Fluid Ounces per hour to Cubic inches per minute conversion

How to convert fluid ounces per hour to cubic inches per minute?

To convert fluid ounces per hour (fl oz/h) to cubic inches per minute (in³/min), you can follow these steps:

1. Convert fluid ounces to cubic inches:

   • 1 U.S. fluid ounce is equal to approximately 1.80469 cubic inches.
   • Therefore, you need to multiply the number of fluid ounces by 1.80469 to convert to cubic inches.

2. Convert hours to minutes:

   • 1 hour is equal to 60 minutes.
   • So, you need to divide the converted cubic inches by 60 to convert the time basis from hours to minutes.

Putting it all together, the conversion formula looks like this: $\text{Cubic inches per minute (in³/min)} = \frac{\text{Fluid ounces per hour (fl oz/h)} \times 1.80469 \text{ (in³/fl oz)}}{60 \text{ (min/h)}}$

Example Conversion

Let's convert 1 fluid ounce per hour to cubic inches per minute:

$\text{in³/min} = \frac{1 \text{ fl oz/h} \times 1.80469 \text{ in³/fl oz}}{60 \text{ min/h}}$ $\text{in³/min} = \frac{1.80469 \text{ in³}}{60 \text{ min}}$ $\text{in³/min} \approx 0.03008 \text{ in³/min}$

So, 1 fluid ounce per hour is approximately 0.03008 cubic inches per minute.

Real-World Examples

1. Beverage Dispenser:

   • A beverage dispenser might dispense at a rate of 10 fluid ounces per hour.
   • Convert this to cubic inches per minute: $\text{in³/min} = \frac{10 \times 1.80469}{60} \approx 0.3008$ So, it would be about 0.3008 cubic inches per minute.

2. Medical Infusion Pump:

   • A medical infusion pump could administer medicine at a rate of 5 fluid ounces per hour.
   • Convert this to cubic inches per minute: $\text{in³/min} = \frac{5 \times 1.80469}{60} \approx 0.1504$ So, it would be about 0.1504 cubic inches per minute.

3. Chemical Process:

   • In an industrial chemical process, a flow rate might be 20 fluid ounces per hour.
   • Convert this to cubic inches per minute: $\text{in³/min} = \frac{20 \times 1.80469}{60} \approx 0.6016$ So, it would be about 0.6016 cubic inches per minute.