Cubic meters per second to Cubic yards per hour conversion

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

To convert cubic meters per second (m³/s) to cubic yards per hour (yd³/h), you'll need to follow these steps:

1. Understand the unit relationships:

   • 1 cubic meter (m³) = 1.30795 cubic yards (yd³)
   • 1 hour = 3600 seconds

2. Conversion Formula: To find cubic yards per hour from cubic meters per second, use the following conversion:

   $\text{Cubic yards per hour (yd³/h)} = \text{Cubic meters per second (m³/s)} \times 1.30795 \times 3600$

3. Example Calculation for 1 m³/s: $1 \, \text{m³/s} = 1 \times 1.30795 \times 3600 = 4708.62 \, \text{yd³/h}$

So, 1 cubic meter per second is equivalent to 4708.62 cubic yards per hour.

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

1. River Flow:

   • A large river might have a flow rate of around 500 m³/s.
   • Conversion: $500 \, \text{m³/s} = 500 \times 4708.62 \, \text{yd³/h} = 2,354,310 \, \text{yd³/h}$

2. Pumping Station:

   • A high-capacity water treatment plant might handle around 10 m³/s.
   • Conversion: $10 \, \text{m³/s} = 10 \times 4708.62 \, \text{yd³/h} = 47,086.2 \, \text{yd³/h}$

3. Industrial Cooling Systems:

   • An industrial facility might use 2 m³/s of cooling water.
   • Conversion: $2 \, \text{m³/s} = 2 \times 4708.62 \, \text{yd³/h} = 9,417.24 \, \text{yd³/h}$

4. Municipal Water Supply:

   • A large city might distribute 20 m³/s of drinking water.
   • Conversion: $20 \, \text{m³/s} = 20 \times 4708.62 \, \text{yd³/h} = 94,172.4 \, \text{yd³/h}$

These examples illustrate how different flow rates in cubic meters per second can be converted to cubic yards per hour to understand the scale of volumetric flow in different real-world scenarios.