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
h = 5 m

Water stands 5 m deep against a vertical wall 2 m wide. Find the resultant hydrostatic force F on the wall.

h = 5 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
2.Easy
h = 2 m

Water stands 2 m deep against a vertical wall 1 m wide. Find the resultant hydrostatic force F on the wall.

h = 2 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
3.Medium
gated = 0.5 mH = 2 m

A vertical rectangular gate 2 m wide sits in the wall of a tank of water, with its top edge 0.5 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 0.5 mH = 2 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
4.Medium
gated = 3 mH = 2 m

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 resultant hydrostatic force F on the gate.

d = 3 mH = 2 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
5.Hard
gated = 2 mH = 1.5 m

A vertical rectangular gate 2 m wide sits in the wall of a tank of oil, with its top edge 2 m below the surface. Find the depth ycp of the centre of pressure below the surface.

d = 2 mH = 1.5 mb = 2 mρ = 880 kg/m³g = 9.81 m/s²
ycp = m
6.Hard
gated = 1.5 mH = 2 m

A vertical rectangular gate 3 m wide sits in the wall of a tank of seawater, with its top edge 1.5 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 1.5 mH = 2 mb = 3 mρ = 1025 kg/m³g = 9.81 m/s²
F = kN

Answer key

  1. 1. F = 245.3 kN
  2. 2. F = 19.62 kN
  3. 3. F = 58.86 kN
  4. 4. F = 235.4 kN
  5. 5. ycp = 2.818 m
  6. 6. F = 150.8 kN

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