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 = 3.5 m/sṁ = ?

Seawater (ρ = 1025 kg/m³) flows at 3.5 m/s through a pipe with an inner diameter of 100 mm. Find the mass flow rate ṁ.

ρ = 1025 kg/m³v = 3.5 m/sd = 100 mm
ṁ = kg/s
2.Easy
12d = 50 mm, v = 1.5 m/sṁ = ?

Glycerin (ρ = 1260 kg/m³) flows at 1.5 m/s through a pipe with an inner diameter of 50 mm. Find the mass flow rate ṁ.

ρ = 1260 kg/m³v = 1.5 m/sd = 50 mm
ṁ = kg/s
3.Medium
12d1​ = 75 mm, p1​ = 190 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 190 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 190 kPav1 = 1.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
Q = ?d = 20 mm, Cd​ = 0.62h = 1.5 m

Water drains from a large open tank through a sharp-edged orifice with a diameter of 20 mm. The water level is kept 1.5 m above the orifice and the discharge coefficient is 0.62. Find the flow rate Q. Use g = 9.81 m/s².

d = 20 mmh = 1.5 mCd = 0.62g = 9.81 m/s²
Q = L/s
5.Hard
pair​ = 140 kPav = ?d = 50 mmh = 1 m

A closed water tank has compressed air above the water at a gauge pressure of 140 kPa. Water leaves through an opening with a diameter of 50 mm, 1 m below the water surface, into the open air. Ignoring losses, find the jet velocity v. Use g = 9.81 m/s².

pair = 140 kPa (gauge)h = 1 md = 50 mmρ = 1000 kg/m³g = 9.81 m/s²
v = m/s
6.Hard
12d1​ = 75 mm, p1​ = 260 kPad2​ = 50 mm, p2​ = ?Δz = 8 m

Water flows up through a pipe that narrows from 75 mm to 50 mm while rising 8 m. At section 1 the pressure is 260 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 50 mmp1 = 260 kPav1 = 1.5 m/sΔz = 8 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. ṁ = 28.18 kg/s
  2. 2. ṁ = 3.711 kg/s
  3. 3. p2 = 185.4 kPa
  4. 4. Q = 1.057 L/s
  5. 5. v = 17.31 m/s
  6. 6. p2 = 176.9 kPa

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