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 = 15 L/sH = 12 m

A pump delivers 15 L/s of water (ρ = 1000 kg/m³) against a total head of 12 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 15 L/sH = 12 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 80 L/sH = ?

A pump delivers 80 L/s of water (ρ = 1000 kg/m³) and gives it a hydraulic power of 15 kW. Use g = 9.81 m/s². Find the head H the pump adds.

Ph = 15 kWQ = 80 L/sρ = 1000 kg/m³g = 9.81 m/s²
H = m
3.Medium
PQ = 100 L/sH = 40 m

A pump with an efficiency of 85% delivers 100 L/s of water (ρ = 1000 kg/m³) against a head of 40 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 100 L/sH = 40 mη = 85%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 50 L/sH = 60 m

A pump with an efficiency of 72% delivers 50 L/s of water (ρ = 1000 kg/m³) against a head of 60 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 50 L/sH = 60 mη = 72%g = 9.81 m/s²
Pshaft = kW
5.Hard
150 kPa (gauge)PQ = 25 L/sΔz = 9 mL = 150 m, D = 150 mm, f = 0.02, ΣK = 6

A pump moves 25 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 9 m higher. The pipe is 150 m long with an inside diameter of 150 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 upper tank is closed and the air above its water is at a gauge pressure of 150 kPa. Find the head H the pump must add.

Q = 25 L/sΔz = 9 mL = 150 mD = 150 mmf = 0.02ΣK = 6ptank = 150 kPa
H = m
6.Hard
150 kPa (gauge)PQ = 60 L/sΔz = 14 mL = 150 m, D = 200 mm, f = 0.025, ΣK = 6

A pump moves 60 L/s of water (ρ = 1000 kg/m³) from an open lower reservoir to an upper tank whose water surface is 14 m higher. The pipe is 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.025; the minor-loss coefficients add up to ΣK = 6 (entrance and exit included). Use g = 9.81 m/s². The upper tank is closed and the air above its water is at a gauge pressure of 150 kPa. Find the head H the pump must add.

Q = 60 L/sΔz = 14 mL = 150 mD = 200 mmf = 0.025ΣK = 6ptank = 150 kPa
H = m

Answer key

  1. 1. Ph = 1.766 kW
  2. 2. H = 19.11 m
  3. 3. Pshaft = 46.16 kW
  4. 4. Pshaft = 40.88 kW
  5. 5. H = 26.94 m
  6. 6. H = 33.89 m

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