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
vd = 10 mmh = 7 m

An open water tank drains through a round opening with a diameter of 10 mm in its side. The free surface is 7 m above the opening. Ignoring losses and the contraction of the jet, find the flow rate Q. Use g = 9.81 m/s².

h = 7 mg = 9.81 m/s²d = 10 mm
Q = L/s
2.Easy
12d1​ = 100 mm, v1​ = 1.5 m/sd2​ = 50 mm

Water flows at 1.5 m/s through the wide section of the pipe, which has a diameter of 100 mm. Find the volume flow rate Q.

d1 = 100 mmd2 = 50 mmv1 = 1.5 m/s
Q = L/s
3.Medium
12d1​ = 100 mm, p1​ = ?d2​ = 50 mm, p2​ = 190 kPa

Water flows at 15 L/s through a horizontal pipe that narrows from 100 mm to 50 mm. The pressure in the narrow section is 190 kPa. Ignoring losses, find the pressure p1 in the wide section.

Q = 15 L/sd1 = 100 mmd2 = 50 mmp2 = 190 kPaρ = 1000 kg/m³
p1 = kPa
4.Medium
Q = ?d = 25 mm, Cd​ = 0.61h = 5 m

Water drains from a large open tank through a sharp-edged orifice with a diameter of 25 mm. The water level is kept 5 m above the orifice and the discharge coefficient is 0.61. Find the flow rate Q. Use g = 9.81 m/s².

d = 25 mmh = 5 mCd = 0.61g = 9.81 m/s²
Q = L/s
5.Hard
12d1​ = 150 mm, p1​ = 150 kPad2​ = 100 mm, p2​ = ?Δz = 5 m

Water flows up through a pipe that narrows from 150 mm to 100 mm while rising 5 m. At section 1 the pressure is 150 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 100 mmp1 = 150 kPav1 = 1.5 m/sΔz = 5 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 150 mm, p1​ = 140 kPad2​ = 50 mm, p2​ = ?Δz = 3 m

Water flows up through a pipe that narrows from 150 mm to 50 mm while rising 3 m. At section 1 the pressure is 140 kPa and the velocity is 1.25 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 150 mmd2 = 50 mmp1 = 140 kPav1 = 1.25 m/sΔz = 3 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. Q = 0.9204 L/s
  2. 2. Q = 11.78 L/s
  3. 3. p1 = 217.4 kPa
  4. 4. Q = 2.966 L/s
  5. 5. p2 = 96.38 kPa
  6. 6. p2 = 48.07 kPa

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