Cubic feet per hour to Cubic inches per hour conversion

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

To convert cubic feet per hour to cubic inches per hour, you need to know the conversion factor between cubic feet and cubic inches.

1 cubic foot is equal to 1,728 cubic inches (since 1 foot = 12 inches, and $12^3 = 1,728$ cubic inches).

So, to convert cubic feet per hour to cubic inches per hour, you multiply the volume in cubic feet by 1,728.

Conversion Example

Let's convert 1 cubic foot per hour to cubic inches per hour:

$1 \text{ cubic foot per hour} \times 1,728 \text{ cubic inches per cubic foot} = 1,728 \text{ cubic inches per hour}$

Real-World Examples

Now let's look at a few more examples for different quantities:

1. 3 Cubic feet per hour to Cubic inches per hour: $3 \text{ cubic feet per hour} \times 1,728 = 5,184 \text{ cubic inches per hour}$

2. 0.5 Cubic feet per hour to Cubic inches per hour: $0.5 \text{ cubic feet per hour} \times 1,728 = 864 \text{ cubic inches per hour}$

3. 10 Cubic feet per hour to Cubic inches per hour: $10 \text{ cubic feet per hour} \times 1,728 = 17,280 \text{ cubic inches per hour}$

Real-World Contexts

1. HVAC Systems: Ventilation and air conditioning systems often specify air flow rates in cubic feet per hour. Understanding this in cubic inches can help when dealing with smaller ductwork sections or components.

   • For example, a small residential HVAC unit might move air at 100 cubic feet per hour (cf/h), which is $100 \times 1,728 = 172,800$ cubic inches per hour.

2. Water Flows: Aquariums or small water features, which are often specified in cubic feet per hour, can be converted to cubic inches per hour to understand the flow rate through smaller pipes or nozzles.

   • If a pump moves water at 5 cubic feet per hour, $5 \text{ cubic feet per hour} \times 1,728 = 8,640 \text{ cubic inches per hour}$

3. Gas Meters: Small gas flow meters in scientific experiments or small gas-powered engines might also specify flow rates in cubic feet per hour.

   • A gas meter measuring at 15 cubic feet per hour, $15 \text{ cubic feet per hour} \times 1,728 = 25,920 \text{ cubic inches per hour}$

These examples illustrate how converting between cubic feet per hour and cubic inches per hour can be useful in various practical scenarios.