Gallons per second to Cubic feet per hour conversion

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

To convert gallons per second (gal/s) to cubic feet per hour (ft³/hr), you'll need to follow these steps:

1. Determine the Conversion Factors:

   • 1 US gallon is equivalent to approximately 0.133681 cubic feet.
   • There are 3600 seconds in an hour.

2. Set Up the Conversion:

   • To convert 1 gallon per second to cubic feet per hour, first convert from gallons to cubic feet and then from seconds to hours.

3. Perform the Conversion: $\text{Volume flow rate} = 1 \, \text{gal/s} \times 0.133681 \, \text{ft}^3/\text{gal} \times 3600 \, \text{s/hr}$.

   Let's break this down:

   • Converting gallons to cubic feet: $1 \, \text{gal/s} = 1 \, \text{gal/s} \times 0.133681 \, \text{ft}^3/\text{gal} = 0.133681 \, \text{ft}^3/\text{s}$.

   • Converting seconds to hours: $0.133681 \, \text{ft}^3/\text{s} \times 3600 \, \text{s/hr} = 481.2516 \, \text{ft}^3/\text{hr}$.

So, 1 gallon per second is equivalent to 481.2516 cubic feet per hour.

Real-world Examples for Other Quantities of Gallons per Second

1. Fire Hydrant Flow Rate:

   • A typical fire hydrant may release water at a rate of 1.5 gallons per second (gal/s).
   • Conversion to cubic feet per hour: $1.5 \, \text{gal/s} = 1.5 \times 0.133681 \, \text{ft}^3/\text{s} \times 3600 \, \text{s/hr} \approx 721.8774 \, \text{ft}^3/\text{hr}$.

2. Irrigation Systems:

   • Large agricultural irrigation systems might operate at 0.2 gallons per second.
   • Conversion to cubic feet per hour: $0.2 \, \text{gal/s} = 0.2 \times 0.133681 \, \text{ft}^3/\text{s} \times 3600 \, \text{s/hr} \approx 96.2503 \, \text{ft}^3/\text{hr}$.

3. Fountain Flow Rate:

   • A medium-sized decorative fountain might circulate water at 0.05 gallons per second.
   • Conversion to cubic feet per hour: $0.05 \, \text{gal/s} = 0.05 \times 0.133681 \, \text{ft}^3/\text{s} \times 3600 \, \text{s/hr} \approx 24.0626 \, \text{ft}^3/\text{hr}$.

4. River Flow Measurement:

   • A small stream may have a flow rate of 0.8 gallons per second.
   • Conversion to cubic feet per hour: $0.8 \, \text{gal/s} = 0.8 \times 0.133681 \, \text{ft}^3/\text{s} \times 3600 \, \text{s/hr} \approx 385.0013 \, \text{ft}^3/\text{hr}$.

These conversions and real-world examples show how versatile and useful understanding this unit conversion can be in various practical scenarios.