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
12d = 40 mm, v = 3.5 m/sṁ = ?

Glycerin (ρ = 1260 kg/m³) flows at 3.5 m/s through a pipe with an inner diameter of 40 mm. Find the mass flow rate ṁ.

ρ = 1260 kg/m³v = 3.5 m/sd = 40 mm
ṁ = kg/s
2.Easy
12Q = 59 L/sv = 2.5 m/s, d = ?

A water line must carry 59 L/s. To limit noise and wear, the mean velocity should be 2.5 m/s. Find the inner pipe diameter d needed.

Q = 59 L/sv = 2.5 m/s
d = mm
3.Medium
12d1​ = 150 mm, p1​ = 310 kPad2​ = 75 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 150 mm to 75 mm. In the wide section the pressure is 310 kPa and the velocity is 1 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 150 mmd2 = 75 mmp1 = 310 kPav1 = 1 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
12d1​ = 150 mm, p1​ = ?d2​ = 75 mm, p2​ = 150 kPa

Water flows at 30 L/s through a horizontal pipe that narrows from 150 mm to 75 mm. The pressure in the narrow section is 150 kPa. Ignoring losses, find the pressure p1 in the wide section.

Q = 30 L/sd1 = 150 mmd2 = 75 mmp2 = 150 kPaρ = 1000 kg/m³
p1 = kPa
5.Hard
12d1​ = 75 mm, p1​ = 230 kPad2​ = 40 mm, p2​ = ?Δz = 9 m

Water flows up through a pipe that narrows from 75 mm to 40 mm while rising 9 m. At section 1 the pressure is 230 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 40 mmp1 = 230 kPav1 = 0.75 m/sΔz = 9 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 150 mm, p1​ = 300 kPad2​ = 75 mm, p2​ = ?Δz = 9 m

Water flows up through a pipe that narrows from 150 mm to 75 mm while rising 9 m. At section 1 the pressure is 300 kPa and the velocity is 3 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 75 mmp1 = 300 kPav1 = 3 m/sΔz = 9 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. ṁ = 5.542 kg/s
  2. 2. d = 173.3 mm
  3. 3. p2 = 302.5 kPa
  4. 4. p1 = 171.6 kPa
  5. 5. p2 = 138.5 kPa
  6. 6. p2 = 144.2 kPa

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