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Volumetric Flow Rate Velocity Calculator

Volumetric Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What is a Volumetric Flow Rate Calculator?

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

Purpose: It helps engineers, plumbers, and fluid system designers determine flow rates in pipes and channels.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The velocity multiplied by area gives flow in ft³/s, which is then converted to GPM.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations ensure proper system design, pump sizing, and pipe diameter selection.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83?
A: This converts cubic feet per second to gallons per minute (1 ft³ = 7.48052 gallons, 1 minute = 60 seconds).

Q2: What's a typical velocity for water in pipes?
A: Typically 2-5 ft/s for residential plumbing, 5-10 ft/s for industrial applications.

Q3: How do I calculate cross-sectional area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.

Q4: Does this work for any fluid?
A: Yes, but the velocity should be appropriate for the specific fluid's viscosity and density.

Q5: What if I have diameter instead of area?
A: First calculate area using \( \pi r^2 \) (radius in feet), then use this calculator.

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