Cubic Centimeters per second to Cubic inches per minute conversion

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

To convert Cubic Centimeters per Second (cm³/s) to Cubic Inches per Minute (in³/min), you need to perform two conversions:

1. Convert cubic centimeters to cubic inches.
2. Convert seconds to minutes.

Conversion Factors

1. Cubic Centimeters to Cubic Inches:

   • 1 cubic centimeter (cm³) is equal to approximately 0.0610237 cubic inches (in³).

2. Seconds to Minutes:

   • There are 60 seconds in a minute.

Conversion Formula

To convert cm³/s to in³/min, use the formula: $\text{Cubic Inches per Minute} = \text{Cubic Centimeters per Second} \times \frac{0.0610237\, \text{in}^3}{\text{cm}^3} \times 60\, \frac{\text{s}}{\text{min}}$

Example Calculation

For 1 cm³/s:

$1\, \text{cm}^3/\text{s} \times 0.0610237\, \text{in}^3/\text{cm}^3 \times 60\, \text{s}/\text{min}$ $= 1 \times 0.0610237 \times 60$ $= 3.661422 \, \text{in}^3/\text{min}$

Thus, 1 cubic centimeter per second is equal to approximately 3.661422 cubic inches per minute.

Real-World Examples

1. 5 cm³/s:

   • Conversion: $5 \times 3.661422 = 18.30711\, \text{in}^3/\text{min}$

2. 10 cm³/s:

   • Conversion: $10 \times 3.661422 = 36.61422\, \text{in}^3/\text{min}$

3. 20 cm³/s:

   • Conversion: $20 \times 3.661422 = 73.22844\, \text{in}^3/\text{min}$

Realistic Contexts

• Automotive Fuel Systems: Fuel injectors may deliver fuel at a rate of around 0.5 to 2 cm³/s, which equates to about 1.830711 to 7.322841 in³/min.
• Medical IV Drips: IV drips might deliver medication at a rate of 0.1 cm³/s, equating to approximately 0.3661422 in³/min.
• Industrial Pumps: Some industrial pumps might have a flow rate of 50 cm³/s, which converts to roughly 183.0711 in³/min.

Understanding these conversions can help in various engineering, medical, and other scientific applications where precise volume flow rates are crucial.