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
Δp = 300 kPaPQ = 20 L/s

A pump raises the pressure of 20 L/s of water by 300 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 20 L/sΔp = 300 kPa
Ph = kW
2.Easy
Δp = 650 kPaPQ = 20 L/s

A pump raises the pressure of 20 L/s of water by 650 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 20 L/sΔp = 650 kPa
Ph = kW
3.Medium
PQ = 150 L/sH = 38 m

A pump with an efficiency of 70% delivers 150 L/s of water (ρ = 1000 kg/m³) against a head of 38 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 150 L/sH = 38 mη = 70%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 80 L/sH = 66 m

A pump with an efficiency of 70% delivers 80 L/s of water (ρ = 1000 kg/m³) against a head of 66 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 80 L/sH = 66 mη = 70%g = 9.81 m/s²
Pshaft = kW
5.Hard
PQ = 20 L/sΔz = 26 mL = 300 m, D = 100 mm, f = 0.022, ΣK = 8

A pump moves 20 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 300 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.022; the minor-loss coefficients add up to ΣK = 8 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 75%. Find the shaft power Pshaft in kW.

Q = 20 L/sΔz = 26 mL = 300 mD = 100 mmf = 0.022ΣK = 8η = 75%
Pshaft = kW
6.Hard
PQ = 120 L/sΔz = 12 mL = 100 m, D = 250 mm, f = 0.022, ΣK = 6

A pump moves 120 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 100 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.022; the minor-loss coefficients add up to ΣK = 6 (entrance and exit included). Use g = 9.81 m/s². Find the head H the pump must add.

Q = 120 L/sΔz = 12 mL = 100 mD = 250 mmf = 0.022ΣK = 6
H = m

Answer key

  1. 1. Ph = 6 kW
  2. 2. Ph = 13 kW
  3. 3. Pshaft = 79.88 kW
  4. 4. Pshaft = 74 kW
  5. 5. Pshaft = 13.2 kW
  6. 6. H = 16.51 m

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