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Answer:
The Hydrostatic force is
The location of pressure center is
Explanation:
From the question we are told that
The height of the gate is
The weight of the gate is
The height of the water is
The density of water is
Note used for height of water and height of gate immersed by water since both have the same value
The area of the gate immersed in water is mathematically represented as
substituting values
The hydrostatic force is mathematically represented as
Where
So
The center of pressure is mathematically represented as
Where is the moment of inertia of the gate which mathematically represented as
The is the height of gate immersed in water
Thus