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Flow Rate Equation GPM

Flow Rate Formula:

\[ Q = V \times A \times 448.83 \]

ft/s
ft²
GPM

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1. What is the Flow Rate Equation GPM?

Definition: This calculator determines the volumetric flow rate in gallons per minute (GPM) based on fluid velocity and cross-sectional area.

Purpose: It helps engineers, plumbers, and fluid system designers calculate flow rates for pipes, channels, and other conduits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = V \times A \times 448.83 \]

Where:

Explanation: The formula converts the basic volumetric flow rate (V × A) from cubic feet per second to gallons per minute.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations are essential for proper system design, pump selection, and ensuring adequate fluid delivery.

4. Using the Calculator

Tips: Enter the fluid velocity in ft/s and the cross-sectional area in ft². Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83?
A: It combines 7.48052 (gallons per cubic foot) and 60 (seconds per minute): 7.48052 × 60 ≈ 448.83.

Q2: How do I find the cross-sectional area?
A: For circular pipes: A = π × (diameter/2)². For rectangular channels: A = width × height.

Q3: What's a typical velocity for water in pipes?
A: Residential plumbing: 4-8 ft/s. Industrial systems: up to 10 ft/s depending on application.

Q4: Can this be used for gases?
A: Yes, but gas flow rates are often measured in different units (CFM, SCFM).

Q5: How does pipe diameter affect flow rate?
A: Flow rate increases with the square of the diameter (for the same velocity).

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