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
v = ?h = 4.5 m

An open water tank drains through a small opening in its side. The free surface is 4.5 m above the opening. Ignoring losses, find the jet velocity v at the opening. Use g = 9.81 m/s².

h = 4.5 mg = 9.81 m/s²
v = m/s
2.Easy
12Q = 23 L/sv = 3 m/s, d = ?

A water line must carry 23 L/s. To limit noise and wear, the mean velocity should be 3 m/s. Find the inner pipe diameter d needed.

Q = 23 L/sv = 3 m/s
d = mm
3.Medium
12d1​ = 75 mm, p1​ = 370 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 370 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 370 kPav1 = 0.75 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
12d1​ = 100 mm, p1​ = 250 kPad2​ = 40 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 100 mm to 40 mm. In the wide section the pressure is 250 kPa and the velocity is 2 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 100 mmd2 = 40 mmp1 = 250 kPav1 = 2 m/sρ = 1000 kg/m³
p2 = kPa
5.Hard
12d1​ = 150 mm, p1​ = 350 kPad2​ = 40 mm, p2​ = ?Δz = 3 m

Water flows up through a pipe that narrows from 150 mm to 40 mm while rising 3 m. At section 1 the pressure is 350 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 40 mmp1 = 350 kPav1 = 0.75 m/sΔz = 3 mρ = 1000 kg/m³
p2 = kPa
6.Hard
pair​ = 100 kPaQ = ?d = 25 mmh = 2 m

A closed water tank has compressed air above the water at a gauge pressure of 100 kPa. Water leaves through an opening with a diameter of 25 mm, 2 m below the water surface, into the open air. Ignoring losses, find the flow rate Q. Use g = 9.81 m/s².

pair = 100 kPa (gauge)h = 2 md = 25 mmρ = 1000 kg/m³g = 9.81 m/s²
Q = L/s

Answer key

  1. 1. v = 9.396 m/s
  2. 2. d = 98.8 mm
  3. 3. p2 = 368.9 kPa
  4. 4. p2 = 173.9 kPa
  5. 5. p2 = 265.2 kPa
  6. 6. Q = 7.593 L/s

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