Conversion CFS to GPM

Flow Rate Conversion Formula:

\[ Q_{gpm} = Q_{cfs} \times 448.83 \]

Flow Rate (GPM):

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1. What is CFS to GPM Conversion?

Definition: This calculator converts flow rate from cubic feet per second (CFS) to gallons per minute (GPM).

Purpose: It helps hydraulic engineers, plumbers, and water system designers work with different flow rate units.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q_{gpm} = Q_{cfs} \times 448.83 \]

Where:

\( Q_{gpm} \) — Flow rate in gallons per minute
\( Q_{cfs} \) — Flow rate in cubic feet per second
448.83 — Conversion factor (1 ft³/s = 448.83 gpm)

Explanation: The conversion factor accounts for both volume (1 ft³ = 7.48052 gallons) and time (1 minute = 60 seconds) conversions.

3. Importance of Flow Rate Conversion

Details: Different industries use different flow rate units, and conversions are essential for system design, pump selection, and regulatory compliance.

4. Using the Calculator

Tips: Simply enter the flow rate in cubic feet per second (CFS) and the calculator will provide the equivalent in gallons per minute (GPM).

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83?
A: It combines volume conversion (1 ft³ = 7.48052 gallons) with time conversion (60 seconds/minute): 7.48052 × 60 = 448.8312.

Q2: When would I need to convert CFS to GPM?
A: When working with US customary units where pipe sizes are often in inches but flow requirements may be specified in CFS.

Q3: What's a typical CFS value for residential water systems?
A: Typical home water supply might be 0.003-0.01 CFS (1.5-4.5 GPM).

Q4: How accurate is this conversion?
A: The conversion is mathematically exact, though practical measurements may have instrumentation errors.

Q5: Can I convert GPM back to CFS?
A: Yes, divide GPM by 448.83 to get CFS.