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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
h = 3 m

Water stands 3 m deep against a vertical wall 3 m wide. Find the resultant hydrostatic force F on the wall.

h = 3 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
2.Easy
h = 5 m

Water stands 5 m deep against a vertical wall 1 m wide. Find the resultant hydrostatic force F on the wall.

h = 5 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
3.Medium
gated = 2 mH = 2.5 m

A vertical rectangular gate 3 m wide sits in the wall of a tank of water, with its top edge 2 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 2 mH = 2.5 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
4.Medium
gated = 2.5 mH = 1 m

A vertical rectangular gate 1 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 = 1 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN
5.Hard
gated = 2 mH = 1 m

A vertical rectangular gate 1 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 mb = 1 mρ = 880 kg/m³g = 9.81 m/s²
ycp = m
6.Hard
gated = 1 mH = 1 m

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

d = 1 mH = 1 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²
F = kN

Answer key

  1. 1. F = 132.4 kN
  2. 2. F = 122.6 kN
  3. 3. F = 239.1 kN
  4. 4. F = 29.43 kN
  5. 5. ycp = 2.533 m
  6. 6. F = 29.43 kN

Full step-by-step solutions: practise this topic on examproblems.com.