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 = 600 kPaPQ = 150 L/s

A pump raises the pressure of 150 L/s of water by 600 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 150 L/sΔp = 600 kPa
Ph = kW
2.Easy
Δp = 450 kPaPQ = 5 L/s

A pump raises the pressure of 5 L/s of water by 450 kPa. Inlet and outlet are at the same height and have the same diameter. Find the hydraulic power Ph in kW.

Q = 5 L/sΔp = 450 kPa
Ph = kW
3.Medium
PQ = 15 L/sH = 72 m

In a test, a pump delivers 15 L/s of water (ρ = 1000 kg/m³) against a head of 72 m while its shaft takes 12.5 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 15 L/sH = 72 mPshaft = 12.5 kWg = 9.81 m/s²
η = %
4.Medium
PQ = 20 L/sH = 34 m

In a test, a pump delivers 20 L/s of water (ρ = 1000 kg/m³) against a head of 34 m while its shaft takes 8.9 kW. Use g = 9.81 m/s². Find the pump efficiency η in percent.

Q = 20 L/sH = 34 mPshaft = 8.9 kWg = 9.81 m/s²
η = %
5.Hard
PQ = 120 L/sΔz = 5 mL = 300 m, D = 250 mm, f = 0.018, ΣK = 8

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 5 m higher. The pipe is 300 m long with an inside diameter of 250 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. The pump efficiency is 75%. Find the shaft power Pshaft in kW.

Q = 120 L/sΔz = 5 mL = 300 mD = 250 mmf = 0.018ΣK = 8η = 75%
Pshaft = kW
6.Hard
PQ = 20 L/sΔz = 21 mL = 100 m, D = 100 mm, f = 0.02, 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 21 m higher. The pipe is 100 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.02; 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 = 21 mL = 100 mD = 100 mmf = 0.02ΣK = 8η = 75%
Pshaft = kW

Answer key

  1. 1. Ph = 90 kW
  2. 2. Ph = 2.25 kW
  3. 3. η = 84.76 %
  4. 4. η = 74.95 %
  5. 5. Pshaft = 22 kW
  6. 6. Pshaft = 7.915 kW

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