Cubic Centimeters per second to Cubic yards per minute conversion

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

To convert from cubic centimeters per second (cm³/s) to cubic yards per minute (yd³/min), you need to follow a series of unit conversions:

1. Convert cubic centimeters to cubic meters.
2. Convert cubic meters to cubic yards.
3. Convert seconds to minutes.

Let's start with the basic conversions:

1. Cubic centimeters to cubic meters:

   1 cubic meter (m³) = 1,000,000 cubic centimeters (cm³)

   Therefore, 1 cm³ = $\frac{1}{1,000,000}$ m³

2. Cubic meters to cubic yards:

   1 cubic meter (m³) = 1.30795 cubic yards (yd³)

3. Seconds to minutes:

   1 minute = 60 seconds

Now, let's put it all together to convert 1 cm³/s to yd³/min:

1. Convert 1 cm³/s to m³/s: $1 \text{ cm³/s} = \frac{1}{1,000,000} \text{ m³/s} = 1 \times 10^{-6} \text{ m³/s}$

2. Convert 1 m³/s to yd³/s: $1 \times 10^{-6} \text{ m³/s} \times 1.30795 \frac{\text{yd³}}{\text{m³}} = 1.30795 \times 10^{-6} \text{ yd³/s}$

3. Convert yd³/s to yd³/min: $1.30795 \times 10^{-6} \text{ yd³/s} \times 60 \frac{\text{s}}{\text{min}} = 7.8477 \times 10^{-5} \text{ yd³/min}$

So, 1 cm³/s is equivalent to approximately 7.8477 × 10^-5 cubic yards per minute.

Real-World Examples for Other Quantities in cm³/s:

1. 10 cm³/s:

   $10 \text{ cm³/s} \approx 10 \times 7.8477 \times 10^{-5} \text{ yd³/min} \approx 7.8477 \times 10^{-4} \text{ yd³/min}$

2. 100 cm³/s:

   $100 \text{ cm³/s} \approx 100 \times 7.8477 \times 10^{-5} \text{ yd³/min} \approx 7.8477 \times 10^{-3} \text{ yd³/min}$

3. 1000 cm³/s:

   $1000 \text{ cm³/s} \approx 1000 \times 7.8477 \times 10^{-5} \text{ yd³/min} \approx 7.8477 \times 10^{-2} \text{ yd³/min}$

Real-World Applications:

• 10 cm³/s: This flow rate might be seen in small laboratory equipment, such as a peristaltic pump used for microfluidic applications.

• 100 cm³/s: This could represent the flow rate of a small fountain or an intravenous dripper at a medical facility.

• 1000 cm³/s: This rate could be found in larger-scale industrial applications, such as cooling systems for machinery or as part of water treatment facilities.