Continuity & Bernoulli worksheet with answers

Free printable Continuity & Bernoulli 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
12Q = 38 L/sv = 1 m/s, d = ?

A water line must carry 38 L/s. To limit noise and wear, the mean velocity should be 1 m/s. Find the inner pipe diameter d needed.

Q = 38 L/sv = 1 m/s
d = mm
2.Easy
12Q = 58 L/sv = 2.5 m/s, d = ?

A water line must carry 58 L/s. To limit noise and wear, the mean velocity should be 2.5 m/s. Find the inner pipe diameter d needed.

Q = 58 L/sv = 2.5 m/s
d = mm
3.Medium
d1​ = 100 mmd2​ = 60 mm12p1​ − p2​ = 51 kPaQ = ?

Water flows through a horizontal venturi meter with an inlet diameter of 100 mm and a throat diameter of 60 mm. The pressure at the inlet is 51 kPa higher than at the throat. Ignoring losses, find the flow rate Q.

d1 = 100 mmd2 = 60 mmp1 − p2 = 51 kPaρ = 1000 kg/m³
Q = L/s
4.Medium
12d1​ = 75 mm, p1​ = 100 kPad2​ = 25 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 75 mm to 25 mm. In the wide section the pressure is 100 kPa and the velocity is 1 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 25 mmp1 = 100 kPav1 = 1 m/sρ = 1000 kg/m³
p2 = kPa
5.Hard
12d1​ = 75 mm, p1​ = 290 kPad2​ = 25 mm, p2​ = ?Δz = 2 m

Water flows up through a pipe that narrows from 75 mm to 25 mm while rising 2 m. At section 1 the pressure is 290 kPa and the velocity is 1 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 25 mmp1 = 290 kPav1 = 1 m/sΔz = 2 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 150 mm, p1​ = 220 kPad2​ = 100 mm, p2​ = ?Δz = 1 m

Water flows up through a pipe that narrows from 150 mm to 100 mm while rising 1 m. At section 1 the pressure is 220 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 100 mmp1 = 220 kPav1 = 0.75 m/sΔz = 1 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. d = 220 mm
  2. 2. d = 171.9 mm
  3. 3. Q = 30.61 L/s
  4. 4. p2 = 60 kPa
  5. 5. p2 = 230.4 kPa
  6. 6. p2 = 209 kPa

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