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Hydraulic Formulas for Motors and Pumps

Hydraulic Formulas for Motors and Pumps: Essential Calculations for Optimal Performance

Although motors and pumps can look similar, they do different jobs in a hydraulic system. Pumps use an external power source (engine or electric motor) to create flow, while a hydraulic motor converts that pressurised flow into rotational force.

What these formulas help you calculate

  • Displacement (cc/rev)
  • Motor speed (rpm)
  • Torque (Nm)
  • Hydraulic power (kW)
  • Flow rate (L/min)

Key Differences Between Hydraulic Motors and Pumps

Purpose and energy conversion

  • Hydraulic pumps convert mechanical energy into hydraulic energy (flow/pressure).
  • Hydraulic motors convert hydraulic energy into mechanical energy (rotary motion).

Below are some essential hydraulic formulas for motors & pumps to help calculate performance metrics such as displacement, torque, speed, and power.


1) Displacement (cm³/rev or cc/rev)

Displacement formula for hydraulic motors and pumps

  • D = Displacement (cm³/rev)
  • Q = Flow rate (L/min)
  • N = Motor speed (rpm)

2) Motor speed (rpm)

Motor speed formula for hydraulic motors and pumps

  • N = Speed (rpm)
  • Q = Flow rate (L/min)
  • D = Displacement (cm³/rev)

3) Torque (Nm)

Torque formula for hydraulic motors

  • T = Torque (Nm)
  • D = Displacement (cm³/rev)
  • ΔP = Pressure drop across motor (bar)

4) Hydraulic power (kW) from torque & speed

Hydraulic power formula using torque and speed

  • P = Power (kW)
  • T = Torque (Nm)
  • N = Speed (rpm)

5) Hydraulic power (kW) from flow & pressure

Hydraulic power formula using flow and pressure

  • Ph = Hydraulic power (kW)
  • Q = Flow rate (L/min)
  • ΔP = Pressure difference (bar)

6) Flow rate (L/min)

Flow rate formula for hydraulic motors and pumps

  • Q = Flow rate (L/min)
  • D = Displacement (cm³/rev)
  • N = Speed (rpm)
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