A pipe has a square cross section and a width of 2.00 m and is used to transport salt water from the ocean into a desalination plant. If a pump pushing the water into the pipe at a depth of 1.00 m below the surface of the ocean does so with a pressure of 80 kP a, and the dimensions of the pipe doesn’t change, what is the pressure in the pipe when it gets into the plant at a height of 5.00 m above the surface of the ocean?
P1+1/2p*v^2 + pgy = P2 + 1/2p*v^2 + pgy
P_2 = P_1 + p*g*(y_1 - y_2)[/B]
p_saltwater = 1030 kg/m^3
The Attempt at a Solution
P_2 = P_1 - p*g*(4)
= 80000 + (1030)(9.81)(4) = 39582.8 [/B]