Cubic yards per second to Gallons per hour conversion

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

To convert cubic yards per second to gallons per hour, you need to follow a few conversion steps. Here is the step-by-step breakdown:

1. Convert Cubic Yards to Cubic Feet:

   • 1 cubic yard is equivalent to 27 cubic feet because a yard is 3 feet, so $(3 \text{ ft})^3 = 27 \text{ cubic feet}$.

2. Convert Cubic Feet to Gallons:

   • 1 cubic foot is equivalent to approximately 7.48052 gallons.

3. Convert Cubic Yards per Second to Gallons per Second:

   • 1 cubic yard per second is $27$ cubic feet per second.
   • $27 \text{ cubic feet per second} \times 7.48052 \text{ gallons per cubic foot} = 201.97396 \text{ gallons per second}$.

4. Convert Gallons per Second to Gallons per Hour:

   • Since there are 3600 seconds in an hour, multiply by 3600.
   • $201.97396 \text{ gallons per second} \times 3600 \text{ seconds per hour} = 727106.256 \text{ gallons per hour}$.

So, 1 cubic yard per second is equivalent to approximately $727106.256$ gallons per hour.

Real World Examples for Other Quantities of Cubic Yards per Second

1. Small Creek Flow:

   • Small creeks might have a flow rate of around 0.01 cubic yards per second.
   • Convert to gallons per hour: $0.01$ cubic yards per second $\approx 7271.06$ gallons per hour.

2. Medium River Flow:

   • A medium-sized river might have a flow rate of around 1 cubic yard per second.
   • Convert to gallons per hour: $1$ cubic yard per second $\approx 727106.256$ gallons per hour.

3. Large River or Dam Release:

   • A large river or dam release might have a flow rate of around 50 cubic yards per second.
   • Convert to gallons per hour: $50$ cubic yards per second $\approx 36,355,312.8$ gallons per hour.

4. Industrial Water Pumping:

   • An industrial pumping system for irrigation or water supply might pump around 0.5 cubic yards per second.
   • Convert to gallons per hour: $0.5$ cubic yards per second $\approx 363,553.128$ gallons per hour.

These examples illustrate various flow rates found in natural and industrial contexts, showcasing the versatility and necessity of understanding such conversions.