A rectangular water tank has length 20ft, width 10ft, and depth 15ft. If the tank is full, how much work does it take to pump all the water out
2006-10-29 15:40:15 · 4 answers · asked by cmanoos09 1 in Science & Mathematics ➔ Mathematics
Each horizontal layer of water has an associated potential energy change to reach the top of the tank, so something like
integral of density*L*W*g*(H-x)dx from 0 to H
2006-10-29 15:44:27 · answer #1 · answered by arbiter007 6 · 0⤊ 0⤋
It depends, if your pump is floating so that is takes more work to move the waters as the pump descends. If the pump is submerged the whole time then the work is just FXD where d=15 feet and f=ma where m is the mass of water and the a is the acceration due to gravity.
2006-10-30 00:10:44 · answer #2 · answered by Anonymous · 0⤊ 0⤋
You need to come up with an equation for force with respect to the direction in which the water is pumped out.
Then you can use the following equation to solve:
W = Intergrate(F dx)
2006-10-29 23:44:37 · answer #3 · answered by harsh_bkk 3 · 0⤊ 0⤋
About 3 mexicans, and a few 5 gallon buckets
2006-10-29 23:45:01 · answer #4 · answered by Anonymous · 0⤊ 0⤋