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 = 200 mm, v = 1 m/sṁ = ?

Seawater (ρ = 1025 kg/m³) flows at 1 m/s through a pipe with an inner diameter of 200 mm. Find the mass flow rate ṁ.

ρ = 1025 kg/m³v = 1 m/sd = 200 mm
ṁ = kg/s
2.Easy
12d1​ = 75 mm, v1​ = 0.75 m/sd2​ = 25 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 25 mm in diameter. The velocity in the wide section is 0.75 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 25 mmv1 = 0.75 m/s
v2 = m/s
3.Medium
12d1​ = 75 mm, p1​ = 110 kPad2​ = 40 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 75 mm to 40 mm. In the wide section the pressure is 110 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 40 mmp1 = 110 kPav1 = 1.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
12d1​ = 75 mm, p1​ = 340 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 340 kPa and the velocity is 1.75 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 340 kPav1 = 1.75 m/sρ = 1000 kg/m³
p2 = kPa
5.Hard
12d1​ = 100 mm, p1​ = 400 kPad2​ = 40 mm, p2​ = ?Δz = 1 m

Water flows up through a pipe that narrows from 100 mm to 40 mm while rising 1 m. At section 1 the pressure is 400 kPa and the velocity is 0.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 100 mmd2 = 40 mmp1 = 400 kPav1 = 0.5 m/sΔz = 1 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 200 mm, p1​ = 280 kPad2​ = 100 mm, p2​ = ?Δz = 10 m

Water flows up through a pipe that narrows from 200 mm to 100 mm while rising 10 m. At section 1 the pressure is 280 kPa and the velocity is 2.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 200 mmd2 = 100 mmp1 = 280 kPav1 = 2.5 m/sΔz = 10 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. ṁ = 32.2 kg/s
  2. 2. v2 = 6.75 m/s
  3. 3. p2 = 97.22 kPa
  4. 4. p2 = 333.8 kPa
  5. 5. p2 = 385.4 kPa
  6. 6. p2 = 135 kPa

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