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
12Q = 5 L/sv = 2 m/s, d = ?

A water line must carry 5 L/s. To limit noise and wear, the mean velocity should be 2 m/s. Find the inner pipe diameter d needed.

Q = 5 L/sv = 2 m/s
d = mm
2.Easy
12d1​ = 75 mm, v1​ = 1 m/sd2​ = 50 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 50 mm in diameter. The velocity in the wide section is 1 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 50 mmv1 = 1 m/s
v2 = m/s
3.Medium
12d1​ = 150 mm, p1​ = 190 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 190 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 150 mmd2 = 75 mmp1 = 190 kPav1 = 1.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
v = ?p0​pp0​ − p = 900 Pastagnation point

A pitot-static tube in a wind tunnel reads a difference of 900 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.

p0 − p = 900 Paρ = 1.2 kg/m³
v = m/s
5.Hard
H = ?d1​ = 75 mmp1​ = 90 kPad2​ = 20 mm

A fountain nozzle points straight up. Just below the nozzle the supply pipe has a diameter of 75 mm and a gauge pressure of 90 kPa. The nozzle exit diameter is 20 mm, and the height difference across the nozzle is negligible. Ignoring losses and air resistance, find the height H the jet rises above the nozzle. Use g = 9.81 m/s².

d1 = 75 mmp1 = 90 kPa (gauge)d2 = 20 mmρ = 1000 kg/m³g = 9.81 m/s²
H = m
6.Hard
12d1​ = 200 mm, p1​ = 200 kPad2​ = 75 mm, p2​ = ?Δz = 7 m

Water flows up through a pipe that narrows from 200 mm to 75 mm while rising 7 m. At section 1 the pressure is 200 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 200 mmd2 = 75 mmp1 = 200 kPav1 = 0.75 m/sΔz = 7 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. d = 56.42 mm
  2. 2. v2 = 2.25 m/s
  3. 3. p2 = 173.1 kPa
  4. 4. v = 38.73 m/s
  5. 5. H = 9.221 m
  6. 6. p2 = 117.4 kPa

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