RPM to Flow Rate Calculator

| Added in Engineering

What is RPM to Flow Rate?

RPM to Flow Rate converts pump rotational speed into volumetric flow rate. This is fundamental in hydraulic and fluid system design, helping engineers select the right pump, size piping, and optimize system performance.

How to Calculate Flow Rate from RPM

For imperial units (GPM):

[\text{Flow Rate} = \frac{\text{RPM} \times D}{231}]

For metric units (LPM):

[\text{Flow Rate} = \frac{\text{RPM} \times D}{1{,}000}]

Where:

  • Flow Rate is in gallons per minute (GPM) or liters per minute (LPM).
  • RPM is the pump speed in revolutions per minute.
  • D is the pump displacement per revolution (in³ or cm³).
  • 231 converts in³ to gallons. 1,000 converts cm³ to liters.

Calculation Example

A pump runs at 500 RPM with a displacement of 3 in³/revolution.

[\text{Flow Rate} = \frac{500 \times 3}{231} = \frac{1{,}500}{231} = 6.494]

The flow rate is approximately 6.494 GPM.

Metric Example

A pump runs at 800 RPM with a displacement of 50 cm³/revolution.

[\text{Flow Rate} = \frac{800 \times 50}{1{,}000} = \frac{40{,}000}{1{,}000} = 40]

The flow rate is 40 LPM.

Frequently Asked Questions

The formula multiplies pump RPM by displacement per revolution to get total volume per minute. For imperial units, dividing by 231 converts cubic inches per minute to gallons per minute (since 1 gallon equals 231 cubic inches). For metric units, dividing by 1,000 converts cubic centimeters per minute to liters per minute.

Pump displacement is the volume of fluid moved by the pump in one complete revolution. It is a fixed property of the pump determined by its physical design. Manufacturers typically list this value in the pump specifications.

No. This formula gives the theoretical (ideal) flow rate. Actual flow rate is lower due to internal leakage and mechanical losses. To estimate actual flow rate, multiply the result by the pump's volumetric efficiency (typically 0.85 to 0.95 for gear pumps).

One US gallon equals exactly 231 cubic inches. Dividing the total cubic inches per minute by 231 converts the result to gallons per minute, which is the standard flow rate unit in US hydraulic systems.

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