Velocity in Polar Coordinates

Рет қаралды 98,854

Rhett Allain

9 жыл бұрын

Derivation of the velocity in terms of polar coordinates with unit vectors r-hat and theta-hat

Пікірлер: 82

@amonkeywall 5 жыл бұрын

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!

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@Edwin Robert no problem :D

@jibran6635 4 жыл бұрын

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

@amenehgharabi2414 4 жыл бұрын

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

@radekfolprecht5493 3 жыл бұрын

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

@SerdceDikarya199 3 жыл бұрын

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

@caposolomon8745 3 жыл бұрын

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

@mohammedmhilal4129 4 жыл бұрын

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

@mannathugopikrishnan9299 3 жыл бұрын

Very well structured explanation !

@9498mg 5 жыл бұрын

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.

@monicapym8948 3 жыл бұрын

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

@berniedolan5840 Жыл бұрын

Thank so much for this - a really clear explanation

@studentsallies Жыл бұрын

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

@Mephora 6 ай бұрын

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...

@dheyaamz5517 6 жыл бұрын

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

@muhammadqurban102 5 жыл бұрын

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

@yoyotang-vz1tp 5 жыл бұрын

good explanation. It helps a lot. thank you

@Alexruah6699 7 жыл бұрын

how u got negative in tangential component

@lokeshverma5902 6 жыл бұрын

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 ???

@kikihope 2 жыл бұрын

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

@fizzybubblyify 7 жыл бұрын

so much better than my lecturer thank you sir

@gaaraofddarkness 3 жыл бұрын

why is 𝗿 not taken as ?

@rmsvideos1335 6 жыл бұрын

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

@alfunzo Жыл бұрын

What a great explanation !

@benbrahimilias426 7 жыл бұрын

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

@pdeteresa 6 жыл бұрын

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

@sonuanshu6051 7 жыл бұрын

awsm explaination sir thanx for that

@markkennedy9767 4 ай бұрын

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.

@NateRiver-ph9co 3 жыл бұрын

FINALLY, THANK YOU PROFESSOR

@NickLaoutaris Жыл бұрын

very nice video and well explained.

@aryankhan-pe2ip 2 жыл бұрын

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

@yasithgamage 6 жыл бұрын

greatly explained !

@lkusrgksfdjgfdjkh 3 жыл бұрын

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

@parisanasiri-li8ut 29 күн бұрын

Thanks, it was very helpful ❤❤

@sombal1999 6 жыл бұрын

Thank you so much!

@unmoveablepenguin 4 жыл бұрын

That was brilliant☺

@korlapatihemanth439 3 жыл бұрын

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

@ninjaman7123 2 жыл бұрын

THANK YOU SO MUCH

@ASHRAFKHAN-ix7ie 2 жыл бұрын

Well done sir

@MrVHI123 7 жыл бұрын

You are a god. Thank you!!

@akshitkumar9402 3 жыл бұрын

THANKS SO MUCH

@memyselfandi4109 3 жыл бұрын

super helpful!!!

@conceptuallearningforiitje9738 4 жыл бұрын

Beauty

@eladabudi2408 4 жыл бұрын

Thank you!!!

@adityaadhikaric-2105 3 жыл бұрын

Wonderful

@suhailawm 3 жыл бұрын

Tnx alot sir. Form srilanka

@Dm-ni7ti 3 жыл бұрын

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 4 жыл бұрын

What is y cap here

@joebestonthemoon 4 жыл бұрын

THANK YOU

@lezliebeans5639 4 жыл бұрын

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

@imadboutaghane2870 3 жыл бұрын

Thank you

@kairiannah 3 жыл бұрын

genius thank you

@vaibhavbhatt3366 7 жыл бұрын

thank u sir....

@chandrashekhar-oq8io 3 жыл бұрын

Thanks a lot

@joshuagrahm3607 5 жыл бұрын

thank you

@ayushpanwar1005 4 жыл бұрын

thnx from india

@stephaniex1744 5 жыл бұрын

is theta dot equals do dr/dtheta?

@rhettallain 5 жыл бұрын

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

@stephaniex1744 5 жыл бұрын

Rhett Allain thank you so much!

@stephaniex1744 5 жыл бұрын

Rhett Allain thank you so much!

@wefeelking69 2 жыл бұрын

Nyc

@tshipmatic 4 жыл бұрын

Wow, amazing!

@kunaldas879 5 жыл бұрын

Thanks

@anurodhkumar2943 5 жыл бұрын

How do we know direction of theta hat??

@rhettallain 5 жыл бұрын

theta-hat is in the direction of increasing theta

@anurodhkumar2943 5 жыл бұрын

@@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 5 жыл бұрын

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 5 жыл бұрын

i think you need to refresh your basic physics

@Anteater23 5 жыл бұрын

Anurodh Kumar Watch this, I hope it helps you. kzfaq.info/get/bejne/n9qZl66Eur6nfaM.html