Math Shape of The Trapezoidal & Hydrostatic Pressure Question

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WORKSHEET No.20
Due on May 30 (11:59pm)
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A dam has the shape of the trapezoidal shown in the figure. The height is 20m, and the width is 50m
at the top, and 30m at the bottom. Find the force on the dam due to hydrostatic pressure if the water
kg
level is 4m from the top of the dam. (The density of water is 1000 3 .)
m
(a) Find each of the followings:
The length of the ith strip:
li =
The area of the ith strip:
Ai =
The pressure on the ith strip:
Pi
The hydrostatic force acting on the ith strip:
Fi =
(b) Find the hydrostatic force on the dam. Set up the integral but Do Not evaluate it.

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Tags:
center of pressure

hydrostatic force

hydrostatic pressure

shape of the trapezoidal

length of the ith strip

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