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
12d1​ = 100 mm, v1​ = 2.75 m/sd2​ = 50 mm, v2​ = ?

Water flows through a pipe that narrows from 100 mm to 50 mm in diameter. The velocity in the wide section is 2.75 m/s. Find the velocity v2 in the narrow section.

d1 = 100 mmd2 = 50 mmv1 = 2.75 m/s
v2 = m/s
3.Medium
12d1​ = 200 mm, p1​ = ?d2​ = 150 mm, p2​ = 110 kPa

Water flows at 31 L/s through a horizontal pipe that narrows from 200 mm to 150 mm. The pressure in the narrow section is 110 kPa. Ignoring losses, find the pressure p1 in the wide section.

Q = 31 L/sd1 = 200 mmd2 = 150 mmp2 = 110 kPaρ = 1000 kg/m³
p1 = kPa
4.Medium
v = ?p0​pp0​ − p = 800 Pastagnation point

A pitot-static tube in a wind tunnel reads a difference of 800 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.

p0 − p = 800 Paρ = 1.2 kg/m³
v = m/s
5.Hard
12d1​ = 150 mm, p1​ = 230 kPad2​ = 75 mm, p2​ = ?Δz = 8 m

Water flows up through a pipe that narrows from 150 mm to 75 mm while rising 8 m. At section 1 the pressure is 230 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 75 mmp1 = 230 kPav1 = 1.5 m/sΔz = 8 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 75 mm, p1​ = 280 kPad2​ = 50 mm, p2​ = ?Δz = 2 m

Water flows up through a pipe that narrows from 75 mm to 50 mm while rising 2 m. At section 1 the pressure is 280 kPa and the velocity is 1.25 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 50 mmp1 = 280 kPav1 = 1.25 m/sΔz = 2 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. Q = 31.42 L/s
  2. 2. v2 = 11 m/s
  3. 3. p1 = 111.1 kPa
  4. 4. v = 36.51 m/s
  5. 5. p2 = 134.6 kPa
  6. 6. p2 = 257.2 kPa

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