Cubic feet per minute to Teaspoons per second conversion

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

To convert cubic feet per minute (CFM) to teaspoons per second (tsp/s), you'll need to use the appropriate conversion factors.

1 Cubic foot (ft³) is equivalent to 5,787.04 teaspoons (tsp). 1 minute (min) is equivalent to 60 seconds (s).

You can set up the conversion like this:

1. Start with the volume flow rate in cubic feet per minute.
2. Convert cubic feet to teaspoons.
3. Convert minutes to seconds.

Let's go through the calculation:

1. Convert 1 cubic foot to teaspoons: $1 \text{ ft}³ = 5,787.04 \text{ tsp}$

2. Since we are given the flow rate as per minute and we want it in per second, divide by 60: $\frac{5,787.04 \text{ tsp}}{1 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ s}} = \frac{5,787.04 \text{ tsp}}{60 \text{ s}} = 96.4507 \text{ tsp/s}$

So, 1 cubic foot per minute is equivalent to approximately 96.4507 teaspoons per second.

Real World Examples for Other Quantities of Cubic Feet per Minute (CFM):

1. Room Ventilation:

   • A typical home ventilation system might operate at about 100 CFM.
   • Converting this to teaspoons per second: $100 \text{ CFM} \times 96.4507 \text{ tsp/s per CFM} = 9,645.07 \text{ tsp/s}$

2. Industrial Exhaust Fans:

   • A large industrial exhaust fan could operate at around 10,000 CFM.
   • Converting this to teaspoons per second: $10,000 \text{ CFM} \times 96.4507 \text{ tsp/s per CFM} = 964,507 \text{ tsp/s}$

3. Computer Cooling Fan:

   • A small computer CPU fan might operate at about 5 CFM.
   • Converting this to teaspoons per second: $5 \text{ CFM} \times 96.4507 \text{ tsp/s per CFM} = 482.2535 \text{ tsp/s}$

4. Automotive Air Intake:

   • An engine air intake system might have a flow rate of around 300 CFM.
   • Converting this to teaspoons per second: $300 \text{ CFM} \times 96.4507 \text{ tsp/s per CFM} = 28,935.21 \text{ tsp/s}$

These examples illustrate how the conversion is useful across different contexts, from residential ventilation to industrial applications and device cooling.