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Volume Flow Rate to Velocity Calculator

Velocity Formula:

\[ V = \frac{Q}{A \times 448.83} \]

GPM
ft²
ft/s

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1. What is a Volume Flow Rate to Velocity Calculator?

Definition: This calculator converts volumetric flow rate to fluid velocity using the cross-sectional area of flow.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{Q}{A \times 448.83} \]

Where:

Explanation: The flow rate is converted from GPM to cubic feet per second, then divided by the cross-sectional area to get velocity.

3. Importance of Velocity Calculation

Details: Proper velocity calculation ensures efficient system design, prevents erosion, and maintains optimal flow conditions.

4. Using the Calculator

Tips: Enter the flow rate in GPM and cross-sectional area in square feet. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 448.83 used in the formula?
A: It converts gallons per minute (GPM) to cubic feet per second (1 GPM = 0.002228 ft³/s, inverse is 448.83).

Q2: What's a typical pipe flow velocity?
A: For water systems, 2-5 ft/s is common, with 4-6 ft/s for main lines and 1-3 ft/s for branch lines.

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: Can I use this for non-water fluids?
A: Yes, as long as you're working in GPM and ft² units, the formula works for any liquid.

Q5: What if I have diameter instead of area?
A: First calculate area using \( A = \pi \times r^2 \) where r is radius in feet.

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