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
12d1​ = 200 mm, v1​ = 0.5 m/sd2​ = 50 mm

Water flows at 0.5 m/s through the wide section of the pipe, which has a diameter of 200 mm. Find the volume flow rate Q.

d1 = 200 mmd2 = 50 mmv1 = 0.5 m/s
Q = L/s
2.Easy
12d1​ = 75 mm, v1​ = 3 m/sd2​ = 50 mm, v2​ = ?

Water flows through a pipe that narrows from 75 mm to 50 mm in diameter. The velocity in the wide section is 3 m/s. Find the velocity v2 in the narrow section.

d1 = 75 mmd2 = 50 mmv1 = 3 m/s
v2 = m/s
3.Medium
12d1​ = 150 mm, p1​ = 180 kPad2​ = 100 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 150 mm to 100 mm. In the wide section the pressure is 180 kPa and the velocity is 2.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 150 mmd2 = 100 mmp1 = 180 kPav1 = 2.5 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
Q = ?d = 25 mm, Cd​ = 0.6h = 6 m

Water drains from a large open tank through a sharp-edged orifice with a diameter of 25 mm. The water level is kept 6 m above the orifice and the discharge coefficient is 0.6. Find the flow rate Q. Use g = 9.81 m/s².

d = 25 mmh = 6 mCd = 0.6g = 9.81 m/s²
Q = L/s
5.Hard
C211 m4 md = 32 mmQ = ?

A hose with an inner diameter of 32 mm siphons water from an open tank. The highest point C of the hose is 1 m above the water surface, and the outlet (open to the air) is 4 m below the water surface. Ignore losses and take g = 9.81 m/s². Find the flow rate Q.

d = 32 mmzC = +1 mz2 = −4 mg = 9.81 m/s²
Q = L/s
6.Hard
12d1​ = 75 mm, p1​ = 380 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 380 kPa and the velocity is 0.75 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 75 mmd2 = 50 mmp1 = 380 kPav1 = 0.75 m/sΔz = 8 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. Q = 15.71 L/s
  2. 2. v2 = 6.75 m/s
  3. 3. p2 = 167.3 kPa
  4. 4. Q = 3.196 L/s
  5. 5. Q = 7.125 L/s
  6. 6. p2 = 300.4 kPa

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