A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of $x^2$ from -1 to 1 . The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.
A trough is 3 feet long and 1 foot high. The trough is full of water...
2
$\begingroup$
calculus
integration
physics
-
0A trough in the shape of a parabolic prism? Seems pretty far-fetched to me. I think your teacher is pulling your leg. – 2012-09-29
-
0@MJD Calculus makes that not an issue. – 2012-09-29
-
0I want to know what jerk-ass farmer is watering his livestock out of a parabolic trough. Everyone knows that cattle drink optimally from catenaries. – 2012-09-29