Cubic feet per second to Cups per second conversion

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

To convert from cubic feet per second (cfs) to cups per second, you need to know the conversion factors between these units. Here’s how you can handle the conversions:

1. Identify the Volume Equivalence:

   • 1 cubic foot (ft³) is equivalent to 7.48052 gallons.
   • 1 gallon is equivalent to 16 cups.

2. Perform the Computations:

   • First, convert cubic feet to gallons: $1 \, \text{ft}³ \times 7.48052 \, \text{gallons/ft}³ = 7.48052 \, \text{gallons}$
   • Then, convert gallons to cups: $7.48052 \, \text{gallons} \times 16 \, \text{cups/gallon} = 119.68832 \, \text{cups}$

So, 1 cubic foot per second is equivalent to 119.68832 cups per second.

To put this into context, let's look at some real-world examples for other quantities of cubic feet per second:

1. Stream Flow:

   • A small creek might have a flow of around 0.5 cubic feet per second, which converts to: $0.5 \, \text{cfs} \times 119.68832 \, \text{cups/cfs} = 59.84416 \, \text{cups per second}$

2. Fire Hose:

   • A typical fire hose might have a flow rate of about 2 cubic feet per second, converting to: $2 \, \text{cfs} \times 119.68832 \, \text{cups/cfs} = 239.37664 \, \text{cups per second}$

3. Large River:

   • A large river like the Mississippi might have a flow rate of approximately 600,000 cubic feet per second in some areas, which converts to: $600,000 \, \text{cfs} \times 119.68832 \, \text{cups/cfs} = 71,812,992 \, \text{cups per second}$

These conversions help illustrate the differences in flow rates between smaller and much larger water systems.