Cubic feet per second to Gallons per hour conversion

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

Certainly! To convert cubic feet per second (CFS) to gallons per hour (GPH), you need to know the relationship between these units:

1 cubic foot = 7.48052 gallons. 1 hour = 3600 seconds.

So, to convert from cubic feet per second to gallons per hour, you can use the following steps:

1. Convert cubic feet to gallons: $1 \text{ cubic foot/second} \times 7.48052 \text{ gallons/cubic foot}$

2. Convert seconds to hours: $\text{Since there are 3600 seconds in an hour, you multiply by 3600}$

Putting it all together: $1 \text{ cubic foot/second} = 1 \times 7.48052 \times 3600 \text{ gallons/hour}$

$1 \text{ cubic foot/second} = 7.48052 \times 3600 = 26,930 \text{ gallons/hour}$

So, 1 cubic foot per second is equivalent to 26,930 gallons per hour.

Real-World Examples for Other Quantities:

1. 0.5 Cubic Feet per Second: $0.5 \text{ cubic feet/second} = 0.5 \times 7.48052 \times 3600 = 13,465 \text{ gallons/hour}$

2. 2 Cubic Feet per Second: $2 \text{ cubic feet/second} = 2 \times 7.48052 \times 3600 = 53,860 \text{ gallons/hour}$

3. 5 Cubic Feet per Second: $5 \text{ cubic feet/second} = 5 \times 7.48052 \times 3600 = 134,650 \text{ gallons/hour}$

Real-World Applications:

1. River Flow: Many rivers are gauged in cubic feet per second (CFS). For instance, a small river might have a flow rate of 3 CFS. Converting this: $3 \text{ cubic feet/second} = 3 \times 7.48052 \times 3600 = 80,790 \text{ gallons/hour}$

2. Fire Hydrants: A large fire hydrant might deliver water at a rate of 1.5 CFS. $1.5 \text{ cubic feet/second} = 1.5 \times 7.48052 \times 3600 = 40,395 \text{ gallons/hour}$

3. Irrigation Systems: An agricultural irrigation system might deliver water at a rate of 0.25 CFS. $0.25 \text{ cubic feet/second} = 0.25 \times 7.48052 \times 3600 = 6,732.5 \text{ gallons/hour}$

These conversions help in understanding the large volumes of water flow in different real-world contexts.