Cubic feet per second to Cubic inches per second conversion

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

To convert 1 cubic foot per second (ft³/s) to cubic inches per second (in³/s), you need to know the relationship between cubic feet and cubic inches. There are 12 inches in one foot, so one cubic foot is equal to:

$1 \text{ ft} \times 1 \text{ ft} \times 1 \text{ ft} = 12 \text{ in} \times 12 \text{ in} \times 12 \text{ in} = 1728 \text{ in}³$

Therefore, to convert cubic feet per second to cubic inches per second, you multiply by 1728:

$1 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 1728 \text{ in}³/\text{s}$

So, 1 cubic foot per second is equivalent to 1728 cubic inches per second.

Real-world Examples of Different Quantities in Cubic Feet per Second

1. Fire Hydrant Flow Rate: A typical fire hydrant may discharge approximately 500 ft³/s when fully opened, equivalent to: $500 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 864,000 \text{ in}³/\text{s}$

2. River Discharge: A small river might have a flow rate of 1000 ft³/s. This amounts to: $1000 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 1,728,000 \text{ in}³/\text{s}$

3. Garden Hose: A typical garden hose delivers water at roughly 0.25 ft³/s. This can be converted to cubic inches per second as follows: $0.25 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 432 \text{ in}³/\text{s}$

4. Industrial Pumps: An industrial water pump may have a flow rate of roughly 10 ft³/s. This translates to: $10 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 17,280 \text{ in}³/\text{s}$

5. Aqueduct Flow: Certain aqueducts delivering water for cities may have flow rates around 300 ft³/s. This would be: $300 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 518,400 \text{ in}³/\text{s}$

These examples illustrate how the flow rates in cubic feet per second can be significant in various real-world applications, ranging from simple household uses to large-scale water management systems.