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​ = 150 mm, v1​ = 0.5 m/sd2​ = 50 mm

Water flows at 0.5 m/s through the wide section of the pipe, which has a diameter of 150 mm. Find the volume flow rate Q.

d1 = 150 mmd2 = 50 mmv1 = 0.5 m/s
Q = L/s
2.Easy
12d1​ = 75 mm, v1​ = 1.25 m/sd2​ = 40 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 40 mm in diameter. The velocity in the wide section is 1.25 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 40 mmv1 = 1.25 m/s
v2 = m/s
3.Medium
12d1​ = 75 mm, p1​ = 120 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 120 kPa and the velocity is 0.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 120 kPav1 = 0.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
d1​ = 80 mmd2​ = 40 mm12p1​ − p2​ = 12 kPaQ = ?

Water flows through a horizontal venturi meter with an inlet diameter of 80 mm and a throat diameter of 40 mm. The pressure at the inlet is 12 kPa higher than at the throat. Ignoring losses, find the flow rate Q.

d1 = 80 mmd2 = 40 mmp1 − p2 = 12 kPaρ = 1000 kg/m³
Q = L/s
5.Hard
12d1​ = 75 mm, p1​ = 380 kPad2​ = 50 mm, p2​ = ?Δz = 10 m

Water flows up through a pipe that narrows from 75 mm to 50 mm while rising 10 m. At section 1 the pressure is 380 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 50 mmp1 = 380 kPav1 = 1.5 m/sΔz = 10 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 100 mm, p1​ = 340 kPad2​ = 50 mm, p2​ = ?Δz = 1 m

Water flows up through a pipe that narrows from 100 mm to 50 mm while rising 1 m. At section 1 the pressure is 340 kPa and the velocity is 1.25 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 100 mmd2 = 50 mmp1 = 340 kPav1 = 1.25 m/sΔz = 1 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. Q = 8.836 L/s
  2. 2. v2 = 4.395 m/s
  3. 3. p2 = 119.5 kPa
  4. 4. Q = 6.358 L/s
  5. 5. p2 = 277.3 kPa
  6. 6. p2 = 318.5 kPa

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