Cubic feet per second to Centilitres per second conversion

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

Converting 1 cubic foot per second (cfs) to centilitres per second (cl/s) involves a few steps because we need to convert between different units of volume. Here are the steps:

1. Convert cubic feet to cubic inches:

   • There are 12 inches in a foot.
   • Thus, $\text{1 cubic foot} = 12 \times 12 \times 12 = 1728 \text{ cubic inches}$.

2. Convert cubic inches to cubic centimeters:

   • There are 2.54 centimeters in an inch.
   • Thus, $\text{1 cubic inch} = 2.54 \times 2.54 \times 2.54 = 16.387064 \text{ cubic centimeters}$.
   • Therefore, $\text{1 cubic foot} = 1728 \times 16.387064 \approx 28316.8466 \text{ cubic centimeters}$.

3. Convert cubic centimeters to centilitres:

   • There are 10 cubic centimeters in a centilitre.
   • Thus, $28316.8466 \text{ cubic centimeters} = 28316.8466 / 10 \approx 2831.68466 \text{ centilitres}$.

Therefore, $1 \text{ cubic foot per second} \approx 2831.68466 \text{ centilitres per second}$.

Real-world Examples of Other Quantities in Cubic Feet per Second:

1. River Flow:

   • A large river might have a flow rate of around 50,000 cfs. This would be equivalent to approximately $50,000 \times 2831.68466 \approx 141,584,233$ cl/s.

2. Fire Hoses:

   • High-performance fire hoses can discharge at rates around 300 cfs. This would be equivalent to about $300 \times 2831.68466 \approx 849,505.398$ cl/s.

3. Water Treatment Plants:

   • Municipal water treatment plants can handle flow rates on the order of 100 cfs, which translates to approximately $100 \times 2831.68466 \approx 283,168.466$ cl/s.

4. Sprinkler Systems:

   • Agricultural sprinkler systems might operate around 1 to 5 cfs. For 5 cfs, that would be $5 \times 2831.68466 \approx 14,158.4233$ cl/s.

5. HVAC Systems:

   • A large HVAC system might circulate air at a rate of 10 cfs, which translates to about $10 \times 2831.68466 \approx 28,316.8466$ cl/s.

By converting cubic feet per second to centilitres per second, we can appreciate the substantial quantities involved in natural and engineered systems.