Cubic yards per hour to Cubic Centimeters per second conversion

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

To convert from cubic yards per hour to cubic centimeters per second, you need to follow a step-by-step conversion process. Here's a breakdown of the procedure:

1. Understand the Units Involved:

   • 1 cubic yard (yd³) is a volume unit.
   • 1 hour (hr) is a time unit.
   • You want to convert cubic yards (yd³) to cubic centimeters (cm³) and hours (hr) to seconds (s).

2. Conversion Factors:

   • 1 yard = 91.44 centimeters (so, 1 cubic yard = 91.44³ cubic centimeters).
   • 1 hour = 3600 seconds.

3. Volume Conversion:

   • $1 \text{ yd}^3 = (91.44 \text{ cm})^3 = 91.44^3 \text{ cm}^3$.
   • $91.44^3 = 764554.857984 \text{ cm}^3$.
   • So, $1 \text{ yd}^3 = 764554.857984 \text{ cm}^3$.

4. Time Conversion:

   • 1 hour = 3600 seconds.

5. Combine the Conversions:

   • To convert cubic yards per hour (yd³/hr) to cubic centimeters per second (cm³/s), you divide the volume conversion by the time conversion.
   • $1 \text{ yd}^3/\text{hr} = \frac{764554.857984 \text{ cm}^3}{3600 \text{ s}}$.
   • $1 \text{ yd}^3/\text{hr} = 212.376349 \text{ cm}^3/\text{s}$.

So, 1 cubic yard per hour is approximately 212.376349 cubic centimeters per second.

Real World Examples for Other Quantities of Cubic Yards per Hour

1. Construction Concrete Mixer:

   • A large concrete mixer at a construction site might have a flow rate of 10 cubic yards per hour.
   • Conversion: $10 \text{ yd}^3/\text{hr} = 10 \times 212.376349 \text{ cm}^3/\text{s} = 2123.76349 \text{ cm}^3/\text{s}$.

2. Excavation Machine:

   • An excavation machine in a mining operation might process 50 cubic yards per hour.
   • Conversion: $50 \text{ yd}^3/\text{hr} = 50 \times 212.376349 \text{ cm}^3/\text{s} = 10618.81745 \text{ cm}^3/\text{s}$.

3. Water Flow Rate in a Canal:

   • A small irrigation canal might have a water flow rate of 5 cubic yards per hour.
   • Conversion: $5 \text{ yd}^3/\text{hr} = 5 \times 212.376349 \text{ cm}^3/\text{s} = 1061.881745 \text{ cm}^3/\text{s}$.

4. Industrial Sand Blaster:

   • An industrial sandblaster might use sand at a rate of 2 cubic yards per hour.
   • Conversion: $2 \text{ yd}^3/\text{hr} = 2 \times 212.376349 \text{ cm}^3/\text{s} = 424.752698 \text{ cm}^3/\text{s}$.

These examples demonstrate how the conversion factor can be applied to various practical scenarios to understand the flow rates in different contexts.