Fluid Ounces per hour to Cubic Centimeters per second conversion

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

To convert fluid ounces per hour (fl oz/h) to cubic centimeters per second (cm³/s), we need to follow these steps:

1. Understand the Units:

   • 1 U.S. fluid ounce (fl oz) = 29.5735 cubic centimeters (cm³)
   • 1 hour (h) = 3600 seconds (s)

2. Conversion Factor Calculation: To convert from fluid ounces per hour to cubic centimeters per second, we will use the following formula:

   $\text{cm³/s} = \text{fl oz/h} \times \frac{29.5735 \, \text{cm³}}{1 \, \text{fl oz}} \times \frac{1 \, \text{h}}{3600 \, \text{s}}$

3. Perform the Conversion: Plugging the values into the formula gives:

   $1 \, \text{fl oz/h} = 1 \times \frac{29.5735 \, \text{cm³}}{1 \, \text{fl oz}} \times \frac{1 \, \text{h}}{3600 \, \text{s}}$

   $1 \, \text{fl oz/h} = \frac{29.5735}{3600} \, \text{cm³/s}$

   $1 \, \text{fl oz/h} = 0.0082143 \, \text{cm³/s}$

So, 1 fluid ounce per hour is approximately 0.0082143 cubic centimeters per second.

Real-World Examples for Other Quantities of Fluid Ounces per Hour

1. 10 Fluid Ounces per Hour: $10 \, \text{fl oz/h} = 10 \times 0.0082143 \, \text{cm³/s} = 0.082143 \, \text{cm³/s}$

2. 50 Fluid Ounces per Hour: $50 \, \text{fl oz/h} = 50 \times 0.0082143 \, \text{cm³/s} = 0.410715 \, \text{cm³/s}$

3. 100 Fluid Ounces per Hour: $100 \, \text{fl oz/h} = 100 \times 0.0082143 \, \text{cm³/s} = 0.82143 \, \text{cm³/s}$

4. 500 Fluid Ounces per Hour: $500 \, \text{fl oz/h} = 500 \times 0.0082143 \, \text{cm³/s} = 4.10715 \, \text{cm³/s}$

Real-World Context

1. Medical Drip Rates: Intravenous (IV) fluids might be administered at a rate of around 50-200 fl oz/h for hydration or medication purposes. Using the conversion, 100 fl oz/h would be approximately 0.82143 cm³/s.

2. Irrigation Systems: In agriculture, certain drip irrigation systems might deliver water at a slow, controlled rate of about 10-30 fl oz/h per emitter. Here, 20 fl oz/h would be around 0.164286 cm³/s.

3. Small-Scale Industrial Processes: A chemical process requiring the addition of a liquid at a slow, constant rate could use plenty of variations. For example, 500 fl oz/h is about 4.10715 cm³/s, which helps in precise dosing.

By understanding these conversions and seeing practical examples, it is easier to grasp how fluid flow rates can be applied in different contexts.