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​ = 75 mm, v1​ = 1.5 m/sd2​ = 25 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 25 mm in diameter. The velocity in the wide section is 1.5 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 25 mmv1 = 1.5 m/s
v2 = m/s
2.Easy
12d1​ = 75 mm, v1​ = 2.25 m/sd2​ = 50 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 50 mm in diameter. The velocity in the wide section is 2.25 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 50 mmv1 = 2.25 m/s
v2 = m/s
3.Medium
12d1​ = 75 mm, p1​ = 240 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 240 kPa and the velocity is 1.75 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 240 kPav1 = 1.75 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
v = ?p0​pp0​ − p = 31 kPastagnation point

A pitot-static tube in a water pipe reads a difference of 31 kPa between the stagnation pressure and the static pressure. Find the water velocity v at the tip.

p0 − p = 31 kPaρ = 1000 kg/m³
v = m/s
5.Hard
12d1​ = 75 mm, p1​ = 210 kPad2​ = 40 mm, p2​ = ?Δz = 8 m

Water flows up through a pipe that narrows from 75 mm to 40 mm while rising 8 m. At section 1 the pressure is 210 kPa and the velocity is 1.25 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 40 mmp1 = 210 kPav1 = 1.25 m/sΔz = 8 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 100 mm, p1​ = 200 kPad2​ = 50 mm, p2​ = ?Δz = 5 m

Water flows up through a pipe that narrows from 100 mm to 50 mm while rising 5 m. At section 1 the pressure is 200 kPa and the velocity is 3 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 100 mmd2 = 50 mmp1 = 200 kPav1 = 3 m/sΔz = 5 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. v2 = 13.5 m/s
  2. 2. v2 = 5.063 m/s
  3. 3. p2 = 233.8 kPa
  4. 4. v = 7.874 m/s
  5. 5. p2 = 122.6 kPa
  6. 6. p2 = 83.45 kPa

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