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 = 100 L/sH = ?

A pump delivers 100 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 11 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 11 kWQ = 100 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
2.Easy
PQ = 10 L/sH = 25 m

A pump delivers 10 L/s of water (ρ = 1000 kg/m³) against a total head of 25 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 10 L/sH = 25 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
3.Medium
PQ = 100 L/sH = 46 m

In a test, a pump delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 46 m while its shaft takes 60.2 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 100 L/sH = 46 mPshaft = 60.2 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 100 L/sH = 76 m

In a test, a pump delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 76 m while its shaft takes 87.7 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 100 L/sH = 76 mPshaft = 87.7 kWg = 9.81 m/s²
η = %
5.Hard
PQ = 80 L/sΔz = 12 mL = 150 m, D = 200 mm, f = 0.018, ΣK = 5

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 12 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 = 80 L/sΔz = 12 mL = 150 mD = 200 mmf = 0.018ΣK = 5
H = m
6.Hard
350 kPa (gauge)PQ = 75 L/sΔz = 6 mL = 500 m, D = 250 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 6 m higher. The pipe is 500 m long with an inside diameter of 250 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. The upper tank is closed and the air above its water is at a gauge pressure of 350 kPa. Find the head H the pump must add.

Q = 75 L/sΔz = 6 mL = 500 mD = 250 mmf = 0.015ΣK = 8ptank = 350 kPa
H = m

Answer key

  1. 1. H = 11.21 m
  2. 2. Ph = 2.453 kW
  3. 3. η = 74.96 %
  4. 4. η = 85.01 %
  5. 5. H = 18.11 m
  6. 6. H = 46.2 m

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