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
v = ?h = 1.5 m

An open water tank drains through a small opening in its side. The free surface is 1.5 m above the opening. Ignoring losses, find the jet velocity v at the opening. Use g = 9.81 m/s².

h = 1.5 mg = 9.81 m/s²
v = m/s
2.Easy
12d = 40 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 40 mm. Find the mass flow rate ṁ.

ρ = 1260 kg/m³v = 1.5 m/sd = 40 mm
ṁ = kg/s
3.Medium
v = ?p0​pp0​ − p = 50 Pastagnation point

A pitot-static tube in a wind tunnel reads a difference of 50 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.

p0 − p = 50 Paρ = 1.2 kg/m³
v = m/s
4.Medium
d1​ = 200 mmd2​ = 150 mm12p1​ − p2​ = 18 kPaQ = ?

Water flows through a horizontal venturi meter with an inlet diameter of 200 mm and a throat diameter of 150 mm. The pressure at the inlet is 18 kPa higher than at the throat. Ignoring losses, find the flow rate Q.

d1 = 200 mmd2 = 150 mmp1 − p2 = 18 kPaρ = 1000 kg/m³
Q = L/s
5.Hard
12d1​ = 75 mm, p1​ = 250 kPad2​ = 25 mm, p2​ = ?Δz = 2 m

Water flows up through a pipe that narrows from 75 mm to 25 mm while rising 2 m. At section 1 the pressure is 250 kPa and the velocity is 0.5 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 25 mmp1 = 250 kPav1 = 0.5 m/sΔz = 2 mρ = 1000 kg/m³
p2 = kPa
6.Hard
pair​ = 120 kPaQ = ?d = 50 mmh = 1.5 m

A closed water tank has compressed air above the water at a gauge pressure of 120 kPa. Water leaves through an opening with a diameter of 50 mm, 1.5 m below the water surface, into the open air. Ignoring losses, find the flow rate Q. Use g = 9.81 m/s².

pair = 120 kPa (gauge)h = 1.5 md = 50 mmρ = 1000 kg/m³g = 9.81 m/s²
Q = L/s

Answer key

  1. 1. v = 5.425 m/s
  2. 2. ṁ = 2.375 kg/s
  3. 3. v = 9.129 m/s
  4. 4. Q = 128.2 L/s
  5. 5. p2 = 220.4 kPa
  6. 6. Q = 32.23 L/s

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