Cubic feet per second to Cubic inches per hour conversion

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

Sure, let's break down the conversion and provide some real-world examples for different quantities of cubic feet per second.

Conversion: Cubic Feet per Second to Cubic Inches per Hour

1. Identify the conversion factors:

   • 1 cubic foot (ft³) = 12 inches × 12 inches × 12 inches = 1,728 cubic inches (in³).
   • 1 hour (hr) = 3,600 seconds (s).

2. Perform the conversion:

   • Start with the flow rate in cubic feet per second (ft³/s).
   • Convert cubic feet to cubic inches by multiplying by 1,728.
   • Convert per second to per hour by multiplying by 3,600.

So, to convert 1 cubic foot per second to cubic inches per hour: $1 \text{ ft³/s} \times 1,728 \text{ in³/ft³} \times 3,600 \text{ s/hr} = 6,220,800 \text{ in³/hr}$

Thus, 1 cubic foot per second is equal to 6,220,800 cubic inches per hour.

Real-World Examples for Different Quantities of Cubic Feet per Second

1. River Flow Rate:

   • A small river might have a flow rate of about 10 cubic feet per second. $10 \, \text{ft³/s} \times 6,220,800 \, \text{in³/hr} = 62,208,000 \, \text{in³/hr}$
   • Meaning the river is flowing at a rate of 62,208,000 cubic inches per hour.

2. Culvert Discharge:

   • A culvert might discharge water at 0.5 cubic feet per second. $0.5 \, \text{ft³/s} \times 6,220,800 \, \text{in³/hr} = 3,110,400 \, \text{in³/hr}$
   • So, it's discharging 3,110,400 cubic inches per hour.

3. Fire Hydrant Flow Rate:

   • A fire hydrant might have a flow rate of 1.5 cubic feet per second when fully opened. $1.5 \, \text{ft³/s} \times 6,220,800 \, \text{in³/hr} = 9,331,200 \, \text{in³/hr}$
   • Equivalent to 9,331,200 cubic inches per hour.

4. Industrial Water Usage:

   • An industrial setting might use 20 cubic feet per second for cooling purposes. $20 \, \text{ft³/s} \times 6,220,800 \, \text{in³/hr} = 124,416,000 \, \text{in³/hr}$
   • This translates to 124,416,000 cubic inches per hour.

These examples highlight how the flow rates in cubic feet per second are used in various contexts, ranging from natural water bodies to urban infrastructure and industrial applications.