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 = 100 mm, v = 3.75 m/sṁ = ?

Water (ρ = 1000 kg/m³) flows at 3.75 m/s through a pipe with an inner diameter of 100 mm. Find the mass flow rate ṁ.

ρ = 1000 kg/m³v = 3.75 m/sd = 100 mm
ṁ = kg/s
2.Easy
12d = 100 mm, v = 2.25 m/sṁ = ?

Glycerin (ρ = 1260 kg/m³) flows at 2.25 m/s through a pipe with an inner diameter of 100 mm. Find the mass flow rate ṁ.

ρ = 1260 kg/m³v = 2.25 m/sd = 100 mm
ṁ = kg/s
3.Medium
v = ?p0​pp0​ − p = 36 kPastagnation point

A pitot-static tube in a water pipe reads a difference of 36 kPa between the stagnation pressure and the static pressure. Find the water velocity v at the tip.

p0 − p = 36 kPaρ = 1000 kg/m³
v = m/s
4.Medium
v = ?p0​pp0​ − p = 550 Pastagnation point

A pitot-static tube in a wind tunnel reads a difference of 550 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.

p0 − p = 550 Paρ = 1.2 kg/m³
v = m/s
5.Hard
H = ?d1​ = 100 mmp1​ = 100 kPad2​ = 30 mm

A fountain nozzle points straight up. Just below the nozzle the supply pipe has a diameter of 100 mm and a gauge pressure of 100 kPa. The nozzle exit diameter is 30 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 = 100 mmp1 = 100 kPa (gauge)d2 = 30 mmρ = 1000 kg/m³g = 9.81 m/s²
H = m
6.Hard
12d1​ = 150 mm, p1​ = 290 kPad2​ = 100 mm, p2​ = ?Δz = 4 m

Water flows up through a pipe that narrows from 150 mm to 100 mm while rising 4 m. At section 1 the pressure is 290 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 100 mmp1 = 290 kPav1 = 0.75 m/sΔz = 4 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. ṁ = 29.45 kg/s
  2. 2. ṁ = 22.27 kg/s
  3. 3. v = 8.485 m/s
  4. 4. v = 30.28 m/s
  5. 5. H = 10.28 m
  6. 6. p2 = 249.6 kPa

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