What is the velocity vector in polar coordinates?

Classical Mechanics
What is the velocity in polar coordinates. Remember that you have to take derivatives of the r-hat and theta-hat unit vectors too.
Remember dot notation for derivatives
• Review of Newton's sec...

[@animeBHARATIYA]

My mechanics exam in 3 hours and you have saved me

[@SchizoFriendNick]

Beautifully done! I'd love to see more of these videos :)

[@pythonanimalia]

This is great. I never really took derivative of unit vector into consideration.

[@markkennedy9767]

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.

[@alvinvijay5707]

That's amazing broo

[@zarlishkhan2548]

Your way of method is nice good explained

[@doozybrat]

Thanks man! Nicely explained. I remember the high school days now

[@scar6073]

Nicely explained

[@joyia.1]

You nailed it sir. I also cleared my concept about normal and tangential acceleration. I was seeking the derivative of unit vector using calculus but you solved it using simple trigonometry. Hats off to you sir.

[@yamanbirla7111]

Thanks man that's a really helpful information

[@gottod6895]

Thank you very much man

[@cristig243]

check for fi= pi/4= 45 deg => r = cosfi x +sinfi y = 0.7 x + 0.7 y. If x=1, y=1 => r= 1.4. Is something wrong with this formula ?

[@steffennielsen3304]

You lost me around 7.32 when "unit vectors are constant “. Was the whole reason for the video, that they were not? Edit: really great explanation though!

[@angelinasamuel4575]

But you said the unit vectors in polar cordinate are not constant