Cubic feet per second to Cubic yards per hour conversion

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

To convert from cubic feet per second (cfs) to cubic yards per hour (cy/h), you need to understand the relationship between these units.

1 cubic yard is equal to 27 cubic feet (since a yard is 3 feet, and volume is calculated in cubic terms: 3 feet x 3 feet x 3 feet = 27 cubic feet).

Let's break down the conversion:

Step-by-Step Conversion

1. Convert cubic feet per second to cubic feet per hour:

There are 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour).

So, to convert from cfs to cubic feet per hour (cf/h): $1 \, \text{cfs} = 1 \, \text{cubic foot/second} \times 3600 \, \text{seconds/hour} = 3600 \, \text{cubic feet/hour}$

2. Convert cubic feet per hour to cubic yards per hour:

As established, 1 cubic yard equals 27 cubic feet. $1 \, \text{cy} = 27 \, \text{cf}$

So, to convert from cubic feet per hour to cubic yards per hour: $\text{cy/h} = \frac{\text{cf/h}}{27}$

Putting it together: $\frac{3600 \, \text{cf/h}}{27} \approx 133.33 \, \text{cy/h}$

Therefore, 1 cubic foot per second is approximately 133.33 cubic yards per hour.

Real-World Examples

1. River Flow Rate:

A river might have a flow rate of 500 cfs. To convert this to cubic yards per hour: $500 \, \text{cfs} \times 133.33 \, \frac{\text{cy}}{\text{h}} = 66,665 \, \text{cy/h}$

2. Water Treatment Plant:

A water treatment plant might process 250 cfs. Converting this to cubic yards per hour: $250 \, \text{cfs} \times 133.33 \, \frac{\text{cy}}{\text{h}} = 33,332.5 \, \text{cy/h}$

3. Firefighting Operations:

A high-capacity firefighting pump might deliver 10 cfs. Converting this to cubic yards per hour: $10 \, \text{cfs} \times 133.33 \, \frac{\text{cy}}{\text{h}} = 1,333.3 \, \text{cy/h}$

These examples illustrate how different flow rates can be expressed and understood in terms of cubic yards per hour, which might be more common in different engineering and practical applications.