Cartesian, Polar, Cylindrical, and Spherical Coordinates

Поделиться
HTML-код
  • Опубликовано: 24 дек 2024

Комментарии • 122

  • @BeniSnow
    @BeniSnow 4 года назад +29

    AE501: I'm so impressed by your dedication to making the videos on fairly dry topics as engaging as possible. Love the pvc pipe and cardboard props!

    • @ChristopherLum
      @ChristopherLum  4 года назад +7

      Beni, thanks for the feedback. I try to keep it as interesting as possible. My favorite prop is the dog 😁

    • @muhandez6484
      @muhandez6484 2 года назад

      calculus is dry for those who dont fully understand it

  • @CuongVu-kg9qo
    @CuongVu-kg9qo 3 года назад +8

    This video definitely save me. I'm now studying in an university in Vietnam, this is what i learned yesterday in my first physics class, and it was terrible, I completely didn't understand any word my lecturer said until now i found your video. Thank u so much

  • @mohammadghaziasgar3160
    @mohammadghaziasgar3160 3 года назад +4

    I am lost for words to say thank you, I always had issues for different coordinates and confused, now I get it totally. love you from Iran

  • @NK-iy6if
    @NK-iy6if 3 года назад +5

    Who ever is trying to find atan2(x,y) using a casio calculator, good news you can! Just type shift + on your calculator, then pol( will apear on the screen after that type in your x value, then press shift ) which will type in a comma then type in your y value after the comma and close the brackets, this will give you both the r value and the theta value. Thank God I was able to find this way, and I hope that it helps you. All praise to God the most high!

  • @kabandajamilu9036
    @kabandajamilu9036 3 года назад +2

    The world's best teacher nice explanation

  • @anthonyz2719
    @anthonyz2719 5 лет назад +5

    It has been a while since I touched on how each coordinate system connects to one another. Awesome content, thank you!

  • @michaelrudolf9988
    @michaelrudolf9988 5 лет назад +1

    Good refresher of how to go from one coordinate system to another

  • @sethwhittington28
    @sethwhittington28 4 года назад +11

    AE501: Fantastic review of coordinate systems. I didn't feel lost during this lecture at all, yet still felt like I was learning. Perfectly balanced lecture!

    • @ChristopherLum
      @ChristopherLum  4 года назад +3

      Seth, I'm glad it was helpful, thanks for the feedback!

  • @keyshawnb4845
    @keyshawnb4845 Месяц назад

    AE 501: I will definitely reference this video in the future! Well made and easy to follow when translating to cylindrical, polar, or spherical coordinates.

  • @hshams28
    @hshams28 Год назад +1

    AE501: Really great walkthrough of the coordinate systems, I think it really helps to draw them out (or use props as you did) to get a "feel" for where a point really is; this ends up actually making it really easy to understand the different coordinate systems and how they relate to one another!

  • @vlogwithtanishaa__
    @vlogwithtanishaa__ Год назад +1

    Needed more teachers like this,wonderful.

  • @jakegalleryn6200
    @jakegalleryn6200 5 лет назад +3

    I love your use of props! Very helpful and illustrative.

  • @charlesharmon9065
    @charlesharmon9065 5 лет назад +7

    Great review. I appreciate the clear distinction between the two- and four-quadrant inverse trig functions.

    • @andersonfinnegan8995
      @andersonfinnegan8995 3 года назад

      pro trick: watch series at flixzone. Me and my gf have been using it for watching all kinds of movies these days.

    • @jerichocasey2078
      @jerichocasey2078 3 года назад

      @Anderson Finnegan yea, I've been using flixzone} for years myself :)

    • @israelchristian6683
      @israelchristian6683 3 года назад

      @Anderson Finnegan definitely, have been watching on Flixzone} for since november myself :D

  • @tranpham7120
    @tranpham7120 Год назад +1

    AE501: Pretty much clear. Thanks professor for this video.

  • @randomideas5475
    @randomideas5475 2 года назад +2

    abundance of thanks 👍👍 it was much needed

  • @gandhodithippeswamy1579
    @gandhodithippeswamy1579 3 года назад +1

    Your lecture is so good. From your lecture I got clear idea in which subject spherical coordinates notation is perfect. Thank you so much.

  • @ryoonoue1076
    @ryoonoue1076 3 года назад +3

    AE501. It's pretty easy to get polar coordinates mixed up so I'm glad you've made this video to review. Thanks for the vid Professor

  • @SlowDown369
    @SlowDown369 3 года назад +1

    Unique video if any one want to learn different cordinate system.......

