Cubic Millimeters per second to Cubic feet per minute conversion

How to convert cubic millimeters per second to cubic feet per minute?

To convert from cubic millimeters per second (mm³/s) to cubic feet per minute (ft³/min), you can follow these steps:

1. Convert cubic millimeters to cubic feet:

   • 1 cubic millimeter (mm³) is equal to $3.53147 \times 10^{-8}$ cubic feet (ft³).
   • So, to convert cubic millimeters to cubic feet: $\text{1 mm³} = 3.53147 \times 10^{-8} \text{ ft³}$

2. Convert seconds to minutes:

   • 1 second (s) is equal to $\frac{1}{60}$ minutes (min).

3. Combine these conversions:

   • To convert from cubic millimeters per second to cubic feet per minute: $1 \text{ mm³/s} \times 3.53147 \times 10^{-8} \text{ ft³} \times 60 \text{ s/min} = 2.11888 \times 10^{-6} \text{ ft³/min}$

So, 1 cubic millimeter per second is equivalent to $2.11888 \times 10^{-6}$ cubic feet per minute.

Real World Examples

Here are some examples of other quantities of cubic millimeters per second (mm³/s) converted to cubic feet per minute (ft³/min):

1. 100 mm³/s: $100 \text{ mm³/s} = 100 \times 2.11888 \times 10^{-6} \text{ ft³/min} = 2.11888 \times 10^{-4} \text{ ft³/min}$

2. 1,000 mm³/s (1 liter per second): $1,000 \text{ mm³/s} = 1,000 \times 2.11888 \times 10^{-6} \text{ ft³/min} = 2.11888 \times 10^{-3} \text{ ft³/min}$

3. 10,000 mm³/s: $10,000 \text{ mm³/s} = 10,000 \times 2.11888 \times 10^{-6} \text{ ft³/min} = 2.11888 \times 10^{-2} \text{ ft³/min}$

4. 100,000 mm³/s (100 liters per second, typical flow rate for a medium size industrial pump): $100,000 \text{ mm³/s} = 100,000 \times 2.11888 \times 10^{-6} \text{ ft³/min} = 2.11888 \times 10^{-1} \text{ ft³/min}$

5. 1,000,000 mm³/s (1 cubic meter per second): $1,000,000 \text{ mm³/s} = 1,000,000 \times 2.11888 \times 10^{-6} \text{ ft³/min} = 2.11888 \text{ ft³/min}$

These conversions can be useful in various fields such as engineering, fluid dynamics, and HVAC (Heating, Ventilation, and Air Conditioning) systems. For instance, an HVAC engineer might need to convert air flow rates between different units when designing or analyzing air distribution systems.