Gallons per hour to Cubic feet per second conversion

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

To convert gallons per hour (GPH) to cubic feet per second (CFS), you need to follow a couple of conversion steps because gallons and cubic feet are units of volume, while hours and seconds are units of time.

Here's the step-by-step process:

1. Convert gallons to cubic feet:

   • 1 gallon is equivalent to 0.133681 cubic feet.

2. Convert hours to seconds:

   • 1 hour is equivalent to 3600 seconds.

So, for a flow rate of 1 gallon per hour:

1. First, convert gallons to cubic feet: $1 \, \text{GPH} \times 0.133681 \, \frac{\text{cubic feet}}{\text{gallon}} = 0.133681 \, \text{cubic feet per hour}$

2. Next, convert hours to seconds: $0.133681 \, \frac{\text{cubic feet}}{\text{hour}} \div 3600 \, \frac{\text{seconds}}{\text{hour}} = 3.71361 \times 10^{-5} \, \text{cubic feet per second} \, (\text{CFS})$

So, 1 gallon per hour is approximately $3.71361 \times 10^{-5}$ cubic feet per second.

Real World Examples:

1. Garden Hose:

   • A typical garden hose might have a flow rate of about 500 gallons per hour.
   • To convert this to cubic feet per second: $500 \, \text{GPH} \times 0.133681 \, \frac{\text{cubic feet}}{\text{gallon}} \div 3600 \, \frac{\text{seconds}}{\text{hour}} \approx 0.01857 \, \text{CFS}$

2. Small Creek:

   • A small creek might have a flow rate of about 1000 gallons per hour.
   • To convert: $1000 \, \text{GPH} \times 0.133681 \, \frac{\text{cubic feet}}{\text{gallon}} \div 3600 \, \frac{\text{seconds}}{\text{hour}} \approx 0.03714 \, \text{CFS}$

3. Home Water Use:

   • An average household might use about 2400 gallons of water per day, which is approximately 100 gallons per hour.
   • To convert: $100 \, \text{GPH} \times 0.133681 \, \frac{\text{cubic feet}}{\text{gallon}} \div 3600 \, \frac{\text{seconds}}{\text{hour}} \approx 0.0037136 \, \text{CFS}$

4. Fire Hydrant:

   • A fire hydrant might discharge water at a rate of up to 2500 gallons per minute, which is 150,000 gallons per hour.
   • To convert: $150,000 \, \text{GPH} \times 0.133681 \, \frac{\text{cubic feet}}{\text{gallon}} \div 3600 \, \frac{\text{seconds}}{\text{hour}} \approx 5.57 \, \text{CFS}$

These examples demonstrate how flow rates in gallons per hour can be converted to cubic feet per second and provide a variety of contexts where such conversions might be practical.