Cubic feet per second to Cubic kilometers per second conversion

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

To convert from cubic feet per second (CFS) to cubic kilometers per second (km³/s), you need to use the following conversion factors:

1. Cubic feet to cubic kilometers:

   • Since 1 foot = 0.3048 meters, then 1 cubic foot is (0.3048 meters)³.
   • Therefore, 1 cubic foot = $0.028316846592$ cubic meters (exactly).
   • And we convert cubic meters to cubic kilometers knowing that 1 cubic meter = $1 \times 10^{-9}$ cubic kilometers.
   • Consequently, 1 cubic foot = $0.028316846592 \times 10^{-9}$ cubic kilometers = $2.8316846592 \times 10^{-11}$ cubic kilometers.

2. Conversion process:

   • Given 1 CFS, convert to cubic kilometers per second: $1 \text{ CFS} = 1 \text{ cubic foot/second} = 2.8316846592 \times 10^{-11} \text{ cubic kilometers/second}$

Real World Examples:

1. Rivers and Streams:

   • The Mississippi River, during its peak flow period, discharges approximately 600,000 CFS. $600,000 \text{ CFS} = 600,000 \times 2.8316846592 \times 10^{-11} \approx 1.698 \times 10^{-5} \text{ km³/s}$

2. Fire Hydrants:

   • A typical fire hydrant can deliver about 1,500 CFS. $1,500 \text{ CFS} = 1,500 \times 2.8316846592 \times 10^{-11} \approx 4.2475 \times 10^{-8} \text{ km³/s}$

3. Waterfalls:

   • The flow rate of water over Niagara Falls is estimated to be about 85,000 CFS. $85,000 \text{ CFS} = 85,000 \times 2.8316846592 \times 10^{-11} \approx 2.406 \times 10^{-6} \text{ km³/s}$

4. Municipal Water Supply:

   • A large city's water treatment plant might process around 200 CFS. $200 \text{ CFS} = 200 \times 2.8316846592 \times 10^{-11} \approx 5.663 \times 10^{-9} \text{ km³/s}$

These real-world examples help illustrate the significant variations in volume flow rates depending on the context.