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 = 4 m

Water stands 4 m deep against a vertical wall 2 m wide. Find the resultant hydrostatic force F on the wall.

h = 4 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
2.Easy
h = 5 m

Water stands 5 m deep against a vertical wall. Find the height ȳ above the base at which the resultant force acts.

h = 5 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²
ȳ = m
3.Medium
gated = 0.5 mH = 2.5 m

A vertical rectangular gate 1 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 = 2.5 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
4.Medium
gated = 1.5 mH = 1 m

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

d = 1.5 mH = 1 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
5.Hard
gated = 1 mH = 2.5 m

A vertical rectangular gate 2 m wide sits in the wall of a tank of glycerin, with its top edge 1 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 1 mH = 2.5 mb = 2 mρ = 1260 kg/m³g = 9.81 m/s²
F = kN
6.Hard
gated = 4 mH = 1 m

A vertical rectangular gate 2 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 = 1 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN

Answer key

  1. 1. F = 157 kN
  2. 2. ȳ = 1.667 m
  3. 3. F = 42.92 kN
  4. 4. F = 58.86 kN
  5. 5. F = 139.1 kN
  6. 6. F = 88.29 kN

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