  • @daniellerogers5959
    @daniellerogers5959 5 лет назад +1

    Nice summary of the various coordinate systems.

  • @jenniferjohnson9827
    @jenniferjohnson9827 2 года назад +1

    [AE 501 JENNIFER JOHNSON] This is familiar to me however once it's been a while I could always use a review. Thanks for the review! What is the grey rectangle at the 18:40 time stamp covering your left hand on the board. I have never seen that on a RUclips video.

    • @ChristopherLum
      @ChristopherLum  2 года назад

      Haha, that is me trying to cover up a mistake I wrote on the board. Pretend it isn't there 😊

  • @robertdelossantos1936
    @robertdelossantos1936 5 лет назад +1

    This did an excellent job explaining how spherical coordinates are reached. Hopefully this sticks, but glad to have it as a reference.

  • @ricardoalvarez4976
    @ricardoalvarez4976 3 года назад +1

    YOU ARE AMAZING, INCREDIBLE EXPLAINATION

  • @markmurphy5374
    @markmurphy5374 5 лет назад +5

    Also good discussion at the end about typical conversions from Cartesian to Spherical as I've seen it done that way many times but good to have the proper inverse tangent there.

  • @ericwang161
    @ericwang161 5 лет назад +1

    Thanks for the refresher Dr. Lum!

  • @NK-iy6if
    @NK-iy6if 3 года назад +2

    Thank youuuuu !!!!!!! Very helpful, great video and the model actually helped a ton, I can finally visualize it. God bless you !!!

    • @ChristopherLum
      @ChristopherLum  3 года назад

      Hi NK,
      Thanks for the kind words, I'm glad you enjoyed the video. If the find the these videos to be helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
      -Chris

  • @karlbalitaan
    @karlbalitaan 5 лет назад +1

    This is a helpful video to refresh myself on the other coordinate frames

  • @bobby2636
    @bobby2636 4 года назад +2

    pretty much clear, appreciate for the vivid explanation

  • @natashawang946
    @natashawang946 4 года назад +3

    Thank you for the video! I found this very comprehensive to prepare for my upcoming final.

  • @jesusespinoza2349
    @jesusespinoza2349 5 лет назад +1

    Really appreciate the refresh on coordinate transformation.

  • @cjyoo1410
    @cjyoo1410 5 лет назад +1

    Great lecture on the different ways to represent a coordinate.

  • @KennethWright-k2h
    @KennethWright-k2h 15 дней назад

    AE501: Thank you for reviewing these coordinate systems.

  • @KiranJoshi70
    @KiranJoshi70 4 года назад +2

    Great explanation 👍

  • @fnw100
    @fnw100 3 года назад +1

    This is so helpful. Love the creativity.

  • @garrettdavis4665
    @garrettdavis4665 5 лет назад +2

    Great explanation! Appreciate the visualization for spherical coord

  • @elijahleonen198
    @elijahleonen198 Год назад

    AE501: The physical props were very helpful to understand 3D concepts. Great video!

  • @KingHax001
    @KingHax001 3 года назад +2

    hey can you please include a link for the notes you used ? would appreciate it.

    • @ChristopherLum
      @ChristopherLum  3 года назад +1

      Thanks for reaching out, I'm glad you enjoyed the video. I have lecture notes and other content available to Patreon subscribers. I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!

  • @renowhitcomb5505
    @renowhitcomb5505 4 года назад +1

    AE 501 Fall 2020. Thank you for the helpful video.

  • @mitchellnakaki7900
    @mitchellnakaki7900 5 лет назад +1

    another helpful video, very much like the flexibility these videos offer

  • @jasondorn3514
    @jasondorn3514 5 лет назад +1

    Thanks for the video. Great refresher

  • @matthewbajamundi8774
    @matthewbajamundi8774 5 лет назад +1

    Really great video to help me distinguish different coordinate systems.

  • @sivam3558
    @sivam3558 3 года назад +1

    Super sir.. good explanation

  • @minaanderberg884
    @minaanderberg884 5 лет назад +3

    Thanks for the great review video, been a while since I was converting between these coordinate systems.

  • @abhishekv8815
    @abhishekv8815 4 года назад +1

    please provide the link of the video about atan2 function that you are mentioning in this video

    • @ChristopherLum
      @ChristopherLum  4 года назад +1

      Abhishek, please make sure you are subscribed with notifications on. The atan2 video is going live on Monday (Sept. 7).

    • @abhishekv8815
      @abhishekv8815 4 года назад

      @@ChristopherLum ok thanks

    • @aliaatarek7106
      @aliaatarek7106 Год назад

      @@ChristopherLum could you provide the link?

