Fluid Ounces per second to Cubic yards per second conversion

How to convert fluid ounces per second to cubic yards per second?

To convert 1 Fluid Ounce per second (fl oz/s) to Cubic Yards per second (yd³/s), you need to use the conversion factors between these units. Here's the step-by-step process for the conversion:

Step-by-Step Conversion:

1. Convert Fluid Ounces to Cubic Inches: 1 U.S. fluid ounce = 1.8046875 cubic inches.

   So, 1 fl oz/s = 1.8046875 cubic inches per second (in³/s).

2. Convert Cubic Inches to Cubic Feet: There are 12 inches in a foot, so 1 cubic foot is (12 inches)³ = 1,728 cubic inches.

   Therefore, 1 cubic inch = $\frac{1}{1,728}$ cubic feet.

   So, $1.8046875 \, \text{in³/s} \times \frac{1 \, \text{ft³}}{1,728 \, \text{in³}} = \frac{1.8046875}{1,728} \, \text{ft³/s}$.

3. Convert Cubic Feet to Cubic Yards: There are 3 feet in a yard, so 1 cubic yard is (3 feet)³ = 27 cubic feet.

   Therefore, 1 cubic foot = $\frac{1}{27}$ cubic yards.

   So,

   $\frac{1.8046875}{1,728} \, \text{ft³/s} \times \frac{1 \, \text{yd³}}{27 \, \text{ft³}} = \frac{1.8046875}{1,728 \times 27} \, \text{yd³/s}.$

4. Simplify the Expression:

   $1 \, \text{fl oz/s} = \frac{1.8046875}{46,656} \, \text{yd³/s} \approx 3.867 \times 10^{-5} \, \text{yd³/s}.$

So, 1 Fluid Ounce per second is approximately $3.867 \times 10^{-5}$ Cubic Yards per second.

Real-World Examples of Various Fluid Ounces per Second

1. Water in a Shower Head: A standard shower head has a flow rate of around 2.5 gallons per minute (gpm).

   Converting that to fluid ounces per second:

   $2.5 \, \text{gpm} \times 128 \, \text{fl oz/gal} \div 60 \, \text{s/min} = \frac{320}{60} \, \text{fl oz/s} \approx 5.33 \, \text{fl oz/s}$.

2. Garden Hose: A typical garden hose might have a flow rate of around 9 gpm.

   $9 \, \text{gpm} \times 128 \, \text{fl oz/gal} \div 60 \, \text{s/min} = \frac{1,152}{60} \, \text{fl oz/s} \approx 19.2 \, \text{fl oz/s}.$

3. Water Fountain: Small decorative water fountains might have a flow rate of around 0.5 gpm.

   $0.5 \, \text{gpm} \times 128 \, \text{fl oz/gal} \div 60 \, \text{s/min} = \frac{64}{60} \, \text{fl oz/s} \approx 1.07 \, \text{fl oz/s}.$

Understanding these conversions and examples can help in various practical applications such as plumbing, designing water features, or measuring liquid flow in industrial settings.