Fluid Ounces per hour to Cubic feet per second conversion

How to convert fluid ounces per hour to cubic feet per second?

To convert fluid ounces per hour (fl oz/hr) to cubic feet per second (ft³/s), you need to use a series of unit conversions. Here's a step-by-step guide:

1. Understand the Conversion Factors:

   • 1 fluid ounce (fl oz) = 1.044379 cubic inches (in³)
   • 1 cubic foot (ft³) = 1,728 cubic inches (in³)
   • 1 hour (hr) = 3,600 seconds (s)

2. Write Down the Given Value:

   • 1 fluid ounce per hour (1 fl oz/hr)

3. Convert Fluid Ounces to Cubic Inches: $\text{Volume (in³/hr)} = 1 \text{ fl oz/hr} \times 1.044379 \text{ in³/fl oz}$ $\text{Volume (in³/hr)} = 1.044379 \text{ in³/hr}$

4. Convert Cubic Inches to Cubic Feet: $\text{Volume (ft³/hr)} = \frac{\text{Volume (in³/hr)}}{1728} = \frac{1.044379 \text{ in³/hr}}{1728} = 0.0006041864 \text{ ft³/hr}$

5. Convert Hours to Seconds: $\text{Volume (ft³/s)} = \frac{\text{Volume (ft³/hr)}}{3600} = \frac{0.0006041864 \text{ ft³/hr}}{3600} = 1.67829 \times 10^{-7} \text{ ft³/s}$

Therefore,
$1 \text{ fl oz/hr} = 1.67829 \times 10^{-7} \text{ ft³/s}$

Real-World Examples

To give you some perspective with other quantities:

Example 1: 50 Fluid Ounces per Hour.

$50 \text{ fl oz/hr} = 50 \times 1.67829 \times 10^{-7} \text{ ft³/s} = 8.39145 \times 10^{-6} \text{ ft³/s}$

Example 2: 100 Fluid Ounces per Hour.

$100 \text{ fl oz/hr} = 100 \times 1.67829 \times 10^{-7} \text{ ft³/s} = 1.67829 \times 10^{-5} \text{ ft³/s}$

Example 3: 1,000 Fluid Ounces per Hour.

$1000 \text{ fl oz/hr} = 1000 \times 1.67829 \times 10^{-7} \text{ ft³/s} = 1.67829 \times 10^{-4} \text{ ft³/s}$

Applications in Real Life

• 50 fl oz/hr: This could represent a slow drip rate from a small faucet or a medical IV drip that needs to be very precise.

• 100 fl oz/hr: This might be used to quantify the flow rate of water to a small garden plant irrigation system or a slow leak.

• 1,000 fl oz/hr: This could describe something larger, like a small fountain or the rate of wastewater in a small household system.

Understanding these conversions and real-world examples can help navigate applications like engineering designs, plumbing, medical fluid administration, and more where accurate flow rate measurements are critical.