Cubic feet per minute to Centilitres per second conversion

How to convert cubic feet per minute to centilitres per second?

To convert from cubic feet per minute (CFM) to centiliters per second (cL/s), you will need to use the appropriate conversion factors between these units.

1 cubic foot (ft³) is equal to approximately 28,316.8 cubic centimeters (cm³), as 1 ft = 30.48 cm, so: $1 \text{ cubic foot (ft³)} = 30.48 \text{ cm} \times 30.48 \text{ cm} \times 30.48 \text{ cm} \approx 28,316.8 \text{ cm}^3$

Since 1 cubic centimeter (cm³) is equal to 1 milliliter (mL), and there are 10 milliliters in a centiliter (cL): $1 \text{ ft³} = 28,316.8 \text{ mL} = 2,831.68 \text{ cL}$

Next, we consider the time conversion. There are 60 seconds in a minute, so to convert from a per-minute rate to a per-second rate, we divide by 60: $1 \text{ CFM} = 28,316.8 \text{ mL/min}$ $1 \text{ CFM} = 2,831.68 \text{ cL/min}$ $1 \text{ CFM} = \frac{2,831.68 \text{ cL/min}}{60}$ $1 \text{ CFM} = 47.1947 \text{ cL/s}$

So, 1 Cubic feet per minute (CFM) is approximately equal to 47.19 centiliters per second (cL/s).

Real World Examples of CFM

1. Air Conditioning Units:

   • A typical residential air conditioning unit might have an air flow rate of 400 to 600 CFM. This translates to: $400 \text{ CFM} = 400 \times 47.19 \text{ cL/s} \approx 18,876 \text{ cL/s}$ $600 \text{ CFM} = 600 \times 47.19 \text{ cL/s} \approx 28,314 \text{ cL/s}$

2. Bathroom Exhaust Fans:

   • Bathroom exhaust fans usually range from 50 to 100 CFM to ensure proper ventilation. This translates to: $50 \text{ CFM} = 50 \times 47.19 \text{ cL/s} \approx 2,360 \text{ cL/s}$ $100 \text{ CFM} = 100 \times 47.19 \text{ cL/s} \approx 4,718 \text{ cL/s}$

3. Industrial Ventilation Systems:

   • Large industrial ventilation systems may have flow rates of several thousand CFM. For example, a system rated at 2,000 CFM would be: $2,000 \text{ CFM} = 2,000 \times 47.19 \text{ cL/s} \approx 94,388 \text{ cL/s}$

These conversions can help illustrate how flow rates in cubic feet per minute can be translated into centiliters per second for various applications, making it easier to understand the scale of air movement and ventilation in different contexts.