Cubic yards per second to Cubic meters per hour conversion

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

Certainly! Converting cubic yards per second to cubic meters per hour involves a couple of steps as we change both the unit of volume (from cubic yards to cubic meters) and the unit of time (from seconds to hours).

Let's break it down:

1. Convert Cubic Yards to Cubic Meters:

   • 1 cubic yard (yd³) is equal to 0.764554857984 cubic meters (m³).

2. Convert Seconds to Hours:

   • There are 3600 seconds in an hour.

Now, let’s combine these conversions to go from cubic yards per second to cubic meters per hour.

Step-by-Step Conversion:

1. Start with the given value in cubic yards per second (yd³/s).
2. Multiply by the conversion factor to change cubic yards to cubic meters (0.764554857984 m³/yd³).
3. Multiply by the number of seconds in an hour (3600 s/hr) to complete the conversion to cubic meters per hour.

Conversion Formula:

$\text{Cubic meters per hour (m³/hr)} = \text{Cubic yards per second (yd³/s)} \times 0.764554857984 \, \text{(m³/yd³)} \times 3600 \, \text{(s/hr)}$

Calculation for 1 Cubic Yard per Second:

$1 \, \text{(yd³/s)} \times 0.764554857984 \, \text{(m³/yd³)} \times 3600 \, \text{(s/hr)} = 2752.3974887424 \, \text{(m³/hr)}$

So, 1 cubic yard per second is equal to 2752.3974887424 cubic meters per hour.

Real-World Examples:

1. River Flow Rate:

   • A river has a flow rate of 5 cubic yards per second.
   • Convert to cubic meters per hour: $5 \, \text{(yd³/s)} \times 2752.3974887424 \, \text{(m³/hr per yd³/s)} = 13761.987443712 \, \text{(m³/hr)}$

2. Water Pump Capacity:

   • An industrial water pump operates at 0.2 cubic yards per second.
   • Convert to cubic meters per hour: $0.2 \, \text{(yd³/s)} \times 2752.3974887424 \, \text{(m³/hr per yd³/s)} = 550.47949774848 \, \text{(m³/hr)}$

3. Flood Water Release:

   • During a flood, the dam releases water at a rate of 3 cubic yards per second.
   • Convert to cubic meters per hour: $3 \, \text{(yd³/s)} \times 2752.3974887424 \, \text{(m³/hr per yd³/s)} = 8257.1924662272 \, \text{(m³/hr)}$

These conversions help in understanding how vast volumes of fluids are managed in different scenarios.