Cubic Centimeters per second to Cubic yards per second conversion

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

To convert from cubic centimeters per second (cc/s or cm³/s) to cubic yards per second (yd³/s), you have to use the conversion factors between the different volume units:

1 cubic yard = 27 cubic feet 1 cubic foot = 1,728 cubic inches 1 cubic inch = 16.387 cubic centimeters (cm³)

Using these conversion factors:

1 cubic yard = 27 * 1,728 * 16.387 cm³ = 46,656 * 16.387 = 765,765.072 cm³

So, the conversion factor from cubic centimeters to cubic yards is 1 cubic yard = 765,765.072 cubic centimeters (cm³).

To convert 1 cubic centimeter per second to cubic yards per second:

$\text{Volume in cubic yards per second} = \frac{\text{Volume in cm³/s}}{\text{Conversion Factor}}$

$1 \, \text{cm³/s} = \frac{1}{765,765.072} \, \text{yd³/s} \approx 1.31 \times 10^{-6} \, \text{yd³/s}$

So, 1 cubic centimeter per second is approximately $1.31 \times 10^{-6}$ cubic yards per second.

Real-World Examples

1. Respiratory flow rates in medical settings:

   • An inhalation/exhalation flow rate for a healthy adult can be around 500 cm³/s (tidal volume in normal breathing).
     • Converting: $500 \, \text{cm³/s} \approx 500 \times 1.31 \times 10^{-6} \, \text{yd³/s} \approx 0.000655 \, \text{yd³/s}$

2. Droplet generation in printing technologies:

   • An inkjet printer might emit ink at a flow rate of about 5 cm³/s.
     • Converting: $5 \, \text{cm³/s} \approx 5 \times 1.31 \times 10^{-6} \, \text{yd³/s} \approx 6.55 \times 10^{-6} \, \text{yd³/s}$

3. Water flow from a small fountain:

   • A small decorative water fountain might circulate water at a rate of about 100 cm³/s.
     • Converting: $100 \, \text{cm³/s} \approx 100 \times 1.31 \times 10^{-6} \, \text{yd³/s} \approx 0.000131 \, \text{yd³/s}$

4. Blood flow:

   • The aortic blood flow rate of an athlete during strenuous activity can be about 1,000 cm³/s.
     • Converting: $1,000 \, \text{cm³/s} \approx 1,000 \times 1.31 \times 10^{-6} \, \text{yd³/s} \approx 0.00131 \, \text{yd³/s}$

These examples help to illustrate various real-world contexts in which the concept of flow rate in cubic centimeters per second can be applied and understood.