Pump Horsepower Calculator

Calculate water horsepower and brake horsepower for irrigation pumps from GPM, TDH, and pump efficiency. Size your motor correctly.

Common Scenarios:
GPM
ft
%
hrs
$/kWh
Water Horsepower
50.5 HP
Energy delivered to water
Brake Horsepower
67.3 HP
Input power required from pump
Power (kW)
50.2 kW
Electrical power equivalent
Suggested Motor Size
75 HP
Minimum standard size
Motor w/ Service Factor
100 HP
Recommended (25% margin)
Annual Operating Cost
$12,056.57
100,471 kWh @ $0.12/kWh

Horsepower Breakdown

Water HP
50.5
Useful output
Losses
16.8
(25%)
Brake HP
67.3
Motor input
Motor Size (HP)Sufficient?Annual CostNote
75 HP✓ Minimum$13,436.00Just meets BHP requirement
100 HP✓ Recommended$17,914.6725% service factor margin
125 HP✓ Oversized$22,393.33Extra capacity/durability
Motor Selection Best Practice: Use the 25% service factor size (100 HP) rather than minimum. Service factors account for intermittent overloads, voltage variations, and extend motor lifespan.
Advanced: Pump Efficiency & Variable Speed Drives

Pump efficiency of 75% is typical for centrifugal pumps at design point. Efficiency drops off-curve, so oversizing pumps (and throttling) wastes energy.

Variable Frequency Drives (VFDs) can reduce energy consumption 20–40% in systems with variable load by adjusting motor speed to match demand. At part-load, pump efficiency remains near peak (cube law savings).

Annual cost at current rates ($0.12/kWh): $12,056.57. Over 10 years: $120,565.70.

Planning notes, formulas, and examples

About the Pump Horsepower Calculator

Sizing an irrigation pump motor begins with calculating two horsepower values: water horsepower (WHP) and brake horsepower (BHP). WHP is the theoretical minimum power needed to move water at a given flow rate and head. BHP accounts for pump losses and is always higher — it is the actual power the motor must deliver to the pump shaft.

The relationship is simple: BHP = WHP divided by pump efficiency. A pump rated at 75% efficiency requires 33% more horsepower than the theoretical minimum. Motor selection must meet or exceed BHP to avoid overloading.

This page turns flow, head, and efficiency into the motor size range needed for the pump instead of leaving it as a catalog guess.

When This Page Helps

Motor sizing errors are expensive either way. This page helps compare required horsepower with the motor you plan to install.

How to Use the Inputs

  1. Enter the pump flow rate in GPM.
  2. Enter the total dynamic head (TDH) in feet.
  3. Enter the pump efficiency as a percentage.
  4. Read the water horsepower (WHP) and brake horsepower (BHP).
  5. Select a motor rated at or slightly above BHP.
Formula used
WHP = (GPM × TDH) / 3960 BHP = WHP / (Pump Efficiency / 100) kW = BHP × 0.746

Example Calculation

Result: WHP = 50.5 HP; BHP = 67.3 HP (50.2 kW)

WHP = (800 × 250) / 3960 = 50.5 HP. BHP = 50.5 / 0.75 = 67.3 HP. In kW: 67.3 × 0.746 = 50.2 kW. A 75 HP motor provides adequate margin.

Tips & Best Practices

  • Always select a motor with 10―20% margin above calculated BHP.
  • Standard motor sizes: 25, 30, 40, 50, 60, 75, 100, 125, 150, 200 HP.
  • Higher pump efficiency directly reduces BHP and motor cost.
  • Multi-stage turbine pumps have different efficiency at each stage count.
  • Recalculate BHP if GPM or TDH changes due to well conditions.
  • Motor efficiency (typically 90–95%) further affects energy input from the grid.

Motor Selection Guidelines

Always select the next standard motor size above BHP. For 67 BHP, use a 75 HP motor. This provides a safety margin for fluctuating conditions, start-up loads, and minor efficiency degradation over time.

Multi-Stage vs Single-Stage Pumps

Single-stage centrifugal pumps are used for low-head, high-flow applications. Multi-stage vertical turbine pumps add stages to develop high head for deep wells. Each stage adds about 25–40 ft of head. BHP increases linearly with stage count.

Power Factor and Motor Efficiency

Three-phase motors at full load typically have 90–95% efficiency and 85–92% power factor. Running a motor at 50% load drops efficiency and power factor, increasing utility costs. Proper sizing ensures full-load operation.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • WHP is the theoretical power needed to lift water at a given flow and head with zero losses. It represents 100% pump efficiency. Real pumps always require more power due to hydraulic, mechanical, and volumetric losses.