  • @Icywings-v1b
    @Icywings-v1b Год назад +1

    How to compute 2tan(x,y)
    Shift is not working

  • @SumanMandal-fb6vu
    @SumanMandal-fb6vu 2 года назад +1

    Well explained sir

    • @ChristopherLum
      @ChristopherLum  2 года назад +1

      Hi Suman,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
      -Chris

  • @sunnysarkar7643
    @sunnysarkar7643 2 года назад +1

    AE501: I thought the pvc pipe was super helpful with the visualization. Also seeing your work in mathematica is helpful because I am not too familiar with the software.

  • @Lee_Carl
    @Lee_Carl 4 года назад +1

    your explanation is very wonderful, thank you from Iraq

  • @markmurphy5374
    @markmurphy5374 5 лет назад +1

    The difference between atan and atan2 is 180 degrees in quadrant 2 and 3 right? I think I'm remembering that correctly?

  • @mansooralam2939
    @mansooralam2939 3 года назад +1

    Thanks for great review vedio.
    Love from 🇵🇰

  • @Sam-b9x6k
    @Sam-b9x6k 3 месяца назад

    36:55 The constraints on phi are giving me some trouble. Won't -pi/2 to pi/2 just cover the positive z axis, i.e. the points starting from the x-y planes and going up in the positive z direction. Would we be able to describe points in the negative z hemisphere if we were to apply these constraints? To me 0 to pi makes sense. -pi/2 to pi/2 is giving some trouble. Can anyone please explain?

  • @paulpietrowicz3916
    @paulpietrowicz3916 2 года назад +1

    AE501 Good lecture to keep available to review different coordinate types and moving between them

  • @Tamanaaaa1
    @Tamanaaaa1 Месяц назад

    AE 501: thank you for this great video!

  • @Richard_Le
    @Richard_Le Год назад

    AE501 What are the advantages of using a spherical or cylindrical coordinate system over Cartesian coordinates? It's same result but with the additional complexity of dealing with angles.

  • @LilanieAlfredaAbdur-Rahman
    @LilanieAlfredaAbdur-Rahman Месяц назад

    AE501: Thanks Again for the refresher

  • @joeypadua867
    @joeypadua867 3 года назад +2

    Great vid!!!

    • @ChristopherLum
      @ChristopherLum  3 года назад

      I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

  • @jefrymatusala.d9118
    @jefrymatusala.d9118 4 года назад +1

    Sir, what coordinate for mercator map ?

  • @christophersanchez2256
    @christophersanchez2256 5 лет назад +1

    Thanks for the refresher!

  • @quangvu998
    @quangvu998 4 года назад +1

    Ae501. Thank you. Very helpful video. Great refresher!!!

  • @alisoncaprioli4861
    @alisoncaprioli4861 5 лет назад +1

    Great review video!

  • @SScook206
    @SScook206 5 лет назад +1

    Very helpful. Thanks Chris.

  • @AstroBrindan
    @AstroBrindan Год назад

    Wow, it was this simple all along 🔥

  • @ddhakhwa
    @ddhakhwa Месяц назад

    AE501 - Nice refresher on this topic

  • @joewalker5753
    @joewalker5753 5 лет назад +1

    good refresher

  • @masontelander3847
    @masontelander3847 5 лет назад +1

    Great video

  • @yasirmathematicsacademy2155
    @yasirmathematicsacademy2155 4 года назад +1

    Please need a Conersion of heat equation from cartesian cordinates into polar cylindrical co ordinates

  • @shannonharper2460
    @shannonharper2460 3 года назад +1

    Very clear thank you!

  • @kashii359
    @kashii359 16 дней назад

    You are a lifesaver , really

  • @brentpaul7650
    @brentpaul7650 5 лет назад +1

    Nice video Professor. I am here so i dont get fined

  • @jonathonlaird6279
    @jonathonlaird6279 5 лет назад +1

    Thanks for the video.

  • @dipankarpurecha5564
    @dipankarpurecha5564 Год назад

    Thanks a lot for the video, it made everything very clear. You have a very nice and clear way of teaching, I really liked the engineering gang signs joke as well.

    • @ChristopherLum
      @ChristopherLum  Год назад

      Hi,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching!
      -Chris

  • @davedesmond1574
    @davedesmond1574 5 лет назад +1

    great review

  • @jacobgivens2000
    @jacobgivens2000 Месяц назад

    AE501, The props really helped thank you for the visuals.

    • @ChristopherLum
      @ChristopherLum  Месяц назад

      The props are a lot of fun to build, right?

