Convert CFS to GPM US

Conversion Formula:

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

Flow Rate (GPM): US gallons/min

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1. What is CFS to GPM Conversion?

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

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:

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

Where:

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

Explanation: The conversion factor accounts for both volume (1 ft³ = 7.4805 US gallons) and time (1 second = 1/60 minutes).

3. Importance of Flow Rate Conversion

Details: Different industries use different units - CFS is common in hydrology 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 (7.4805 gallons/ft³) with time conversion (60 seconds/minute): 7.4805 × 60 = 448.83.

Q2: What's the difference between US and Imperial gallons?
A: US gallon = 3.785 liters, Imperial gallon = 4.546 liters. This calculator uses US gallons.

Q3: When would I need to convert CFS to GPM?
A: When working with small pipe systems that use GPM after calculating flow rates in CFS from larger systems.

Q4: How accurate is this conversion?
A: The conversion factor is exact, not an approximation.

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