Cubic yards per second to Cubic feet per hour conversion

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

Sure! To convert cubic yards per second (yd³/s) to cubic feet per hour (ft³/h), you'll need to account for two key conversion factors:

1. The conversion from cubic yards to cubic feet.
2. The conversion from seconds to hours.

1 cubic yard is equivalent to 27 cubic feet (since 1 yard = 3 feet, hence 1 yd³ = 3³ = 27 ft³).

There are 3600 seconds in an hour (since 1 hour = 60 minutes, and 1 minute = 60 seconds).

So, to convert 1 cubic yard per second to cubic feet per hour: $1 \text{ yd}^3/\text{s} \times 27 \text{ ft}^3/\text{yd}^3 \times 3600 \text{ s/h}$

Doing the multiplication: $1 \text{ yd}^3/\text{s} \times 27 \text{ ft}^3/\text{yd}^3 \times 3600 \text{ s/h} = 97200 \text{ ft}^3/\text{h}$

So, $1 \text{ yd}^3/\text{s}$ is equal to $97200 \text{ ft}^3/\text{h}$.

Real World Examples for Other Quantities of Cubic Yards per Second

1. River Discharge:

   • A small river might have a flow rate of 0.5 cubic yards per second.
     • $0.5 \text{ yd}^3/\text{s} \times 97200 \text{ ft}^3/\text{h}$
     • $0.5 \times 97200 = 48600 \text{ ft}^3/\text{h}$
   • This means the river discharges 48600 cubic feet of water per hour.

2. Water Treatment Plant:

   • A large water treatment plant might process 2 cubic yards per second of water.
     • $2 \text{ yd}^3/\text{s} \times 97200 \text{ ft}^3/\text{h}$
     • $2 \times 97200 = 194400 \text{ ft}^3/\text{h}$
   • This means the plant processes 194400 cubic feet of water per hour.

3. Flood Scenario:

   • During extreme flooding, a drainage system might need to handle 10 cubic yards per second.
     • $10 \text{ yd}^3/\text{s} \times 97200 \text{ ft}^3/\text{h}$
     • $10 \times 97200 = 972000 \text{ ft}^3/\text{h}$
   • This drainage system would need to manage 972000 cubic feet of water per hour.

4. Large Pipeline:

   • An industrial pipeline might transport 3 cubic yards per second of a liquid.
     • $3 \text{ yd}^3/\text{s} \times 97200 \text{ ft}^3/\text{h}$
     • $3 \times 97200 = 291600 \text{ ft}^3/\text{h}$
   • This pipeline would transport 291600 cubic feet of liquid per hour.

These examples show how flow rates in cubic yards per second can translate into substantial volumes when considered over an hour, and they help illustrate the magnitude of these flow rates in practical scenarios.