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 = 30 L/sH = 79 m

A pump delivers 30 L/s of water (ρ = 1000 kg/m³) against a total head of 79 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 30 L/sH = 79 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 100 L/sH = ?

A pump delivers 100 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 55 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 55 kWQ = 100 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
3.Medium
PQ = 20 L/sH = 80 m

In a test, a pump delivers 20 L/s of water (ρ = 1000 kg/m³) against a head of 80 m while its shaft takes 24.1 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 20 L/sH = 80 mPshaft = 24.1 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 100 L/sH = 28 m

In a test, a pump delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 28 m while its shaft takes 33.5 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 100 L/sH = 28 mPshaft = 33.5 kWg = 9.81 m/s²
η = %
5.Hard
PQ = 60 L/sΔz = 6 mL = 300 m, D = 200 mm, f = 0.018, ΣK = 8

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 6 m higher. The pipe is 300 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 = 8 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 60 L/sΔz = 6 mL = 300 mD = 200 mmf = 0.018ΣK = 8
H = m
6.Hard
250 kPa (gauge)PQ = 75 L/sΔz = 21 mL = 150 m, D = 200 mm, f = 0.025, 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 150 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 upper tank is closed and the air above its water is at a gauge pressure of 250 kPa. Find the head H the pump must add.

Q = 75 L/sΔz = 21 mL = 150 mD = 200 mmf = 0.025ΣK = 8ptank = 250 kPa
H = m

Answer key

  1. 1. Ph = 23.25 kW
  2. 2. H = 56.07 m
  3. 3. η = 65.13 %
  4. 4. η = 81.99 %
  5. 5. H = 12.51 m
  6. 6. H = 54.25 m

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