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 = 5 L/sH = 45 m

A pump delivers 5 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 = 5 L/sH = 45 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 60 L/sH = 70 m

A pump delivers 60 L/s of water (ρ = 1000 kg/m³) against a total head of 70 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 60 L/sH = 70 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
3.Medium
PQ = 80 L/sH = 34 m

A pump with an efficiency of 82% delivers 80 L/s of water (ρ = 1000 kg/m³) against a head of 34 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 80 L/sH = 34 mη = 82%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 100 L/sH = 52 m

A pump with an efficiency of 75% delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 52 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 100 L/sH = 52 mη = 75%g = 9.81 m/s²
Pshaft = kW
5.Hard
PQ = 80 L/sΔz = 17 mL = 600 m, D = 200 mm, f = 0.02, ΣK = 6

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 17 m higher. The pipe is 600 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.02; the minor-loss coefficients add up to ΣK = 6 (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 = 17 mL = 600 mD = 200 mmf = 0.02ΣK = 6η = 80%
Pshaft = kW
6.Hard
PQ = 50 L/sΔz = 10 mL = 150 m, D = 200 mm, f = 0.018, 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 10 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 = 8 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 50 L/sΔz = 10 mL = 150 mD = 200 mmf = 0.018ΣK = 8
H = m

Answer key

  1. 1. Ph = 2.207 kW
  2. 2. Ph = 41.2 kW
  3. 3. Pshaft = 32.54 kW
  4. 4. Pshaft = 68.02 kW
  5. 5. Pshaft = 38.08 kW
  6. 6. H = 12.78 m

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