Cubic feet per hour to Cups per second conversion

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

To convert from cubic feet per hour (cfh) to cups per second (cps), you need to know the following conversions:

1. There are 7.48052 gallons in a cubic foot.
2. There are 16 cups in a gallon.
3. There are 3600 seconds in an hour (since 1 hour = 60 minutes and 1 minute = 60 seconds).

Now let's perform the conversion step-by-step.

First, convert cubic feet to gallons: $1 \text{ cubic foot} = 7.48052 \text{ gallons}$

Next, convert gallons to cups: $7.48052 \text{ gallons} \times 16 \text{ cups/gallon} = 119.68832 \text{ cups}$

Since we are dealing with per hour, we need to convert cups per hour to cups per second: $119.68832 \text{ cups/hour} ÷ 3600 \text{ seconds/hour} ≈ 0.03324 \text{ cups/second}$

So, 1 cubic foot per hour is approximately equal to 0.03324 cups per second.

Real-World Examples

Here are some real-world equivalents for other quantities of cubic feet per hour:

1. 10 Cubic Feet per Hour:

   • Conversion Step-by-Step: $10 \text{ cfh} = 10 \times 0.03324 \text{ cps} = 0.3324 \text{ cps}$
   • Application:
     • This could be the flow rate of a small water fountain.

2. 100 Cubic Feet per Hour:

   • Conversion Step-by-Step: $100 \text{ cfh} = 100 \times 0.03324 \text{ cps} = 3.324 \text{ cps}$
   • Application:
     • This might be similar to the flow rate of a household water softener system.

3. 1000 Cubic Feet per Hour:

   • Conversion Step-by-Step: $1000 \text{ cfh} = 1000 \times 0.03324 \text{ cps} = 33.24 \text{ cps}$
   • Application:
     • This could be the flow rate through a large commercial water filter system.

4. 5000 Cubic Feet per Hour:

   • Conversion Step-by-Step: $5000 \text{ cfh} = 5000 \times 0.03324 \text{ cps} = 166.2 \text{ cps}$
   • Application:
     • This might represent the flow rate of water in an industrial cooling system.

By understanding the conversion and having these real-world examples, you gain a clearer picture of what different rates of cubic feet per hour look like when translated to cups per second.