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 = 40 L/sH = 57 m

A pump delivers 40 L/s of water (ρ = 1000 kg/m³) against a total head of 57 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 40 L/sH = 57 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 60 L/sH = ?

A pump delivers 60 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 22 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 22 kWQ = 60 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
3.Medium
PQ = 60 L/sH = 18 m

A pump delivers 60 L/s of water (ρ = 1000 kg/m³) against a head of 18 m. The pump efficiency is 75% and the electric motor driving it has an efficiency of 94%. Use g = 9.81 m/s². Find the electrical power Pel the motor draws, in kW.

Q = 60 L/sH = 18 mηpump = 75%ηmotor = 94%g = 9.81 m/s²
Pel = kW
4.Medium
PQ = 40 L/sH = 18 m

A pump delivers 40 L/s of water (ρ = 1000 kg/m³) against a head of 18 m. The pump efficiency is 75% and the electric motor driving it has an efficiency of 94%. Use g = 9.81 m/s². Find the electrical power Pel the motor draws, in kW.

Q = 40 L/sH = 18 mηpump = 75%ηmotor = 94%g = 9.81 m/s²
Pel = kW
5.Hard
PQ = 75 L/sΔz = 6 mL = 150 m, D = 200 mm, f = 0.022, ΣK = 2

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 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.022; the minor-loss coefficients add up to ΣK = 2 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 75 L/sΔz = 6 mL = 150 mD = 200 mmf = 0.022ΣK = 2
H = m
6.Hard
PQ = 80 L/sΔz = 10 mL = 200 m, D = 200 mm, f = 0.015, ΣK = 2.5

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 10 m higher. The pipe is 200 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 = 2.5 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 80 L/sΔz = 10 mL = 200 mD = 200 mmf = 0.015ΣK = 2.5
H = m

Answer key

  1. 1. Ph = 22.37 kW
  2. 2. H = 37.38 m
  3. 3. Pel = 15.03 kW
  4. 4. Pel = 10.02 kW
  5. 5. H = 11.37 m
  6. 6. H = 15.78 m

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