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Hydraulic Pump Flow, Power & Displacement Calculator

Designing hydraulic power units (HPUs) requires sizing the electric motor or engine to drive gear, vane, or piston pumps under peak system relief pressure.

Volume pumped per single revolution (e.g. 2.5 in³/rev).

Electric motor or engine input speed (1,800 or 3,600 RPM are standard 60Hz 4-pole/2-pole electric speeds).

Operating or relief valve pressure setting in PSI.

Total mechanical-volumetric efficiency (typically 85%–90% for quality gear or piston pumps).

Calculated Result
33.4 HP (24.9 kW)

Drive Motor Power Required

Pump Flow Rate

19.48 GPM (73.7 L/min)

Hydraulic Fluid Power

28.41 HP

Operating Pressure

2500 PSI

Shaft Speed

1800 RPM

Calculation Breakdown

  1. Pump Flow Rate OutputQ = (2.5 in³/rev × 1800 RPM) ÷ 231 = 19.48 GPM (73.7 L/min)
  2. Hydraulic Power ProducedHP_fluid = (2500 PSI × 19.48 GPM) ÷ 1,714 = 28.41 HP
  3. Electric / Engine Drive Power Required28.41 HP ÷ (85% ÷ 100) = 33.4 HP (24.9 kW)

Drive Power Required (HP) Across Operating Pressures (19.5 GPM)

Interactive visualization based on your current inputs

Calculated Value
0.0102030401,000 PSI1,500 PSI2,000 PSI2,500 PSI3,000 PSI

What Is the Hydraulic Pump Flow, Power & Displacement Calculator?

Hydraulic pumps displace fluid volume to create flow; pressure is created only by resistance to that flow downstream in the circuit.

How Does the Hydraulic Pump Flow, Power & Displacement Calculator Work?

Flow in GPM is computed via (Displacement in³/rev × RPM) ÷ 231.

Hydraulic fluid horsepower is computed via (PSI × GPM) ÷ 1,714.

Input prime mover shaft horsepower is divided by overall mechanical efficiency.

Hydraulic Pump Flow, Power & Displacement Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q (GPM) = (Displacement × RPM) ÷ 231, Drive HP = (Pressure × GPM) ÷ (1,714 × Efficiency)

Fluid horsepower equals pressure multiplied by flow divided by 1,714; drive power compensates for mechanical and volumetric efficiency.

How to Use the Hydraulic Pump Flow, Power & Displacement Calculator

  1. Enter pump geometric displacement.
  2. Enter shaft drive RPM.
  3. Enter system relief pressure and pump efficiency rating.

Step-by-Step Example Calculation

2.5 in³/rev Pump at 1,800 RPM and 2,500 PSI (85% Efficiency)

Input Values:

displacementCuIn:2.5
rpm:1800
pressurePsi:2500
efficiencyPct:85

Understanding Your Result

Shows output flow in GPM and L/min alongside required motor power in HP and kW.

Factors That Affect the Result

  • Fluid viscosity, operating temperature, and volumetric slip at elevated pressures.

When Should You Use This Calculator?

  • Sizing electric motors for industrial hydraulic presses, agricultural tractor implements, and log splitters.

Assumptions & Limitations

  • Positive displacement pump operating within rated speed parameters.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard NFPA and ISO fluid power mechanical engineering equations.

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