A trough with a length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by y =1/4x^2 and y = 9, measured in meters. Find the amount of work needed to pump all of the water up and out of a 1 m spout at the top of the trough. the answer is W = 4968ρg J but I don't understand how to solve for it Find the amount of hydrostatic force exerted against one of the parabolic sides due to the hydrostatic pressure of the water. its the same for this answer F =(1296ρg)/5 N

Structural Analysis
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Chapter2: Loads On Structures
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 A trough with a length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by
y =1/4x^2 and y = 9, measured in meters.

Find the amount of work needed to pump all of the water up and out of a 1 m spout at the top of the trough.

the answer is W = 4968ρg J but I don't understand how to solve for it

Find the amount of hydrostatic force exerted against one of the parabolic sides due to the hydrostatic pressure of the water.

its the same for this answer F =(1296ρg)/5 N

 

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