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 = 40 mm, v = 2 m/sṁ = ?

Glycerin (ρ = 1260 kg/m³) flows at 2 m/s through a pipe with an inner diameter of 40 mm. Find the mass flow rate ṁ.

ρ = 1260 kg/m³v = 2 m/sd = 40 mm
ṁ = kg/s
2.Easy
12d1​ = 150 mm, v1​ = 2.25 m/sd2​ = 75 mm

Water flows at 2.25 m/s through the wide section of the pipe, which has a diameter of 150 mm. Find the volume flow rate Q.

d1 = 150 mmd2 = 75 mmv1 = 2.25 m/s
Q = L/s
3.Medium
d1​ = 150 mmd2​ = 75 mm12p1​ − p2​ = 40 kPaQ = ?

Water flows through a horizontal venturi meter with an inlet diameter of 150 mm and a throat diameter of 75 mm. The pressure at the inlet is 40 kPa higher than at the throat. Ignoring losses, find the flow rate Q.

d1 = 150 mmd2 = 75 mmp1 − p2 = 40 kPaρ = 1000 kg/m³
Q = L/s
4.Medium
12d1​ = 75 mm, p1​ = 320 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 320 kPa and the velocity is 0.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 75 mmd2 = 50 mmp1 = 320 kPav1 = 0.5 m/sρ = 1000 kg/m³
p2 = kPa
5.Hard
pair​ = 70 kPaQ = ?d = 25 mmh = 4 m

A closed water tank has compressed air above the water at a gauge pressure of 70 kPa. Water leaves through an opening with a diameter of 25 mm, 4 m below the water surface, into the open air. Ignoring losses, find the flow rate Q. Use g = 9.81 m/s².

pair = 70 kPa (gauge)h = 4 md = 25 mmρ = 1000 kg/m³g = 9.81 m/s²
Q = L/s
6.Hard
C210.5 m3 md = 40 mmQ = ?

A hose with an inner diameter of 40 mm siphons water from an open tank. The highest point C of the hose is 0.5 m above the water surface, and the outlet (open to the air) is 3 m below the water surface. Ignore losses and take g = 9.81 m/s². Find the flow rate Q.

d = 40 mmzC = +0.5 mz2 = −3 mg = 9.81 m/s²
Q = L/s

Answer key

  1. 1. ṁ = 3.167 kg/s
  2. 2. Q = 39.76 L/s
  3. 3. Q = 40.81 L/s
  4. 4. p2 = 319.5 kPa
  5. 5. Q = 7.256 L/s
  6. 6. Q = 9.641 L/s

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