Cubic inches per hour to Cubic feet per minute conversion

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

To convert from cubic inches per hour to cubic feet per minute, you need to use the following relationships:

1 cubic foot = 12 inches × 12 inches × 12 inches = 1,728 cubic inches 1 hour = 60 minutes

So, to convert from cubic inches per hour to cubic feet per minute, you follow these steps:

Step-by-Step Conversion:

1. Understand the conversion factors:

   • There are 1,728 cubic inches in 1 cubic foot.
   • There are 60 minutes in 1 hour.

2. Set up the conversion formula:

$\text{Cubic Feet per Minute (CFM)} = \frac{\text{Cubic Inches per Hour (CIH)}}{1,728} \times \frac{1}{60}$

3. Convert 1 cubic inch per hour to cubic feet per minute:

$\text{CFM} = \frac{1 \, \text{CIH}}{1,728} \times \frac{1}{60}$ $\text{CFM} = \frac{1}{1,728 \times 60}$ $\text{CFM} = \frac{1}{103,680} \approx 9.65 \times 10^{-6} \, \text{CFM}$

So, 1 cubic inch per hour is approximately 9.65 × 10⁻⁶ cubic feet per minute.

Real-World Examples:

1. Airflow in Small Devices:

   • A small electronic cooling fan might move air at a rate of around 10,000 cubic inches per hour.
   • Converting: $\text{CFM} = \frac{10,000}{1,728 \times 60} \approx 0.0965 \, \text{CFM}$

2. Liquid Flow in Aquariums:

   • A small aquarium pump might circulate water at a rate of 5,000 cubic inches per hour to maintain healthy conditions for fish.
   • Converting: $\text{CFM} = \frac{5,000}{1,728 \times 60} \approx 0.0483 \, \text{CFM}$

3. Industrial Equipment:

   • In an industrial setting, a machine might use lubricant at a rate of 50,000 cubic inches per hour.
   • Converting: $\text{CFM} = \frac{50,000}{1,728 \times 60} \approx 0.482 \, \text{CFM}$

These examples illustrate how cubic inches per hour can be converted to cubic feet per minute and how this measurement might be relevant in various real-world applications ranging from small devices to industrial machinery.