  • @RajChhabraUW
    @RajChhabraUW Год назад +1

    AE501: It would be helpful to me to see the derivation of transformation from Cartesian to Spherical by hand instead of just through Mathematica

  • @gurjeetjaggi8316
    @gurjeetjaggi8316 5 лет назад +1

    Great Review.

  • @nubbhkejriwal383
    @nubbhkejriwal383 3 года назад +1

    i dont get it how you are getting a single value in your calculator with 2 inputs in tan (y,x)

    • @ChristopherLum
      @ChristopherLum  3 года назад

      Thanks for reaching out. If you have questions or would like to request a video, please consider supporting the channel via Patreon at www.patreon.com/christopherwlum. I interact personally with Patrons at all levels. Thanks for watching!

    • @Icywings-v1b
      @Icywings-v1b Год назад

      Pls reply

  • @themaninblack1316
    @themaninblack1316 6 месяцев назад

    11:57 Put a smile on my face😆

  • @melissawells8133
    @melissawells8133 5 лет назад +1

    Good discussion, thank you!

  • @derekwflett
    @derekwflett 5 лет назад +1

    Good video

  • @manusego
    @manusego 5 лет назад +1

    Lot of thanks, 👏.Could you explain the look angles (azimuth and elevation) from a point (for example, a satellite) and the transformation if these into cartesian coordinates? Thanks in advance👍.

    • @ChristopherLum
      @ChristopherLum  5 лет назад

      Can you provide more information? Are you looking for how to translate between the different coordinate systems?

    • @manusego
      @manusego 5 лет назад +1

      @@ChristopherLum Exactely. I would like to know how to translate the position of a satellite orbiting the Earth expressed by the coordinates [Azimuth, Elevation] into the rectangular coordinates [x(t), y(t), z(t)].
      Thanks in advance teacher. 👍

  • @kega4062
    @kega4062 2 года назад +1

    thank! you!!!!!!

  • @gordonlim2322
    @gordonlim2322 3 года назад +1

    35:21 Coordinates in polar/cylindrical/spherical are not unique

  • @trevorubrown
    @trevorubrown 5 лет назад +1

    Wow great vid

  • @dbharathi2003
    @dbharathi2003 9 месяцев назад

    Awesome energy

  • @notatoyotacamry195
    @notatoyotacamry195 5 лет назад +1

    Hey! This was a wonderful explanation, and I didn't even know about four-quadrant functions! That said, when it comes to transforming from Cartesian to spherical, does it not work the same if you eliminated the sqrt(x^2 + y^2) and the sqrt(x^2 + y^2 + z^2) denominators? Since this is a common factor of both components, I think atan2 will still produce the same angle.

  • @madhuradeshpande8082
    @madhuradeshpande8082 4 года назад +2

    Thanks a lot

    • @ChristopherLum
      @ChristopherLum  4 года назад

      I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

  • @raresr4282
    @raresr4282 4 года назад +1

    thanks

  • @lght6311
    @lght6311 3 года назад +1

    i love you man seriously saved my ass

  • @thomasireson1427
    @thomasireson1427 5 лет назад +1

    Didn't remember much in the way of spherical coordinates.

  • @ayouboularbi9681
    @ayouboularbi9681 3 года назад +1

    sir how is cos(pi/2 - phi) = sin(phi) instead of -sin(phi)
    well we know that cos(pi/2 - theta) = cos(pi/2).cos(theta) - sin(pi/2).sin(theta)
    that gives us 0.cos(theta) - (1.sin(theta))
    which equals minus sin(theta)
    -sin(theta .
    that's confusing haha)

    • @tharun_017
      @tharun_017 3 года назад

      Sorry but that's a wrong formula you're using to check it
      The right one is
      Cos (A - B) = (Cos A • Cos B) +(Sin A • Sin B)

  • @CodySmith
    @CodySmith Месяц назад

    AE501, Cody Smith.

  • @weiyuyang6218
    @weiyuyang6218 Год назад

    that saved my life

    • @ChristopherLum
      @ChristopherLum  Год назад

      Hi,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching!
      -Chris

  • @ahmetboran873
    @ahmetboran873 2 года назад

    ELHAMDULİLLAH MAŞA ALLAH. ALLAH U EKBER.

  • @ibbiest
    @ibbiest 3 года назад

    13:55

  • @quratulainkhan6273
    @quratulainkhan6273 3 года назад

    Ap plz apni videos ko urdu ma convert kr k bi smjaa diya krain.....

  • @aliaatarek7106
    @aliaatarek7106 Год назад

    ruclips.net/video/UWrkh_N1bfE/видео.html
    this the video for the quadrant tangent if anyone was looking for