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A tank of water has a gate in its vertical wall. The gate is 4 m high and 3 m wide. The top edge of the gate is 2 m below the surface of water. What is the hydrostatic force on the gate. Take specific weight of water as 10 kN/m3.

A tank of water has a gate in its vertical wall. The gate is 4 m high and 3 m wide. The top edge of the gate is 2 m below the surface of water. What is the hydrostatic force on the gate. Take specific weight of water as 10 kN/m3. Correct Answer 480 kN

Concept:

Hydrostatic force: Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.

F = ρghA

where, ρ = density, g = acceleration due to gravity, h = height from the surface , A = area 

Specific weight: It is the ratio of the weight of the fluid to the volume.

Calculation:

Given:

A = 4 × 3 = 12 m2 , h = 2 + 2 = 4 m , specific weight = ρg = 10 kN/m3

F = ρghA

F = 10 × 4 × 12

F = 480 kN

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