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Fluid ForceForce on a parabolic gate A flat vertical gate
Chapter 6, Problem 41PE(choose chapter or problem)
Problem 41PE
Fluid Force
Force on a parabolic gate A flat vertical gate in the face of a dam is shaped like the parabolic region between the curve y = 4x2 and the line y = 4, with measurements in feet. The top of the gate lies 5 ft below the surface of the water. Find the force exerted by the water against the gate (w = 62.4) .
Questions & Answers
QUESTION:
Problem 41PE
Fluid Force
Force on a parabolic gate A flat vertical gate in the face of a dam is shaped like the parabolic region between the curve y = 4x2 and the line y = 4, with measurements in feet. The top of the gate lies 5 ft below the surface of the water. Find the force exerted by the water against the gate (w = 62.4) .
ANSWER:
Solution
Step 1 of 2
In this problem we have to find the force exerted by the water against the gate.
Given in the problem the parabolic region between the curve and the line ,
And also the gate lies ft below the surface of the water and
We know that