Cubic feet per hour to Gallons per second conversion

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

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

1. Convert cubic feet to gallons: There are 7.48052 gallons in a cubic foot.

2. Convert hours to seconds: There are 3600 seconds in an hour.

Here's the step-by-step conversion for 1 cubic foot per hour (ft³/hr):

1. Convert cubic feet to gallons: $1 \, \text{ft³/hr} \times 7.48052 \, \text{gallons/ft³} = 7.48052 \, \text{gallons/hr}$

2. Convert hours to seconds: $7.48052 \, \text{gallons/hr} \div 3600 \, \text{seconds/hr} = 0.002078 \, \text{gallons/sec}$

So, 1 cubic foot per hour is approximately 0.002078 gallons per second.

Real World Examples for Other Quantities of Cubic Feet per Hour

1. Residential Water Use:

   • A typical household may use about 400 cubic feet of water per month. This is approximately $13.33 \, \text{ft³/day}$ or about $0.555 \, \text{ft³/hr}$.
   • Converting $0.555 \, \text{ft³/hr}$ to gallons per second: $0.555 \times 7.48052 \div 3600 \approx 0.00115 \, \text{gal/s}$

2. Air Flow in HVAC Systems:

   • A residential HVAC system might have an air flow rate of about 400 cubic feet per minute (cfm). Converting this to cubic feet per hour: $400 \, \text{cfm} \times 60 \, \text{minutes/hr} = 24000 \, \text{ft³/hr}$
   • Converting $24000 \, \text{ft³/hr}$ to gallons per second: $24000 \times 7.48052 \div 3600 \approx 49.9 \, \text{gal/s}$

3. Industrial Flow Rates:

   • An industrial paint sprayer might have a flow rate of 5 cubic feet per hour.
   • Converting $5 \, \text{ft³/hr}$ to gallons per second: $5 \times 7.48052 \div 3600 \approx 0.0104 \, \text{gal/s}$

4. Water Supply Pipe Flow:

   • A small water supply pipe might have a flow rate of 50 cubic feet per hour.
   • Converting $50 \, \text{ft³/hr}$ to gallons per second: $50 \times 7.48052 \div 3600 \approx 0.104 \, \text{gal/s}$

These examples illustrate how various cubic feet per hour rates can be converted to gallons per second and provide context for real-world applications.