Fluid Ounces per hour to Cups per second conversion

How to convert fluid ounces per hour to cups per second?

To convert Fluid Ounces per hour (fl oz/hr) to Cups per second (cups/s), you need to know the following conversions:

1. There are 8 fluid ounces in 1 cup.
2. There are 3600 seconds in 1 hour.

Given these conversions, you can set up the conversion factor as follows:

1. Start with the flow rate in fluid ounces per hour (fl oz/hr).
2. Convert fluid ounces to cups.
3. Convert hours to seconds.

Now, let's do the math step-by-step:

1. $1 \text{ fl oz/hr}$

2. Convert fluid ounces to cups: $\frac{1 \text{ fl oz}}{8 \text{ fl oz/cup}} = \frac{1}{8} \text{ cups/hr}$

3. Convert hours to seconds: $\left( \frac{1}{8} \text{ cups/hr} \right) \times \left( \frac{1 \text{ hr}}{3600 \text{ s}} \right) = \frac{1}{28800} \text{ cups/s}$

So, $1 \text{ fl oz/hr} = \frac{1}{28800} \text{ cups/s} \approx 3.47 \times 10^{-5} \text{ cups/s}$.

Real World Examples

To understand how other quantities of Fluid Ounces per hour would look in real-world contexts, let's consider a few examples:

1. 5 fl oz/hr to cups/s: $5 \text{ fl oz/hr} \times \frac{1 \text{ cup}}{8 \text{ fl oz}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{5}{28800} \text{ cups/s} = \approx 1.74 \times 10^{-4} \text{ cups/s}$

2. 10 fl oz/hr to cups/s: $10 \text{ fl oz/hr} \times \frac{1 \text{ cup}}{8 \text{ fl oz}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{10}{28800} \text{ cups/s} = \approx 3.47 \times 10^{-4} \text{ cups/s}$

3. 50 fl oz/hr to cups/s: $50 \text{ fl oz/hr} \times \frac{1 \text{ cup}}{8 \text{ fl oz}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{50}{28800} \text{ cups/s} = \approx 0.00174 \text{ cups/s}$

Real-World Examples

• Water Dispenser: A typical office water cooler might dispense around 10-20 fl oz/hr, suitable for intermittent use throughout the day.

• IV Drip: Hospital IV drips sometimes operate in the range of 15-30 fl oz/hr, providing a slow, steady delivery of fluids to patients.

• Humidifier: Home humidifiers might evaporate around 20-40 fl oz/hr of water into the air, depending on their settings and the ambient humidity level.

These are some practical applications where such flow rates might be relevant, helping to ground the abstract conversion in everyday examples.