Cubic feet per minute to Fluid Ounces per second conversion

How to convert cubic feet per minute to fluid ounces per second?

To convert Cubic Feet per Minute (CFM) to Fluid Ounces per Second (fl oz/s), follow these steps:

1. Understand the Conversion Factors:

   • There are 12 inches in a foot.
   • Therefore, there are $12^3 = 1,728$ cubic inches in a cubic foot.
   • There are 231 cubic inches in a US gallon.
   • There are 128 fluid ounces in a US gallon.

2. Convert Cubic Feet to Cubic Inches:

   • Since 1 cubic foot (ft³) is equal to 1,728 cubic inches (in³).

3. Convert Cubic Inches to Gallons:

   • Since 1 gallon is 231 cubic inches, we can convert cubic inches to gallons by dividing by 231.

4. Convert Gallons to Fluid Ounces:

   • Since 1 gallon is 128 fluid ounces, we can convert gallons to fluid ounces by multiplying by 128.

Let's go through the conversion for 1 CFM step-by-step:

Step 1: Convert CFM to cubic inches per minute (in³/min): $1 \text{ CFM} = 1 \text{ ft³/min} \times 1,728 \text{ in³/ft³} = 1,728 \text{ in³/min}$

Step 2: Convert cubic inches per minute to gallons per minute (GPM): $1,728 \text{ in³/min} \div 231 \text{ in³/gallon} = 7.48 \text{ GPM}$

Step 3: Convert gallons per minute to fluid ounces per minute (fl oz/min): $7.48 \text{ GPM} \times 128 \text{ fl oz/gallon} = 957.44 \text{ fl oz/min}$

Step 4: Convert fluid ounces per minute to fluid ounces per second (fl oz/s): $957.44 \text{ fl oz/min} \div 60 \text{ s/min} \approx 15.96 \text{ fl oz/s}$

So, 1 CFM is approximately 15.96 fluid ounces per second.

Real World Examples for Other Quantities of Cubic Feet per Minute

1. Bathroom Exhaust Fan:

   • Typical CFM: 50 CFM.
   • Calculation: $50 \text{ CFM} \times 15.96 \text{ fl oz/s} = 798 \text{ fl oz/s}$.

2. Household Vacuum Cleaner:

   • Typical CFM: 100 CFM.
   • Calculation: $100 \text{ CFM} \times 15.96 \text{ fl oz/s} = 1,596 \text{ fl oz/s}$.

3. Central Air Conditioning Unit:

   • Typical CFM: 400 to 500 CFM.
   • Calculation for 400 CFM: $400 \text{ CFM} \times 15.96 \text{ fl oz/s} = 6,384 \text{ fl oz/s}$.
   • Calculation for 500 CFM: $500 \text{ CFM} \times 15.96 \text{ fl oz/s} = 7,980 \text{ fl oz/s}$.

4. Industrial Fan:

   • Typical CFM: 2,000 CFM.
   • Calculation: $2,000 \text{ CFM} \times 15.96 \text{ fl oz/s} = 31,920 \text{ fl oz/s}$.

By using these steps, you can convert any value of CFM to fluid ounces per second and understand it in more practical terms for various applications.