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!
you all probably dont care at all but does anybody know a way to get back into an instagram account..? I was stupid forgot my login password. I would love any tips you can offer me
@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.
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...
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.
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 ???
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.
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
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
What a whimpy explanation of the derivative of dr/dt. If you don't want to go through the step when teaching because maybe you're to damn cool to help the viewer what the heck you're doing, then you have no business doing this work, it is a waste of the viewers time, because now we are forced, to find some other channel, where they actually go through the steps and thus save us from making our own assumptions. I'm sure there is a dishwasher position for you somewhere in America, but if you skip steps there too, your dishes might not come out clean.
@@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.
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.
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!
you all probably dont care at all but does anybody know a way to get back into an instagram account..?
I was stupid forgot my login password. I would love any tips you can offer me
@Edwin Robert instablaster ;)
@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.
@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
@Edwin Robert no problem :D
Damn, this was super helpful and saved me hours of browsing through internet.
Thank you so much, Finally found the answer of my question after a month desperately trying.
The proof my professor used was complete crap. I loved this! thank u!
Thank you so much, you explain so much better than my professor
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...
I am from india and I find this question. Finally the question is meet to our channel.
So thank you so much sir 🙏🏻🙏🏻🙏🏻
very nice video and well explained.
Well done sir
thank u so much i could finally understand it properly 💗 you're cool
What a great explanation !
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.
thank u so much sir for this leacture love from Pakistan🥰
hey!!
u explained it really nice. u could clearly deliver what my lecturer could not do in 1 hour!!!!
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 ???
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.
FINALLY, THANK YOU PROFESSOR
Thanks, it was very helpful ❤❤
Very well structured explanation !
Thank God I got it Sir please make a video on acceleration in polar coordinates please please please
why is 𝗿 not taken as ?
Sir why didn't you take theta angle towards z direction? And why we are taking theta in z direction in circular motion??
Thank so much for this - a really clear explanation
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
Nice video, finally I know the reasoning behind the time derivative of radius unit vector, thanks :)
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
Wonderful
so much better than my lecturer thank you sir
good explanation. It helps a lot. thank you
Thank you, this is a much better explanation than my crap textbook
Wow, amazing!
Great video, I found it very helpful, thank you very much!!
greatly explained !
Beauty
Tnx alot sir. Form srilanka
Why is this not *only* the velocity in the r direction.
awsm explaination sir
thanx for that
THANK YOU SO MUCH
That was brilliant☺
Derivative of r hat 2:52
You are a god. Thank you!!
How can I find the distance between line and point in polar coordinate
Thank you so much!
Can someone explain where
r hat = x hat costheta + y hat sintheta comes from
THANKS SO MUCH
thnx from india
THANK YOU
how u got negative in tangential component
Thank you
super helpful!!!
i wanna go fast....... there's no reason LMAO btw Love from INDIA
is theta dot equals do dr/dtheta?
theta dot is equal to the d(theta)/dt - it's the time rate of change of the angle (the angular velocity).
Rhett Allain thank you so much!
Rhett Allain thank you so much!
genius thank you
Thanks a lot
Thank you!!!
What is y cap here
Holy shit!! This was such a mindfuck ..... Thank you!
thank u sir....
Thanks
do you give tutor service online
what the fuck is a theta dot
This is so confusing ,i dont get you
Lekker gewerkt pik
Translated that is: " Good job, 'Dick' "
😂😂😂
Skip the first 10 seconds. Full of stupidness.
What a whimpy explanation of the derivative of dr/dt. If you don't want to go through the step when teaching because maybe you're to damn cool to help the viewer what the heck you're doing, then you have no business doing this work, it is a waste of the viewers time, because now we are forced, to find some other channel, where they actually go through the steps and thus save us from making our own assumptions. I'm sure there is a dishwasher position for you somewhere in America, but if you skip steps there too, your dishes might not come out clean.
How do we know direction of theta hat??
theta-hat is in the direction of increasing theta
@@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.
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.
i think you need to refresh your basic physics
Anurodh Kumar Watch this, I hope it helps you. ua-cam.com/video/itidKSUXCMo/v-deo.html