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 = 15 L/sH = ?

A pump delivers 15 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 2.2 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 2.2 kWQ = 15 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
2.Easy
PQ = 12 L/sH = 63 m

A pump delivers 12 L/s of water (ρ = 1000 kg/m³) against a total head of 63 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 12 L/sH = 63 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
3.Medium
PQ = 50 L/sH = 46 m

In a test, a pump delivers 50 L/s of water (ρ = 1000 kg/m³) against a head of 46 m while its shaft takes 32.2 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 50 L/sH = 46 mPshaft = 32.2 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 150 L/sH = 26 m

A pump with an efficiency of 60% delivers 150 L/s of water (ρ = 1000 kg/m³) against a head of 26 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 150 L/sH = 26 mη = 60%g = 9.81 m/s²
Pshaft = kW
5.Hard
PQ = 50 L/sΔz = 26 mL = 100 m, D = 150 mm, f = 0.025, ΣK = 8

A pump moves 50 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 26 m higher. The pipe is 100 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.025; the minor-loss coefficients add up to ΣK = 8 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 82%. Find the shaft power Pshaft in kW.

Q = 50 L/sΔz = 26 mL = 100 mD = 150 mmf = 0.025ΣK = 8η = 82%
Pshaft = kW
6.Hard
PQ = 80 L/sΔz = 36 mL = 300 m, D = 200 mm, f = 0.025, ΣK = 8

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 36 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 = 8 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 80%. Find the shaft power Pshaft in kW.

Q = 80 L/sΔz = 36 mL = 300 mD = 200 mmf = 0.025ΣK = 8η = 80%
Pshaft = kW

Answer key

  1. 1. H = 14.95 m
  2. 2. Ph = 7.416 kW
  3. 3. η = 70.07 %
  4. 4. Pshaft = 63.77 kW
  5. 5. Pshaft = 21.57 kW
  6. 6. Pshaft = 50.07 kW

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