Cubic feet per minute to Cups per second conversion

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

To convert from cubic feet per minute (CFM) to cups per second, you need to know the conversion factors between the units involved:

1. There are 1 cubic foot = 1,728 cubic inches (since $12 \times 12 \times 12 = 1,728$).
2. There are 1 cup = 14.4375 cubic inches.

Given: 1 cubic foot per minute (cfm) = 1,728 cubic inches per minute.

Now, convert cubic inches per minute to cups per minute: $1,728 \, \text{cubic inches per minute} \times \frac{1 \, \text{cup}}{14.4375 \, \text{cubic inches}} = 1,728 \div 14.4375 \, \text{cups per minute}$

$1,728 \div 14.4375 \approx 119.62 \, \text{cups per minute}$

Next, convert cups per minute to cups per second: $119.62 \, \text{cups per minute} \times \frac{1 \, \text{minute}}{60 \, \text{seconds}} = 119.62 \div 60 \, \text{cups per second}$

$119.62 \div 60 \approx 1.9937 \, \text{cups per second}$

Therefore, 1 cubic foot per minute is approximately 1.9937 cups per second.

Real-World Examples for Other Quantities of CFM

1. Residential HVAC Systems:

   • A typical residential HVAC system might have a flow rate of 400 to 1,000 CFM.
   • 500 CFM is roughly equivalent to: $500 \times 1.9937 \approx 996.85 \, \text{cups per second}$

2. Bathroom Ventilation Fans:

   • Bathroom ventilation fans generally have a flow rate of 50 to 100 CFM.
   • 70 CFM is roughly equivalent to: $70 \times 1.9937 \approx 139.56 \, \text{cups per second}$

3. Large Commercial Air Handling Units:

   • A large commercial air handling unit might have a flow rate of around 15,000 to 20,000 CFM.
   • 16,000 CFM is roughly equivalent to: $16,000 \times 1.9937 \approx 31,899.2 \, \text{cups per second}$

4. Industrial Exhaust Systems:

   • Industrial exhaust systems can go up to 50,000 CFM or more.
   • 50,000 CFM is roughly equivalent to: $50,000 \times 1.9937 \approx 99,685 \, \text{cups per second}$

These conversions give a practical sense of the flow rates in different contexts, helping to understand the scale and applications of air flow in various settings.