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 = 550 kPaPQ = 60 L/s

A pump raises the pressure of 60 L/s of water by 550 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 60 L/sΔp = 550 kPa
Ph = kW
2.Easy
PQ = 20 L/sH = ?

A pump delivers 20 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 = 20 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
3.Medium
PQ = 60 L/sH = 28 m

A pump with an efficiency of 65% delivers 60 L/s of water (ρ = 1000 kg/m³) against a head of 28 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 60 L/sH = 28 mη = 65%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 50 L/sH = 12 m

A pump with an efficiency of 82% delivers 50 L/s of water (ρ = 1000 kg/m³) against a head of 12 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 50 L/sH = 12 mη = 82%g = 9.81 m/s²
Pshaft = kW
5.Hard
PQ = 50 L/sΔz = 15 mL = 100 m, D = 200 mm, f = 0.022, 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 15 m higher. The pipe is 100 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 = 8 (entrance and exit included). Use g = 9.81 m/s². The pump efficiency is 78%. Find the shaft power Pshaft in kW.

Q = 50 L/sΔz = 15 mL = 100 mD = 200 mmf = 0.022ΣK = 8η = 78%
Pshaft = kW
6.Hard
PQ = 100 L/sΔz = 23 mL = 100 m, D = 250 mm, f = 0.025, ΣK = 8

A pump moves 100 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 23 m higher. The pipe is 100 m long with an inside diameter of 250 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. Find the head H the pump must add.

Q = 100 L/sΔz = 23 mL = 100 mD = 250 mmf = 0.025ΣK = 8
H = m

Answer key

  1. 1. Ph = 33 kW
  2. 2. H = 56.07 m
  3. 3. Pshaft = 25.36 kW
  4. 4. Pshaft = 7.178 kW
  5. 5. Pshaft = 10.98 kW
  6. 6. H = 26.81 m

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