Gallons per hour to Cubic yards per second conversion

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

Converting gallons per hour (GPH) to cubic yards per second (yd³/s) involves a few steps since you have to handle both volume and time unit conversions. Here’s how to do it:

Conversion Steps

1. Convert Gallons to Cubic Yards:

   • We know that 1 gallon is equivalent to 0.00378541 cubic meters.
   • And 1 cubic meter is equivalent to approximately 1.30795 cubic yards.

   Combining these, $1 \text{ gallon} = 0.00378541 \text{ m}^3 \times 1.30795 \text{ yd}^3/\text{m}^3 = 0.00495113 \text{ yd}^3$

2. Convert Hours to Seconds:

   • 1 hour = 3600 seconds.

3. Combine the Conversions for GPH to yd³/s:

   $\text{Volume Flow Rate in cubic yards per second} = \frac{\text{Volume Flow Rate in gallons per hour} \times 0.00495113}{3600}$

   Applying this to 1 GPH: $1 \text{ GPH} = \frac{1 \times 0.00495113}{3600} \approx 1.3753 \times 10^{-6} \text{ yd}^3/\text{s}$

Application to Other Quantities

Let’s consider some practical examples where these conversions might be useful:

1. Household Water Usage:

   • An average shower uses about 2.1 gallons per minute.
   • Converting shower usage to cubic yards per second: $2.1 \text{ gallons per minute} = 2.1 \times 60 \text{ GPH} = 126 \text{ GPH}$ $126 \text{ GPH} \approx 1.3753 \times 10^{-6} \times 126 \approx 1.7335 \times 10^{-4} \text{ yd}^3/\text{s}$

2. Irrigation Systems:

   • A moderate-sized sprinkler system might dispense 1000 GPH.
   • Converting this to cubic yards per second: $1000 \text{ GPH} \approx 1.3753 \times 10^{-6} \times 1000 = 1.3753 \times 10^{-3} \text{ yd}^3/\text{s}$

3. Industrial Water Treatment Plant:

   • A larger scale water treatment plant might handle 25,000 GPH.
   • Converting 25,000 GPH to cubic yards per second: $25,000 \text{ GPH} \approx 1.3753 \times 10^{-6} \times 25000 = 0.0344 \text{ yd}^3/\text{s}$

Conclusion

The conversion process from gallons per hour to cubic yards per second involves converting both the volume unit (gallons to cubic yards) and the time unit (hours to seconds). The result is typically a very small number in cubic yards per second because the conversion factors introduce significant magnitude changes.