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 = 200 L/sH = 51 m

A pump delivers 200 L/s of water (ρ = 1000 kg/m³) against a total head of 51 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 200 L/sH = 51 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 150 L/sH = 45 m

A pump delivers 150 L/s of water (ρ = 1000 kg/m³) against a total head of 45 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 150 L/sH = 45 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
3.Medium
PQ = 100 L/sH = 32 m

In a test, a pump delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 32 m while its shaft takes 43.6 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 100 L/sH = 32 mPshaft = 43.6 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 10 L/sH = 56 m

A pump with an efficiency of 78% delivers 10 L/s of water (ρ = 1000 kg/m³) against a head of 56 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 10 L/sH = 56 mη = 78%g = 9.81 m/s²
Pshaft = kW
5.Hard
PQ = 20 L/sΔz = 6 mL = 400 m, D = 150 mm, f = 0.018, ΣK = 8

A pump moves 20 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 6 m higher. The pipe is 400 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.018; the minor-loss coefficients add up to ΣK = 8 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 80%. Find the shaft power Pshaft in kW.

Q = 20 L/sΔz = 6 mL = 400 mD = 150 mmf = 0.018ΣK = 8η = 80%
Pshaft = kW
6.Hard
PQ = 75 L/sΔz = 21 mL = 600 m, D = 200 mm, f = 0.022, ΣK = 8

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 21 m higher. The pipe is 600 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.022; the minor-loss coefficients add up to ΣK = 8 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 75 L/sΔz = 21 mL = 600 mD = 200 mmf = 0.022ΣK = 8
H = m

Answer key

  1. 1. Ph = 100.1 kW
  2. 2. Ph = 66.22 kW
  3. 3. η = 72 %
  4. 4. Pshaft = 7.043 kW
  5. 5. Pshaft = 2.368 kW
  6. 6. H = 42.5 m

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