Hi Guys~ I was wondering if anyone had any suggestions for applications of the Kelvin-Stokes Theorem. Recall that the Kelvin-Stokes Theorem states: http://upload.wikimedia.org/math/0/4/4/04402b2d910114267bffa0e030445af6.png (Check Wikipedia for further explanation) Obviously one could apply this in it's most basic form to calculate the work done upon a particle moving through a vector field in ℝ3. But I'm looking for some "weirder" problems. i.e. Imagine a tilted Ferris wheel rotating on the Earth. You want to calculate the work done by gravity on the Ferris wheel. The Ferris wheel is a closed path so Stokes' theorem holds. Something of that nature. Anyone have any suggestions on how to go about a problem like this ^? or any other problem that you may know of relating to this. Thank you, Physics-Pure P.S. This is not homework related, purely for fun.