GATE CE 2026 Set 2 — Question 53
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Water Resources Engineering → Fluid Properties & Statics → Hydrostatic Forces
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Question
The cross section of a wide vertical gate holding water and oil is shown in the figure. The unit weights of water and oil are and , respectively.
The horizontal hydrostatic force (in kN) acting on the vertical gate is _________ (rounded off to two decimal places).
Correct answer
4.75 to 5
Solution
The total horizontal hydrostatic force is the sum of the forces acting on the oil and water sections of the gate.1. Force on the oil section ():
Height of oil , unit weight , width .
Pressure at the top (): .
Pressure at the oil-water interface (): .2. Force on the water section ():
Height of water , unit weight .
Pressure at the bottom (): .3. Total horizontal force ():Rounding off to two decimal places, the force is .
Height of oil , unit weight , width .
Pressure at the top (): .
Pressure at the oil-water interface (): .2. Force on the water section ():
Height of water , unit weight .
Pressure at the bottom (): .3. Total horizontal force ():Rounding off to two decimal places, the force is .
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