Gallons per second to Cubic feet per second conversion

How to convert gallons per second to cubic feet per second?

To convert gallons per second (gal/s) to cubic feet per second (ft³/s), you need to know the conversion factor between gallons and cubic feet. Here is the step-by-step process for the conversion:

1. Understand the conversion factor: One U.S. gallon is equal to approximately 0.133681 cubic feet.

2. Apply the conversion factor:

   • Given: 1 gal/s
   • Conversion factor: 1 gallon = 0.133681 cubic feet

   To convert gallons per second to cubic feet per second, you multiply by this conversion factor: $1 \text{ gal/s} \times 0.133681 \text{ ft}³/\text{gal} = 0.133681 \text{ ft}³/\text{s}$

So, 1 gallon per second is equivalent to 0.133681 cubic feet per second.

Real-World Examples

Here are some real-world examples for various quantities of flow rates in gallons per second:

1. Fire Hydrant:

   • A standard fire hydrant can discharge water at a rate of approximately 1,000 gallons per minute, which is around 16.67 gallons per second (gal/s).

   • Converting to cubic feet per second: $16.67 \text{ gal/s} \times 0.133681 \text{ ft}³/\text{gal} \approx 2.23 \text{ ft}³/\text{s}$

2. Domestic Shower Head:

   • A typical shower head flows at about 2.5 gallons per minute, which is approximately 0.042 gallons per second.

   • Converting to cubic feet per second: $0.042 \text{ gal/s} \times 0.133681 \text{ ft}³/\text{gal} \approx 0.00561 \text{ ft}³/\text{s}$

3. Waterfall:

   • A small waterfall might have a flow rate of 50 gallons per second.

   • Converting to cubic feet per second: $50 \text{ gal/s} \times 0.133681 \text{ ft}³/\text{gal} \approx 6.6841 \text{ ft}³/\text{s}$

4. Residential Pipe:

   • A residential water pipe might have a flow rate of 5 gallons per minute, or approximately 0.0833 gallons per second.

   • Converting to cubic feet per second: $0.0833 \text{ gal/s} \times 0.133681 \text{ ft}³/\text{gal} \approx 0.01114 \text{ ft}³/\text{s}$

These examples show how understanding the conversion between gallons per second and cubic feet per second is useful in various real-life scenarios.