Cubic Millimeters per second to Fluid Ounces per minute conversion

How to convert cubic millimeters per second to fluid ounces per minute?

To convert volume flow rates from cubic millimeters per second (mm³/s) to fluid ounces per minute (fl oz/min), you can follow these steps:

1. Understand the Conversion Factors:

   • 1 cubic millimeter (mm³) = 1 x 10^-6 liters (L) = 1 x 10^-6 cubic decimeters (dm³).
   • 1 fluid ounce (fl oz) (US) = approximately 0.0295735 liters (L).
   • There are 60 seconds in 1 minute.

2. Conversion Calculation:

   • First, convert mm³/s to L/s. $1 \text{ mm}³/\text{s} = 1 \times 10^{-6} \text{ L/s}$

   • Then, convert L/s to fl oz/s using the conversion factor. $1 \times 10^{-6} \text{ L/s} \div 0.0295735 \text{ L/fl oz} = 3.3814 \times 10^{-5} \text{ fl oz/s}$

   • Finally, convert fl oz/s to fl oz/min. $3.3814 \times 10^{-5} \text{ fl oz/s} \times 60 \text{ s/min} = 2.0288 \times 10^{-3} \text{ fl oz/min}$

So, 1 cubic millimeter per second is approximately equal to 0.00203 fluid ounces per minute.

Real World Examples for Other Quantities of Cubic Millimeters per Second

1. 5 mm³/s:

   $5 \times 1.0288 \times 10^{-3} \text{ fl oz/min} = 0.01015 \text{ fl oz/min}$

   • Example: If a liquid medicine is being administered at a rate of 5 mm³/s, it would be about 0.01015 fluid ounces per minute.

2. 50 mm³/s:

   $50 \times 1.0288 \times 10^{-3} \text{ fl oz/min} = 0.10144 \text{ fl oz/min}$

   • Example: A small water fountain might have a water flow of 50 mm³/s, which is approximately 0.10144 fluid ounces per minute.

3. 200 mm³/s:

   $200 \times 1.0288 \times 10^{-3} \text{ fl oz/min} = 0.40576 \text{ fl oz/min}$

   • Example: A laboratory experiment might need to pump a chemical at a rate of 200 mm³/s, equivalent to approximately 0.40576 fluid ounces per minute.

4. 1000 mm³/s:

   $1000 \times 1.0288 \times 10^{-3} \text{ fl oz/min} = 2.0288 \text{ fl oz/min}$

   • Example: A small industrial process might require a liquid feed at 1000 mm³/s, which is about 2.0288 fluid ounces per minute.

Summary

Each of these conversions involves multiplying the number of cubic millimeters per second by approximately 0.00203 to get fluid ounces per minute. This conversion can help to contextualize the flow rates in practical applications, such as medical dosing, laboratory experiments, or small industrial processes.