Cubic feet per minute to Cubic Centimeters per second conversion

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

Sure! To convert from Cubic Feet per Minute (CFM) to Cubic Centimeters per Second (cm³/s), we need to follow these steps:

Conversion Steps:

1. Convert Cubic Feet to Cubic Centimeters:

   • 1 Cubic Foot (ft³) is equal to approximately 28,316.8 Cubic Centimeters (cm³).

2. Convert Minutes to Seconds:

   • 1 Minute is equal to 60 Seconds.

Step-by-Step Conversion:

1. Convert the volume from Cubic Feet to Cubic Centimeters: $1 \text{ ft³} = 28,316.8 \text{ cm³}$

2. Convert the time from Minutes to Seconds: $\text{Flow Rate} = 1 \text{ ft³/min} = 28,316.8 \text{ cm³/min}$

3. Convert Cubic Centimeters per Minute to Cubic Centimeters per Second: $28,316.8 \text{ cm³/min} \div 60 \text{ s/min} = 471.9467 \text{ cm³/s}$

Thus, $1 \text{ CFM}$ is equal to approximately $471.9467 \text{ cm³/s}$.

Real-World Examples for Different Quantities of CFM:

1. Household HVAC System:

   • A typical residential HVAC system may have a flow rate around 400-500 CFM.
     • Conversion: $400 \text{ CFM} \times 471.9467 \text{ cm³/s per CFM} \approx 188,778.68 \text{ cm³/s}$

2. Automotive Combustion Engine (Turbocharged):

   • A high-performance turbocharger might have a flow rate of roughly 600 CFM.
     • Conversion: $600 \text{ CFM} \times 471.9467 \text{ cm³/s per CFM} \approx 283,168.02 \text{ cm³/s}$

3. Industrial Air Compressors:

   • An industrial air compressor might have a flow rate of around 1000 CFM.
     • Conversion: $1000 \text{ CFM} \times 471.9467 \text{ cm³/s per CFM} \approx 471,946.7 \text{ cm³/s}$

4. Bathroom Exhaust Fan:

   • A typical bathroom exhaust fan might measure around 50 CFM.
     • Conversion: $50 \text{ CFM} \times 471.9467 \text{ cm³/s per CFM} = 23,597.335 \text{ cm³/s}$

These conversions help illustrate how airflow rates in different sizes and types of systems can be compared both in common industry units like CFM and in more precise units like cm³/s.