Cubic inches per minute to Cubic feet per second conversion

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

To convert cubic inches per minute (in³/min) to cubic feet per second (ft³/s), you need to use the following conversion factors:

1. There are 1728 cubic inches in a cubic foot (since 12 inches per foot cubed: $12 \times 12 \times 12 = 1728$).
2. There are 60 seconds in a minute.

Conversion Steps

1. Convert cubic inches per minute to cubic feet per minute: $\text{Cubic feet per minute} = \frac{\text{Cubic inches per minute}}{1728}$
2. Convert cubic feet per minute to cubic feet per second: $\text{Cubic feet per second} = \frac{\text{Cubic feet per minute}}{60}$

Applying the Conversion to 1 in³/min

1. Convert 1 cubic inch per minute to cubic feet per minute: $\text{Cubic feet per minute} = \frac{1 \text{ in³/min}}{1728} = 0.0005787 \text{ ft³/min}$
2. Convert 0.0005787 cubic feet per minute to cubic feet per second: $\text{Cubic feet per second} = \frac{0.0005787 \text{ ft³/min}}{60} \approx 9.645 \times 10^{-6} \text{ ft³/s}$

So, 1 cubic inch per minute is approximately $9.645 \times 10^{-6}$ cubic feet per second.

Real-World Examples for Other Quantities of Cubic Inches per Minute

1. 10,000 in³/min:

   • Convert to cubic feet per minute: $\text{Cubic feet per minute} = \frac{10000 \text{ in³/min}}{1728} \approx 5.787 \text{ ft³/min}$
   • Convert to cubic feet per second: $\text{Cubic feet per second} = \frac{5.787 \text{ ft³/min}}{60} \approx 0.09645 \text{ ft³/s}$

2. 5,000 in³/min:

   • Convert to cubic feet per minute: $\text{Cubic feet per minute} = \frac{5000 \text{ in³/min}}{1728} \approx 2.8936 \text{ ft³/min}$
   • Convert to cubic feet per second: $\text{Cubic feet per second} = \frac{2.8936 \text{ ft³/min}}{60} \approx 0.04823 \text{ ft³/s}$

3. 1,000 in³/min:

   • Convert to cubic feet per minute: $\text{Cubic feet per minute} = \frac{1000 \text{ in³/min}}{1728} \approx 0.5787 \text{ ft³/min}$
   • Convert to cubic feet per second: $\text{Cubic feet per second} = \frac{0.5787 \text{ ft³/min}}{60} \approx 0.009645 \text{ ft³/s}$

4. 100 in³/min:

   • Convert to cubic feet per minute: $\text{Cubic feet per minute} = \frac{100 \text{ in³/min}}{1728} \approx 0.05787 \text{ ft³/min}$
   • Convert to cubic feet per second: $\text{Cubic feet per second} = \frac{0.05787 \text{ ft³/min}}{60} \approx 0.0009645 \text{ ft³/s}$

These examples give an idea of how different quantities of cubic inches per minute can be converted into more practical units like cubic feet per second, which may be used in engineering and fluid dynamics scenarios.