An upright bucket of water is spun at frequency ω around the vertical axis. If the water is at rest with respect to the bucket, find the shape of the water’s surface.

Question

anonymous · Answer

think I figured this one out got ω^2r^2/2g not sure though

jamesj · Answer

I'm intrigued.  I'll try and figure it out and let you know.

anonymous · Answer

thanks a lot :)

anonymous · Answer

Also, please let me know how you get your answer. I used the Lagrangian method as the water is in a stable state right? But im not sure if Im allowed to do that, or if thats the way I am supposed to find the answer

jamesj · Answer

Here it is. You're right. It is a paraboloid and my intuition wasn't right. http://en.wikipedia.org/wiki/Bucket_argument#Detailed_analysis

anonymous · Answer

yay! sweet :) If you have any ideas on the other questions I posted let me know. The are equally difficult ;)