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
12d1​ = 200 mm, v1​ = 1 m/sd2​ = 100 mm

Water flows at 1 m/s through the wide section of the pipe, which has a diameter of 200 mm. Find the volume flow rate Q.

d1 = 200 mmd2 = 100 mmv1 = 1 m/s
Q = L/s
2.Easy
12Q = 32 L/sv = 2 m/s, d = ?

A water line must carry 32 L/s. To limit noise and wear, the mean velocity should be 2 m/s. Find the inner pipe diameter d needed.

Q = 32 L/sv = 2 m/s
d = mm
3.Medium
12d1​ = 75 mm, p1​ = 330 kPad2​ = 50 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 75 mm to 50 mm. In the wide section the pressure is 330 kPa and the velocity is 2.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 330 kPav1 = 2.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
12d1​ = 150 mm, p1​ = ?d2​ = 100 mm, p2​ = 210 kPa

Water flows at 22 L/s through a horizontal pipe that narrows from 150 mm to 100 mm. The pressure in the narrow section is 210 kPa. Ignoring losses, find the pressure p1 in the wide section.

Q = 22 L/sd1 = 150 mmd2 = 100 mmp2 = 210 kPaρ = 1000 kg/m³
p1 = kPa
5.Hard
12d1​ = 150 mm, p1​ = 290 kPad2​ = 75 mm, p2​ = ?Δz = 7 m

Water flows up through a pipe that narrows from 150 mm to 75 mm while rising 7 m. At section 1 the pressure is 290 kPa and the velocity is 0.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 75 mmp1 = 290 kPav1 = 0.5 m/sΔz = 7 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 150 mm, p1​ = 320 kPad2​ = 100 mm, p2​ = ?Δz = 9 m

Water flows up through a pipe that narrows from 150 mm to 100 mm while rising 9 m. At section 1 the pressure is 320 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 100 mmp1 = 320 kPav1 = 1.5 m/sΔz = 9 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. Q = 31.42 L/s
  2. 2. d = 142.7 mm
  3. 3. p2 = 317.3 kPa
  4. 4. p1 = 213.1 kPa
  5. 5. p2 = 219.5 kPa
  6. 6. p2 = 227.1 kPa

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