Cm3/rev To Gpm

GPM Formula:

\[ GPM = \frac{cm³/rev \times RPM}{3785.411784} \]

Flow Rate (GPM):

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1. What is the GPM Calculation?

The GPM (Gallons Per Minute) calculation converts pump displacement and rotational speed into flow rate. This is essential for hydraulic systems, pump sizing, and fluid dynamics applications where flow rate needs to be determined from mechanical specifications.

2. How Does the Calculator Work?

The calculator uses the GPM formula:

\[ GPM = \frac{cm³/rev \times RPM}{3785.411784} \]

Where:

\( cm³/rev \) — Pump displacement in cubic centimeters per revolution
\( RPM \) — Rotational speed in revolutions per minute
\( 3785.411784 \) — Conversion factor (cubic centimeters to gallons)

Explanation: The formula multiplies the displacement per revolution by the number of revolutions per minute, then converts from cubic centimeters to gallons using the standard conversion factor.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is crucial for pump selection, system design, hydraulic efficiency analysis, and ensuring proper fluid delivery in industrial, agricultural, and mechanical applications.

4. Using the Calculator

Tips: Enter pump displacement in cm³/rev and rotational speed in RPM. Both values must be positive numbers. The calculator will provide the flow rate in gallons per minute.

5. Frequently Asked Questions (FAQ)

Q1: What is pump displacement?
A: Pump displacement refers to the volume of fluid moved per revolution of the pump shaft, measured in cubic centimeters per revolution (cm³/rev).

Q2: Why use 3785.411784 as the conversion factor?
A: This is the exact conversion factor from cubic centimeters to US gallons (1 gallon = 3785.411784 cm³).

Q3: Can this formula be used for all types of pumps?
A: This formula works for positive displacement pumps (gear pumps, piston pumps, vane pumps) but may need adjustment for centrifugal pumps which have different flow characteristics.

Q4: How accurate is this calculation?
A: The calculation provides theoretical flow rate. Actual flow may vary due to pump efficiency, viscosity, pressure, and system losses.

Q5: What if I need flow rate in different units?
A: You can convert the result to other units (L/min, m³/h) using standard conversion factors after obtaining the GPM value.