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 worksheet Practise 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

Water stands 2.5 m deep against a vertical wall. Find the height ȳ above the base at which the resultant force acts.

h = 2.5 mb = 1 mρ = 1000 kg/m³g = 9.81 m/s²

ȳ = m

2.Easy

Water stands 2.5 m deep against a vertical wall 3 m wide. Find the resultant hydrostatic force F on the wall.

h = 2.5 mb = 3 mρ = 1000 kg/m³g = 9.81 m/s²

F = kN

3.Medium

A vertical rectangular gate 2 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 = 3 mb = 2 mρ = 1000 kg/m³g = 9.81 m/s²

F = kN

4.Medium

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 = 2 mb = 2 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 water, with its top edge 1 m below the surface. Find the depth y_cp of the centre of pressure below the surface.

d = 1 mH = 1.5 mb = 3 mρ = 1000 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 seawater, with its top edge 2.5 m below the surface. Find the resultant hydrostatic force F on the gate.

d = 2.5 mH = 1.5 mb = 3 mρ = 1025 kg/m³g = 9.81 m/s²

F = kN

Answer key

1. ȳ = 0.8333 m
2. F = 91.97 kN
3. F = 264.9 kN
4. F = 196.2 kN
5. y_cp = 1.857 m
6. F = 147.1 kN

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