How it works
Hydraulic power is ρ·g·Q·H — for water that's 9.81 × flow in m³/s × head in metres (in kW). Dividing by the pump efficiency gives the shaft power the motor must deliver. Add motor and drive losses on top when sizing the electric motor.
Worked example
Flow 50 L/s = 0.05 m³/s. Hydraulic power = 9.81 × 0.05 × 30 = 14.7 kW. ÷ 0.70 efficiency ≈ 21.0 kW shaft power.
Assumptions & limitations
Uses water density (1,000 kg/m³). 'Total head' must include static lift plus all friction and fitting losses, not just the vertical rise. Size the motor above this figure for a safety margin and motor efficiency.