Cubic Centimeters per second to Cubic feet per minute conversion

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

To convert cubic centimeters per second (cm³/s) to cubic feet per minute (ft³/min), you can follow these steps:

1. Convert cubic centimeters to cubic feet:

   • We know that 1 cubic foot is equal to 28,316.8466 cubic centimeters.
   • Therefore, $1 \text{ cm}³ = \frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}$.

2. Convert seconds to minutes:

   • There are 60 seconds in one minute.

Given these two conversions, you can set up the conversion from cm³/s to ft³/min as follows:

$\text{Value in ft}³/\text{min} = (\text{Value in cm}³/\text{s}) \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$

Now, let's apply this formula to convert 1 cm³/s to ft³/min:

$1 \text{ cm}³/\text{s} = 1 \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$

$= \frac{60 \text{ ft}³}{28,316.8466}$

$\approx 0.00211888 \text{ ft}³/\text{min}$

So, 1 cm³/s is approximately 0.00211888 ft³/min.

Real-World Examples

1. Aquarium Pump:

   • Let's say an average aquarium pump has a flow rate of about 300 cm³/s.
   • To convert this:

   $300 \text{ cm}³/\text{s} = 300 \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$ $\approx 0.635664 \text{ ft}³/\text{min}$

2. Irrigation System:

   • A standard drip irrigation system might have a flow rate of around 50 cm³/s.
   • To convert this:

   $50 \text{ cm}³/\text{s} = 50 \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$ $\approx 0.105944 \text{ ft}³/\text{min}$

3. Small Fountain:

   • A small decorative fountain might use about 10 cm³/s of water flow.
   • To convert this:

   $10 \text{ cm}³/\text{s} = 10 \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$ $\approx 0.0211888 \text{ ft}³/\text{min}$

4. Perfusion System in Lab:

   • A perfusion system in a biomedical lab might use a flow rate of 5 cm³/s.
   • To convert this:

   $5 \text{ cm}³/\text{s} = 5 \times \left(\frac{1 \text{ ft}³}{28,316.8466 \text{ cm}³}\right) \times 60$ $\approx 0.0105944 \text{ ft}³/\text{min}$

By understanding and applying these conversion steps, you can handle conversions for various instances of volume flow rates in different units.