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Linear Velocity Formula Calculator

Linear Velocity Formula:

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

GPM
ft²

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1. What is a Linear Velocity Calculator?

Definition: This calculator determines the linear velocity of a fluid based on its volumetric flow rate and the cross-sectional area of the pipe or channel.

Purpose: It helps engineers and technicians calculate fluid velocity in piping systems, which is crucial for system design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula converts volumetric flow rate to linear velocity by accounting for the pipe's cross-sectional area and unit conversions.

3. Importance of Linear Velocity Calculation

Details: Proper velocity calculation ensures efficient system operation, prevents erosion or sedimentation, and helps maintain desired flow characteristics.

4. Using the Calculator

Tips: Enter the volumetric flow rate in GPM and the cross-sectional area in square feet. Both values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of 448.83 in the formula?
A: This is the conversion factor from gallons per minute to cubic feet per second (1 GPM = 0.002228 ft³/s).

Q2: What's a typical velocity range for water in pipes?
A: For water systems, 2-5 ft/s is common for supply lines, while 5-10 ft/s might be used for fire protection systems.

Q3: How do I calculate cross-sectional area for a round pipe?
A: Use \( A = \pi \times (D/2)^2 \) where D is the pipe diameter in feet.

Q4: Can I use this for gases or other fluids?
A: Yes, but ensure all units are consistent and consider fluid properties for complete analysis.

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

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