Cubic feet per hour to Gallons per minute conversion

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

To convert from cubic feet per hour (cfh) to gallons per minute (gpm), you can follow these steps:

1. Understand the conversion factors:

   • 1 cubic foot = 7.48052 gallons
   • 1 hour = 60 minutes

2. Convert cubic feet to gallons:

   • Multiply the number of cubic feet by the conversion factor to convert to gallons.
   • For example, 1 cubic foot = 1 * 7.48052 gallons = 7.48052 gallons.

3. Convert hours to minutes:

   • Divide the volume in gallons by the number of minutes in an hour.
   • For example, if the flow rate is in cubic feet per hour, you'll divide by 60 to convert to gallons per minute.

So the formula for conversion is: $\text{Gallons per minute (gpm)} = \frac{\text{Cubic feet per hour (cfh)} \times 7.48052}{60}$

Now, let's apply this formula to convert 1 cubic foot per hour to gallons per minute: $\text{gpm} = \frac{1 \text{ cfh} \times 7.48052}{60}$ $\text{gpm} = \frac{7.48052}{60}$ $\text{gpm} = 0.1246753$

So, 1 cubic foot per hour is approximately 0.1247 gallons per minute.

Real-World Examples:

1. 10 Cubic feet per hour to Gallons per minute: $\text{gpm} = \frac{10 \text{ cfh} \times 7.48052}{60} = \frac{74.8052}{60} = 1.246752$ So, 10 cfh ≈ 1.247 gpm.

2. 50 Cubic feet per hour to Gallons per minute: $\text{gpm} = \frac{50 \text{ cfh} \times 7.48052}{60} = \frac{374.026}{60} = 6.23377$ So, 50 cfh ≈ 6.234 gpm.

3. 100 Cubic feet per hour to Gallons per minute: $\text{gpm} = \frac{100 \text{ cfh} \times 7.48052}{60} = \frac{748.052}{60} = 12.46753$ So, 100 cfh ≈ 12.468 gpm.

4. 500 Cubic feet per hour to Gallons per minute: $\text{gpm} = \frac{500 \text{ cfh} \times 7.48052}{60} = \frac{3740.26}{60} = 62.3377$ So, 500 cfh ≈ 62.338 gpm.

These conversions can be useful in various real-world situations, such as determining the flow rates of water carrying pipelines, HVAC systems' air flow, or in calculating fluid flow rates in industrial processes.