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Gerotor Displacement Formula:
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Gerotor displacement refers to the volume of fluid displaced per revolution in a gerotor pump or motor. It is a critical parameter in hydraulic systems that determines the pump's or motor's capacity and efficiency.
The calculator uses the gerotor displacement formula:
Where:
Explanation: The formula calculates the annular area between the external and internal rotors and multiplies it by the width to determine the displacement volume per revolution.
Details: Accurate displacement calculation is crucial for designing hydraulic systems, selecting appropriate pump/motor sizes, and ensuring optimal system performance and efficiency.
Tips: Enter external rotor radius, internal rotor radius, and width in inches. All values must be positive, and external radius must be greater than internal radius.
Q1: What is a gerotor pump?
A: A gerotor pump is a positive displacement pump consisting of an inner and outer rotor with offset centers that creates fluid chambers for pumping.
Q2: Why is displacement important in hydraulic systems?
A: Displacement determines the flow rate at a given speed and the torque output in hydraulic motors, making it fundamental to system design.
Q3: Can this formula be used for metric units?
A: Yes, but all measurements must be consistent (e.g., all in millimeters) and the result will be in cubic millimeters per revolution.
Q4: What factors affect gerotor displacement accuracy?
A: Manufacturing tolerances, rotor profile accuracy, and thermal expansion can affect actual displacement compared to theoretical calculations.
Q5: How does gerotor displacement relate to pump flow rate?
A: Flow rate = Displacement × Speed. The displacement value calculated here is multiplied by the rotational speed to determine volumetric flow rate.