Cubic Centimeters per second to Cubic yards per hour conversion

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

Converting cubic centimeters per second (cc/s or cm³/s) to cubic yards per hour (yd³/h) involves a few steps to properly handle the units. Here’s a step-by-step guide:

1. Convert Cubic Centimeters to Cubic Yards
   There are 1,000,000 cubic centimeters in a cubic meter, and there are 765,366 cubic centimeters in a cubic yard since 1 cubic yard = 0.76455485798 cubic meters. So we first find how many cubic centimeters are in a cubic yard:

   $1 \text{ cubic yard} = (1 \text{ cubic meter}) \times (1,000,000 \text{ cm}^3/\text{m}^3) = 1,000,000 \text{ cm}^3$

   Since $1 \text{ cubic yard} ≈ 0.76455485798 \text{ cubic meters}$, $1 \text{ cubic yard} ≈ 0.76455485798 \times 1,000,000 \text{ cm}^3 = 764554.85798 \text{ cm}^3$

2. Convert Cubic Centimeters per Second to Cubic Centimeters per Hour There are 3600 seconds in an hour. So, to convert volume flow rate from cubic centimeters per second to cubic centimeters per hour:

   $1 \text{ cm}^3/\text{s} \times 3600 = 3600 \text{ cm}^3/\text{h}$

3. Combine Both Conversion Factors Using the above conversions, we can now convert cubic centimeters per hour to cubic yards per hour.

   $1 \text{ cm}^3/\text{s} = 3600 \text{ cm}^3/\text{h}$ And since $1 \text{ cubic yard} ≈ 764554.85798 \text{ cm}^3$,

   $\frac{3600 \text{ cm}^3/\text{h}}{764554.85798 \text{ cm}^3/\text{yard}^3} ≈ 4.71 \times 10^{-3} \text{ yd}^3/\text{h}$

So, 1 cubic centimeter per second is approximately 0.00471 cubic yards per hour.

Real World Examples for Other Quantities of Cubic Centimeters per Second:

1. Engine Oil Flow in a Car: Depending on the engine, the oil pump might deliver around 5-15 cm³/s, which translates to: $5 \text{ cm}^3/\text{s} ≈ 5 \times 0.00471 \text{ yd}^3/\text{h} = 0.02355 \text{ yd}^3/\text{h}$ and $15 \text{ cm}^3/\text{s} ≈ 15 \times 0.00471 \text{ yd}^3/\text{h} = 0.07065 \text{ yd}^3/\text{h}$

2. Drip Irrigation System: A typical drip emitter might release water at a rate of approximately 2 cm³/s: $2 \text{ cm}^3/\text{s} ≈ 2 \times 0.00471 \text{ yd}^3/\text{h} = 0.00942 \text{ yd}^3/\text{h}$

3. Fuel Injection in Automotive Engines: Modern fuel injectors might inject fuel at rates around 10-20 cm³/s: $10 \text{ cm}^3/\text{s} ≈ 10 \times 0.00471 \text{ yd}^3/\text{h} = 0.0471 \text{ yd}^3/\text{h}$ and $20 \text{ cm}^3/\text{s} ≈ 20 \times 0.00471 \text{ yd}^3/\text{h} = 0.0942 \text{ yd}^3/\text{h}$

These examples illustrate how different flow rates in cubic centimeters per second translate to cubic yards per hour, providing a sense of scale for various industrial and everyday applications.