Pumps & pump power worksheet with answers

Free printable Pumps & pump power 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
PQ = 40 L/sH = 59 m

A pump delivers 40 L/s of water (ρ = 1000 kg/m³) against a total head of 59 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 40 L/sH = 59 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
Δp = 300 kPaPQ = 60 L/s

A pump raises the pressure of 60 L/s of water by 300 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 60 L/sΔp = 300 kPa
Ph = kW
3.Medium
PQ = 15 L/sH = 12 m

In a test, a pump delivers 15 L/s of water (ρ = 1000 kg/m³) against a head of 12 m while its shaft takes 2.2 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 15 L/sH = 12 mPshaft = 2.2 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 40 L/sH = 32 m

In a test, a pump delivers 40 L/s of water (ρ = 1000 kg/m³) against a head of 32 m while its shaft takes 16.1 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 40 L/sH = 32 mPshaft = 16.1 kWg = 9.81 m/s²
η = %
5.Hard
PQ = 80 L/sΔz = 22 mL = 150 m, D = 200 mm, f = 0.018, ΣK = 6

A pump moves 80 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 22 m higher. The pipe is 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.018; the minor-loss coefficients add up to ΣK = 6 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 80 L/sΔz = 22 mL = 150 mD = 200 mmf = 0.018ΣK = 6
H = m
6.Hard
PQ = 75 L/sΔz = 13 mL = 300 m, D = 200 mm, f = 0.025, ΣK = 6

A pump moves 75 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 13 m higher. The pipe is 300 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.025; the minor-loss coefficients add up to ΣK = 6 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 75%. Find the shaft power Pshaft in kW.

Q = 75 L/sΔz = 13 mL = 300 mD = 200 mmf = 0.025ΣK = 6η = 75%
Pshaft = kW

Answer key

  1. 1. Ph = 23.15 kW
  2. 2. Ph = 18 kW
  3. 3. η = 80.26 %
  4. 4. η = 77.99 %
  5. 5. H = 28.44 m
  6. 6. Pshaft = 25.15 kW

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