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Converting CFS to GPM

Flow Rate Conversion Formula:

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

ft³/s

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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 engineers, plumbers, and water management professionals 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:

Explanation: The conversion factor accounts for both volume (1 ft³ = 7.48052 gallons) and time (1 second = 1/60 minutes).

3. Importance of Flow Rate Conversion

Details: Different industries use different units - CFS is common in large-scale water management while GPM is used in plumbing and smaller systems.

4. Using the Calculator

Tips: Simply enter the flow rate in cubic feet per second (CFS). The value must be > 0.

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 systems that use different units, like comparing river flow (CFS) to pump capacity (GPM).

Q3: How precise is this conversion?
A: The factor 448.83 is precise enough for most practical applications, though the exact value is 448.8311688.

Q4: Can I convert GPM back to CFS?
A: Yes, divide GPM by 448.83 to get CFS.

Q5: What's a typical CFS value for household water?
A: Household water systems typically measure in GPM (e.g., 5-10 GPM). 1 CFS equals about 449 GPM.

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