Cubic feet per hour to Cubic inches per second conversion

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

To convert cubic feet per hour (ft³/hr) to cubic inches per second (in³/s), you'll need to know the following conversion factors:

1. There are 12 inches in a foot.
2. Therefore, there are $12^3 = 1,728$ cubic inches in a cubic foot.
3. There are 3,600 seconds in an hour.

To convert 1 cubic foot per hour (ft³/hr) to cubic inches per second (in³/s):

$1 \text{ ft}^3/\text{hr} = 1 \text{ ft}^3 \times \left(\frac{1,728 \text{ in}^3}{1 \text{ ft}^3}\right) \times \left(\frac{1 \text{ hr}}{3,600 \text{ s}}\right)$

This simplifies to:

$1 \text{ ft}^3/\text{hr} = \frac{1,728 \text{ in}^3}{3,600 \text{ s}}$

$1 \text{ ft}^3/\text{hr} = \frac{1,728}{3,600} \text{ in}^3/\text{s}$

$1 \text{ ft}^3/\text{hr} \approx 0.48 \text{ in}^3/\text{s}$

So, 1 cubic foot per hour is approximately 0.48 cubic inches per second.

Real World Examples

To provide context, here are a few real-world examples for different quantities of cubic feet per hour:

1. Household plumbing:

   • A typical residential water softener might flow around 2 cubic feet per hour.
   • 2 ft³/hr → 2 × 0.48 ≈ 0.96 in³/s.

2. Aquarium filtration system:

   • A small aquarium filter might have a flow rate of about 10 cubic feet per hour.
   • 10 ft³/hr → 10 × 0.48 ≈ 4.8 in³/s.

3. Industrial piping:

   • A medium-sized industrial pipe might handle a flow rate of 500 cubic feet per hour.
   • 500 ft³/hr → 500 × 0.48 ≈ 240 in³/s.

4. HVAC system:

   • A commercial HVAC system might have air flow rates around 1,000 cubic feet per hour.
   • 1,000 ft³/hr → 1,000 × 0.48 ≈ 480 in³/s.

These conversions can be useful in various engineering, environmental science, and everyday contexts where different units of volume flow rate are needed.