unmoveablepenguin 4 роки тому +1

    That was brilliant☺

  • @Mephora
    @Mephora 6 місяців тому

    Apparently my professor thought this is so trivial that we would all know this already, yet I had to spend hours looking for a good explanation of what is happening here...

  • @aryankhan-pe2ip
    @aryankhan-pe2ip 2 роки тому

    thank u so much sir for this leacture love from Pakistan🥰

  • @akshitkumar9402
    @akshitkumar9402 3 роки тому

    THANKS SO MUCH

  • @MrVHI123
    @MrVHI123 7 років тому +3

    You are a god. Thank you!!

  • @ASHRAFKHAN-ix7ie
    @ASHRAFKHAN-ix7ie 2 роки тому

    Well done sir

  • @lkusrgksfdjgfdjkh
    @lkusrgksfdjgfdjkh 3 роки тому

    Can someone explain where
    r hat = x hat costheta + y hat sintheta comes from

  • @memyselfandi4109
    @memyselfandi4109 3 роки тому

    super helpful!!!

  • @eladabudi2408
    @eladabudi2408 4 роки тому

    Thank you!!!

  • @adityaadhikaric-2105
    @adityaadhikaric-2105 3 роки тому

    Wonderful

  • @imadboutaghane2870
    @imadboutaghane2870 3 роки тому

    Thank you

  • @joebestonthemoon
    @joebestonthemoon 4 роки тому

    THANK YOU

  • @korlapatihemanth439
    @korlapatihemanth439 3 роки тому

    Sir why didn't you take theta angle towards z direction? And why we are taking theta in z direction in circular motion??

  • @suhailawm
    @suhailawm 3 роки тому

    Tnx alot sir. Form srilanka

  • @conceptuallearningforiitje9738
    @conceptuallearningforiitje9738 4 роки тому +1

    Beauty

  • @kairiannah
    @kairiannah 3 роки тому

    genius thank you

  • @ayushpanwar1005
    @ayushpanwar1005 4 роки тому

    thnx from india

  • @lezliebeans5639
    @lezliebeans5639 4 роки тому

    Holy shit!! This was such a mindfuck ..... Thank you!

  • @chandrashekhar-oq8io
    @chandrashekhar-oq8io 3 роки тому

    Thanks a lot

  • @joshuagrahm3607
    @joshuagrahm3607 5 років тому

    thank you

  • @vaibhavbhatt3366
    @vaibhavbhatt3366 7 років тому

    thank u sir....

  • @wefeelking69
    @wefeelking69 2 роки тому

    Nyc

  • @kunaldas879
    @kunaldas879 5 років тому

    Thanks

  • @Dm-ni7ti
    @Dm-ni7ti 3 роки тому +1

    You wrote dy/dy on line one by accident. You meant to write dy/dt. It's a nit-pick but if someone is following letter by letter it might confuse them. Good vid

  • @bikramsaha5406
    @bikramsaha5406 4 роки тому

    What is y cap here

  • @tshipmatic
    @tshipmatic 4 роки тому +1

    Wow, amazing!

  • @stephaniex1744
    @stephaniex1744 5 років тому

    is theta dot equals do dr/dtheta?

    • @rhettallain
      @rhettallain  5 років тому +1

      theta dot is equal to the d(theta)/dt - it's the time rate of change of the angle (the angular velocity).

    • @stephaniex1744
      @stephaniex1744 5 років тому

      Rhett Allain thank you so much!

    • @stephaniex1744
      @stephaniex1744 5 років тому

      Rhett Allain thank you so much!

  • @anurodhkumar2943
    @anurodhkumar2943 5 років тому +1

    How do we know direction of theta hat??

    • @rhettallain
      @rhettallain  5 років тому

      theta-hat is in the direction of increasing theta

    • @anurodhkumar2943
      @anurodhkumar2943 5 років тому

      @@rhettallain yes but i questioned the unit vector of theta in Cartesian co-ordinate. Don't you think it should be perpendicular to the plane of motion? On the same line as for angular velocity.

    • @Anteater23
      @Anteater23 5 років тому

      Anurodh Kumar The direction of theta- hat depends on the position of the particle. Think of the position of a particle on the x-y plane. Now increase theta but the tiniest amount possible. Theta hat is the direction in which our particle moved by changing theta. Just like in Cartesian coordinates, î is the direction in which our particle would move if we changed i.

    • @anurodhkumar2943
      @anurodhkumar2943 5 років тому

      i think you need to refresh your basic physics

    • @Anteater23
      @Anteater23 5 років тому

      Anurodh Kumar Watch this, I hope it helps you. ua-cam.com/video/itidKSUXCMo/v-deo.html

  • @mrrashedali
    @mrrashedali 8 років тому

    do you give tutor service online

  • @davemoregun3332
    @davemoregun3332 3 роки тому

    i wanna go fast....... there's no reason LMAO btw Love from INDIA

  • @PerplexedGibbon
    @PerplexedGibbon Рік тому

    Derivative of r hat 2:52

  • @margarethorowitz4756
    @margarethorowitz4756 3 роки тому

    what the fuck is a theta dot

  • @newton6031
    @newton6031 3 роки тому

    This is so confusing ,i dont get you

  • @mitchellvandoorn2625
    @mitchellvandoorn2625 4 роки тому

    Lekker gewerkt pik

  • @physicsboy3108
    @physicsboy3108 4 роки тому

    😂😂😂

  • @jacobvandijk6525
    @jacobvandijk6525 3 роки тому

    Skip the first 10 seconds. Full of stupidness.