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 = 8 L/sH = 59 m

A pump delivers 8 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 = 8 L/sH = 59 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 25 L/sH = ?

A pump delivers 25 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 4 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 4 kWQ = 25 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
3.Medium
PQ = 100 L/sH = 14 m

A pump with an efficiency of 85% delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 14 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 100 L/sH = 14 mη = 85%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 30 L/sH = 70 m

In a test, a pump delivers 30 L/s of water (ρ = 1000 kg/m³) against a head of 70 m while its shaft takes 28.6 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 30 L/sH = 70 mPshaft = 28.6 kWg = 9.81 m/s²
η = %
5.Hard
PQ = 75 L/sΔz = 28 mL = 150 m, D = 200 mm, f = 0.015, 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 28 m higher. The pipe is 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.015; 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 = 28 mL = 150 mD = 200 mmf = 0.015ΣK = 8
H = m
6.Hard
PQ = 60 L/sΔz = 14 mL = 150 m, D = 200 mm, f = 0.018, ΣK = 5

A pump moves 60 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 14 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 = 5 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 60 L/sΔz = 14 mL = 150 mD = 200 mmf = 0.018ΣK = 5
H = m

Answer key

  1. 1. Ph = 4.63 kW
  2. 2. H = 16.31 m
  3. 3. Pshaft = 16.16 kW
  4. 4. η = 72.03 %
  5. 5. H = 33.59 m
  6. 6. H = 17.44 m

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