- #1
randomcat
- 7
- 0
Homework Statement
A fluid as velocity field F(x, y, z) = (xy, yz, xz). Let C denote the unit circle in the xy-plane. Compute the circulation, and interpret your answer.
Homework Equations
The Attempt at a Solution
Since the unit circle is a closed loop, I assumed that ∫ F * dr = 0
(the ∫ symbol is supposed to have a circle)
However, when I attempt to verify whether or not F = [itex]\nabla[/itex] f, the two are not equal, suggesting that ∫ F * dr does not= 0
At this point I'm at a loss of how to go about calculating the circulation. Could someone please help?