Fluid Ounces per minute to Cubic feet per hour conversion

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

To convert 1 Fluid Ounce per minute (fl oz/min) to Cubic Feet per Hour (ft³/hr), you need to perform a series of unit conversions.

Step-by-Step Conversion

1. Convert Fluid Ounces to Cubic Inches:

   • 1 US fluid ounce is equal to approximately 1.80469 cubic inches.
   • Therefore, 1 fl oz = 1.80469 in³.

2. Convert Cubic Inches to Cubic Feet:

   • There are 12 inches in a foot, so $1 \, \text{foot} = 12 \, \text{inches}$.
   • Therefore, $1 \, \text{cubic foot} = 12^3 = 1728 \, \text{cubic inches}$.
   • So, $1 \, \text{cubic inch} = \frac{1}{1728} \, \text{cubic feet}$.

3. Convert Minutes to Hours:

   • $1 \, \text{minute} = \frac{1}{60} \, \text{hours}$.

Now, putting it all together:

1 fl oz/min $= 1 \times 1.80469 \, \text{in}^3/\text{min}$

Convert cubic inches to cubic feet:

$= 1.80469 \times \frac{1}{1728} \, \text{ft}^3/\text{min}$

Convert minutes to hours:

$= 1.80469 \times \frac{1}{1728} \times 60 \, \text{ft}^3/\text{hr}$

Therefore:

$1 \, \text{fl oz/min} = \frac{1.80469 \times 60}{1728} \, \text{ft}^3/\text{hr}$

Perform the multiplication and division:

$1 \, \text{fl oz/min} \approx 0.062746 \, \text{ft}^3/\text{hr}$

Real-World Examples for Different Quantities

1. 5 fl oz/min to ft³/hr:

   • $5 \times 0.062746 \approx 0.31373 \, \text{ft}^3/\text{hr}$

2. 10 fl oz/min to ft³/hr:

   • $10 \times 0.062746 \approx 0.62746 \, \text{ft}^3/\text{hr}$

3. 50 fl oz/min to ft³/hr:

   • $50 \times 0.062746 \approx 3.1373 \, \text{ft}^3/\text{hr}$

4. 100 fl oz/min to ft³/hr:

   • $100 \times 0.062746 \approx 6.2746 \, \text{ft}^3/\text{hr}$

Real-World Context

1. Water Coolers: A water cooler with a flow rate of 5 fl oz/min would deliver approximately 0.314 cubic feet of water per hour.

2. Chemical Dosing: In chemical processing plants, having a dosage pump delivering 10 fl oz/min of a chemical solution would equate to about 0.627 cubic feet per hour.

3. Irrigation Systems: An irrigation system delivering 50 fl oz/min would be delivering water at a rate of approximately 3.137 cubic feet per hour, which could be useful for watering large gardens.

4. Industrial Pumps: A pump with a capacity of 100 fl oz/min could deliver around 6.275 cubic feet per hour, which might be used in various industrial applications requiring precise volumes of liquid to be moved.