Hydrostatic force worksheet with answers

Free printable Hydrostatic force worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

Water stands 6 m deep against a vertical wall 4 m wide. Find the resultant hydrostatic force F on the wall.

h = 6 mb = 4 mρ = 1000 kg/m³g = 9.81 m/s²

F = kN

2.Easy

Water stands 2 m deep against a vertical wall. Find the height ȳ above the base at which the resultant force acts.

h = 2 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²

ȳ = m

3.Medium

A vertical rectangular gate 1 m wide sits in the wall of a tank of water, with its top edge 4 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 4 mH = 3 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²

F = kN

4.Medium

A vertical rectangular gate 1.5 m wide sits in the wall of a tank of water, with its top edge 2.5 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 2.5 mH = 2 mb = 1.5 mρ = 1000 kg/m³g = 9.81 m/s²

F = kN

5.Hard

A vertical rectangular gate 3 m wide sits in the wall of a tank of glycerin, with its top edge 2.5 m below the surface. Find the depth y_cp of the centre of pressure below the surface.

d = 2.5 mH = 1.5 mb = 3 mρ = 1260 kg/m³g = 9.81 m/s²

y_cp = m

6.Hard

A vertical rectangular gate 3 m wide sits in the wall of a tank of water, with its top edge 3 m below the surface. Find the depth y_cp of the centre of pressure below the surface.

d = 3 mH = 1.5 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²

y_cp = m

Answer key

1. F = 706.3 kN
2. ȳ = 0.6667 m
3. F = 161.9 kN
4. F = 103 kN
5. y_cp = 3.308 m
6. y_cp = 3.8 m

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