Fluid Ounces per second to Cubic kilometers per second conversion

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

To convert fluid ounces per second (fl oz/s) to cubic kilometers per second (km³/s), you need to use a series of unit conversions. Here is the detailed step-by-step process:

1. Start by converting fluid ounces to cubic inches.

   1 US fluid ounce = 1.80469 cubic inches

2. Convert cubic inches to cubic feet.

   1 cubic inch = 0.000578704 cubic feet

3. Convert cubic feet to cubic meters.

   1 cubic foot = 0.0283168 cubic meters

4. Convert cubic meters to cubic kilometers.

   1 cubic meter = 1e-9 cubic kilometers (since there are 1,000,000,000 cubic meters in one cubic kilometer)

Now, string these conversions together to convert 1 fl oz/s to km³/s:

$1 \text{ fl oz/s} \times 1.80469 \text{ in}^3/\text{fl oz} \times 0.000578704 \text{ ft}^3/\text{in}^3 \times 0.0283168 \text{ m}^3/\text{ft}^3 \times 1 \text{ km}^3/10^9 \text{ m}^3$

Let's break it down:

1. Convert fl oz to cubic inches: $1 \text{ fl oz} \times 1.80469 \text{ in}^3/\text{fl oz} = 1.80469 \text{ in}^3/\text{s}$

2. Convert cubic inches to cubic feet: $1.80469 \text{ in}^3/\text{s} \times 0.000578704 \text{ ft}^3/\text{in}^3 = 0.0010443803 \text{ ft}^3/\text{s}$

3. Convert cubic feet to cubic meters: $0.0010443803 \text{ ft}^3/\text{s} \times 0.0283168 \text{ m}^3/\text{ft}^3 = 2.9574 \times 10^{-5} \text{ m}^3/\text{s}$

4. Convert cubic meters to cubic kilometers: $2.9574 \times 10^{-5} \text{ m}^3/\text{s} \times 1 \text{ km}^3/10^9 \text{ m}^3 = 2.9574 \times 10^{-14} \text{ km}^3/\text{s}$

Thus, 1 fl oz/s = $2.9574 \times 10^{-14} \text{ km}^3/\text{s}$.

Real-World Examples

1. Household Faucet:

• A typical household faucet might flow at a rate of 2.2 gallons per minute.
• 2.2 gallons/min = 0.0367 gallons/s.
• 1 gallon = 128 fl oz.
• Therefore, 0.0367 gallons/s × 128 fl oz/gallon = 4.6976 fl oz/s.

2. Industrial Water Pump:

• An industrial water pump might have a flow rate of 100 gallons per minute.
• 100 gallons/minute = 1.667 gallons/s.
• Therefore, 1.667 gallons/s × 128 fl oz/gallon = 213.376 fl oz/s.

3. Garden Hose:

• A garden hose might deliver around 10 gallons per minute.
• 10 gallons/min = 0.167 gallons/s.
• Therefore, 0.167 gallons/s × 128 fl oz/gallon = 21.376 fl oz/s.

Summary of Conversions:

• Household Faucet (~2.2 gpm): ~4.6976 fl oz/s
• Industrial Water Pump (~100 gpm): ~213.376 fl oz/s
• Garden Hose (~10 gpm): ~21.376 fl oz/s

These examples provide a sense of how fluid ounces per second might look across different real-world applications.