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​ = 1.5 m/sd2​ = 100 mm, v2​ = ?

Water flows through a pipe that narrows from 150 mm to 100 mm in diameter. The velocity in the wide section is 1.5 m/s. Find the velocity v2 in the narrow section.

d1 = 150 mmd2 = 100 mmv1 = 1.5 m/s
v2 = m/s
2.Easy
12d1​ = 75 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 75 mm. Find the volume flow rate Q.

d1 = 75 mmd2 = 50 mmv1 = 0.5 m/s
Q = L/s
3.Medium
12d1​ = 150 mm, p1​ = ?d2​ = 100 mm, p2​ = 80 kPa

Water flows at 35 L/s through a horizontal pipe that narrows from 150 mm to 100 mm. The pressure in the narrow section is 80 kPa. Ignoring losses, find the pressure p1 in the wide section.

Q = 35 L/sd1 = 150 mmd2 = 100 mmp2 = 80 kPaρ = 1000 kg/m³
p1 = kPa
4.Medium
v = ?p0​pp0​ − p = 500 Pastagnation point

A pitot-static tube in a wind tunnel reads a difference of 500 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.

p0 − p = 500 Paρ = 1.2 kg/m³
v = m/s
5.Hard
12d1​ = 150 mm, p1​ = 140 kPad2​ = 75 mm, p2​ = ?Δz = 5 m

Water flows up through a pipe that narrows from 150 mm to 75 mm while rising 5 m. At section 1 the pressure is 140 kPa and the velocity is 2 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 75 mmp1 = 140 kPav1 = 2 m/sΔz = 5 mρ = 1000 kg/m³
p2 = kPa
6.Hard
pair​ = 70 kPav = ?d = 30 mmh = 2.5 m

A closed water tank has compressed air above the water at a gauge pressure of 70 kPa. Water leaves through an opening with a diameter of 30 mm, 2.5 m below the water surface, into the open air. Ignoring losses, find the jet velocity v. Use g = 9.81 m/s².

pair = 70 kPa (gauge)h = 2.5 md = 30 mmρ = 1000 kg/m³g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v2 = 3.375 m/s
  2. 2. Q = 2.209 L/s
  3. 3. p1 = 87.97 kPa
  4. 4. v = 28.87 m/s
  5. 5. p2 = 60.95 kPa
  6. 6. v = 13.75 m/s

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