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 = 44 m

A pump delivers 15 L/s of water (ρ = 1000 kg/m³) against a total head of 44 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 15 L/sH = 44 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
2.Easy
PQ = 100 L/sH = 71 m

A pump delivers 100 L/s of water (ρ = 1000 kg/m³) against a total head of 71 m. Use g = 9.81 m/s². Find the hydraulic power Ph given to the water, in kW.

Q = 100 L/sH = 71 mρ = 1000 kg/m³g = 9.81 m/s²
Ph = kW
3.Medium
PQ = 50 L/sH = 22 m

A pump with an efficiency of 72% delivers 50 L/s of water (ρ = 1000 kg/m³) against a head of 22 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 50 L/sH = 22 mη = 72%g = 9.81 m/s²
Pshaft = kW
4.Medium
PQ = 60 L/sH = 18 m

A pump with an efficiency of 85% delivers 60 L/s of water (ρ = 1000 kg/m³) against a head of 18 m. Use g = 9.81 m/s². Find the shaft power Pshaft needed, in kW.

Q = 60 L/sH = 18 mη = 85%g = 9.81 m/s²
Pshaft = kW
5.Hard
400 kPa (gauge)PQ = 80 L/sΔz = 6 mL = 400 m, D = 200 mm, f = 0.015, ΣK = 6

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 6 m higher. The pipe is 400 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 = 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 400 kPa. Find the head H the pump must add.

Q = 80 L/sΔz = 6 mL = 400 mD = 200 mmf = 0.015ΣK = 6ptank = 400 kPa
H = m
6.Hard
300 kPa (gauge)PQ = 60 L/sΔz = 18 mL = 150 m, D = 200 mm, f = 0.015, 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 18 m higher. The pipe is 150 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 = 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 300 kPa. Find the head H the pump must add.

Q = 60 L/sΔz = 18 mL = 150 mD = 200 mmf = 0.015ΣK = 6ptank = 300 kPa
H = m

Answer key

  1. 1. Ph = 6.475 kW
  2. 2. Ph = 69.65 kW
  3. 3. Pshaft = 14.99 kW
  4. 4. Pshaft = 12.46 kW
  5. 5. H = 58.67 m
  6. 6. H = 51.79 m

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