Polytechnic · Engineering
Pump Power
Round 1/6Score: 0
Water-lifting contract
Required water
Vertical head H
Electricity tariff$0.30/kWh
Maximum run time5.00 h
Choose a pump
0.25 h
Water delivered
Electrical cost
Useful hydraulic power
Delivery status
Select a pump and run time to fulfil the contract at minimum cost.
Energy versus run time
Input electricity
Useful hydraulic energy
Power flow
Higher pump efficiency means less electrical energy wasted per cubic metre lifted.
The physics
Useful hydraulic power P = ρgQH.
ρ = 1000 kg/m³; g = 9.81 m/s²; Q is volume flow rate in m³/s; H is vertical head in m.
Efficiency η = P(useful) ÷ P(input). Electrical energy E = P(input) × time.
Running cost = electrical energy (kWh) × $0.30/kWh.
Model: steady, incompressible flow; constant pump rating and efficiency; no extra pipe losses or standby consumption. Time can be set in 0.25 h increments.