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.

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1.Easy
12d1​ = 100 mm, v1​ = 1.75 m/sd2​ = 50 mm, v2​ = ?

Water flows through a pipe that narrows from 100 mm to 50 mm in diameter. The velocity in the wide section is 1.75 m/s. Find the velocity v2 in the narrow section.

d1 = 100 mmd2 = 50 mmv1 = 1.75 m/s
v2 = m/s
2.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
3.Medium
12d1​ = 150 mm, p1​ = 350 kPad2​ = 75 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 150 mm to 75 mm. In the wide section the pressure is 350 kPa and the velocity is 2.25 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 150 mmd2 = 75 mmp1 = 350 kPav1 = 2.25 m/sρ = 1000 kg/m³
p2 = kPa
4.Medium
12d1​ = 100 mm, p1​ = 310 kPad2​ = 50 mm, p2​ = ?

Water flows through a horizontal pipe that narrows from 100 mm to 50 mm. In the wide section the pressure is 310 kPa and the velocity is 1.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.

d1 = 100 mmd2 = 50 mmp1 = 310 kPav1 = 1.5 m/sρ = 1000 kg/m³
p2 = kPa
5.Hard
12d1​ = 200 mm, p1​ = 230 kPad2​ = 100 mm, p2​ = ?Δz = 8 m

Water flows up through a pipe that narrows from 200 mm to 100 mm while rising 8 m. At section 1 the pressure is 230 kPa and the velocity is 2 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 200 mmd2 = 100 mmp1 = 230 kPav1 = 2 m/sΔz = 8 mρ = 1000 kg/m³
p2 = kPa
6.Hard
12d1​ = 100 mm, p1​ = 230 kPad2​ = 50 mm, p2​ = ?Δz = 10 m

Water flows up through a pipe that narrows from 100 mm to 50 mm while rising 10 m. At section 1 the pressure is 230 kPa and the velocity is 2 m/s. Ignoring losses, find the pressure p2 at section 2.

d1 = 100 mmd2 = 50 mmp1 = 230 kPav1 = 2 m/sΔz = 10 mρ = 1000 kg/m³
p2 = kPa

Answer key

  1. 1. v2 = 7 m/s
  2. 2. Q = 15.71 L/s
  3. 3. p2 = 312 kPa
  4. 4. p2 = 293.1 kPa
  5. 5. p2 = 121.5 kPa
  6. 6. p2 = 101.9 kPa

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