Cubic feet per second to Quarts per second conversion

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

To convert cubic feet per second (cfs) to quarts per second, we need to know the relationship between cubic feet and quarts. Here is the step-by-step process:

1. Know the volume equivalencies:

   • 1 cubic foot (ft³) is equivalent to 7.48052 gallons.
   • 1 gallon is equivalent to 4 quarts.

2. Convert cubic feet to gallons:

   • Since 1 ft³ = 7.48052 gallons, then 1 cubic foot per second (cfs) is 7.48052 gallons per second (gps).

3. Convert gallons to quarts:

   • Since 1 gallon = 4 quarts, then 7.48052 gallons is equivalent to $7.48052 \times 4$ quarts.

4. Perform the multiplication:

   • $7.48052 \times 4 = 29.92208$

So, 1 cubic foot per second (cfs) is equivalent to 29.92208 quarts per second (qps).

Real World Examples of Other Quantities of CFS

1. Typical River Flow:

   • A small river might have a flow rate of about 100 cubic feet per second.
   • Converting this to quarts per second: $100 \times 29.92208 = 2992.208$ quarts per second.

2. Fire Hose:

   • A standard fire hose can discharge water at a rate of around 250 gallons per minute.
   • Converting this to cfs:
     • $250 \text{ gallons/min} \div 7.48052 \text{ gallons/ft³} = 33.422 ft³/min$
     • Since this is per minute, divide by 60 to get per second: $33.422 \div 60 = 0.557 ft³/s$
   • Converting 0.557 cfs to quarts per second: $0.557 \times 29.92208 = 16.668 qps$

3. Household Use:

   • A shower might use around 2.5 gallons per minute.
   • Converting this to cfs:
     • $2.5 \text{ gallons/min} \div 7.48052 \text{ gallons/ft³} = 0.334 ft³/min$
     • Dividing by 60 to get per second: $0.334 \div 60 = 0.00557 ft³/s$
   • Converting 0.00557 cfs to quarts per second: $0.00557 \times 29.92208 = 0.167 qps$

These examples demonstrate a variety of water flow scenarios from small household applications to large environmental flows, illustrating the diverse range of applications for cubic feet per second measurements.