Cubic Centimeters per second to Cubic feet per second conversion

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

To convert Cubic Centimeters per Second (cm³/s) to Cubic Feet per Second (ft³/s), you need to know the conversion factor between cubic centimeters and cubic feet. Here is the step-by-step process:

1. Conversion Factor:

   • 1 cubic foot (ft³) = 28,316.8466 cubic centimeters (cm³).

2. Conversion Formula:

   • To convert cubic centimeters per second to cubic feet per second, you divide the number of cubic centimeters by the conversion factor (28,316.8466).
   • The formula is: $\text{Cubic Feet per Second} = \frac{\text{Cubic Centimeters per Second}}{28,316.8466}$

3. Example Calculation:

   • Convert 1 cm³/s to ft³/s.
   • $1 \text{ cm³/s} = \frac{1 \text{ cm³/s}}{28,316.8466} = 3.53147 \times 10^{-5} \text{ ft³/s}$

Real-World Examples

Now, let's explore some real-world examples with different quantities of cubic centimeters per second:

1. Water Faucet:

   • A typical kitchen faucet might flow at a rate of about 2200 cm³/s (which tops around 8.06 cubic feet/hour).
   • Conversion: $2200 \text{ cm³/s} = \frac{2200}{28,316.8466} \approx 0.0777 \text{ ft³/s}$

2. Garden Hose:

   • A garden hose might flow water at around 10,000 cm³/s when fully open.
   • Conversion: $10,000 \text{ cm³/s} = \frac{10,000}{28,316.8466} \approx 0.3531 \text{ ft³/s}$

3. Small Stream:

   • A small stream might have a flow rate of 50,000 cm³/s.
   • Conversion: $50,000 \text{ cm³/s} = \frac{50,000}{28,316.8466} \approx 1.767 \text{ ft³/s}$

4. Fire hose:

   • A fire hose could discharge water at the rate of approximately 1,900,000 cm³/s.
   • Conversion: $1,900,000 \text{ cm³/s} = \frac{1,900,000}{28,316.8466} \approx 67.06 \text{ ft³/s}$

5. Industrial Pump:

   • Some industrial pumps might have a flow rate of around 5,000,000 cm³/s.
   • Conversion: $5,000,000 \text{ cm³/s} = \frac{5,000,000}{28,316.8466} \approx 176.57 \text{ ft³/s}$

Summary

The conversion process from cm³/s to ft³/s involves dividing the given cm³/s value by 28,316.8466. Real-world flow rates can vary significantly depending on the context, from domestic water systems to industrial applications.