GPM to CFS Conversion Calculator

Conversion Formula:

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

Flow Rate (CFS):

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1. What is a GPM to CFS Conversion Calculator?

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

Purpose: It helps engineers, plumbers, and water resource professionals convert between these common flow rate units.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( Q_{cfs} \) — Flow rate in cubic feet per second
\( Q_{gpm} \) — Flow rate in gallons per minute
448.83 — Conversion factor (gallons per minute to cubic feet per second)

Explanation: The conversion factor 448.83 comes from the relationship between gallons and cubic feet, and minutes to seconds.

3. Importance of Flow Rate Conversion

Details: Different industries use different units for flow rates. Converting between them ensures accurate system design and specification.

4. Using the Calculator

Tips: Simply enter the flow rate in gallons per minute (GPM). The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83?
A: It's derived from 1 cubic foot = 7.48052 gallons and 1 minute = 60 seconds (7.48052 × 60 ≈ 448.83).

Q2: When would I need to convert GPM to CFS?
A: Common in hydraulic engineering, water supply design, and when working with specifications that use different units.

Q3: Is this conversion exact?
A: Yes, it's based on standard unit definitions, though rounding may occur in practical applications.

Q4: What's a typical GPM value for household plumbing?
A: A bathroom faucet might run at 1-2 GPM, while a shower head might be 2.5 GPM.

Q5: How do I convert back from CFS to GPM?
A: Multiply CFS by 448.83 to get GPM.