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Linear to Volumetric Flow Rate Converter

Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What is a Linear to Volumetric Flow Rate Converter?

Definition: This calculator converts linear flow velocity to volumetric flow rate in gallons per minute (GPM).

Purpose: It helps engineers and technicians determine volumetric flow when only linear velocity and pipe cross-section are known.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The linear velocity is multiplied by the cross-sectional area to get flow in ft³/s, then converted to GPM.

3. Importance of Flow Rate Conversion

Details: Accurate flow rate calculations are essential for pipe sizing, pump selection, and system design in hydraulic systems.

4. Using the Calculator

Tips: Enter the velocity in ft/s and cross-sectional area in ft². For circular pipes, area = π × (diameter/2)².

5. Frequently Asked Questions (FAQ)

Q1: Why 448.83 as the conversion factor?
A: This converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).

Q2: What's a typical velocity range for water in pipes?
A: Typically 2-8 ft/s for water, with 4-6 ft/s being most common in plumbing systems.

Q3: How do I calculate area for non-circular pipes?
A: Use appropriate formulas (e.g., width × height for rectangular ducts).

Q4: Can I use this for gases?
A: Yes, but ensure velocity and area units are consistent and consider compressibility effects at high pressures.

Q5: What if I know diameter instead of area?
A: First calculate area using A = π × r² where r is radius (diameter/2).

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