Fluid ForceForce on a parabolic gate A flat vertical gate

Chapter 6, Problem 41PE

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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) .

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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


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