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Convert 1 Cfs To Gpm

Conversion Formula:

\[ GPM = CFS \times 448.8311688312 \]

ft³/s

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1. What Is CFS To GPM Conversion?

CFS (cubic feet per second) to GPM (gallons per minute) conversion is used to convert flow rate measurements between these two common units. This conversion is essential in hydraulic engineering, water resource management, and fluid dynamics applications.

2. How Does The Calculator Work?

The calculator uses the conversion formula:

\[ GPM = CFS \times 448.8311688312 \]

Where:

Explanation: The conversion factor is derived from the relationship between cubic feet and gallons (1 ft³ = 7.48051948 gallons) and seconds to minutes (1 minute = 60 seconds).

3. Importance Of Flow Rate Conversion

Details: Accurate flow rate conversion is crucial for water system design, irrigation planning, pump selection, and hydraulic calculations where different units are used in various engineering standards and applications.

4. Using The Calculator

Tips: Enter the flow rate in cubic feet per second (CFS). The value must be non-negative. The calculator will instantly convert it to gallons per minute (GPM).

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.8311688312?
A: This factor comes from multiplying 7.48051948 (gallons per cubic foot) by 60 (seconds per minute): 7.48051948 × 60 = 448.8311688

Q2: When would I need to convert CFS to GPM?
A: Common applications include water supply system design, fire protection engineering, irrigation system planning, and industrial process calculations where different units are standard.

Q3: What is a typical CFS value for a small stream?
A: Small streams typically range from 1-10 CFS, while larger rivers can exceed 1000 CFS. 1 CFS equals approximately 449 GPM.

Q4: How accurate is this conversion?
A: The conversion is mathematically exact based on standard unit definitions. Accuracy depends on the precision of your input measurement.

Q5: Can I convert GPM back to CFS?
A: Yes, use the inverse formula: CFS = GPM ÷ 448.8311688312

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