Fluid Ounces per hour to Gallons per minute conversion

How to convert fluid ounces per hour to gallons per minute?

To convert from fluid ounces per hour (fl oz/hr) to gallons per minute (gal/min), you need to know the following conversions:

1. There are 128 fluid ounces in a gallon.
2. There are 60 minutes in an hour.

Let's detail the steps for the conversion of 1 fluid ounce per hour to gallons per minute:

1. Start with the given rate: 1 fl oz/hr.
2. Since there are 128 fluid ounces in one gallon, you can convert fluid ounces to gallons by dividing by 128.
3. Additionally, since there are 60 minutes in one hour, you convert hours to minutes by dividing by 60.

Here's the formula for the conversion: $\text{gallons per minute} = \left( \frac{\text{fluid ounces per hour}}{128} \right) \div 60$

Applying the given value: $\text{1 fl oz/hr} = \left( \frac{1 \text{ fl oz}}{128 \text{ gal}} \right) \times \left( \frac{1}{60 \text{ min}} \right)$

Performing the division: $1 \text{ fl oz/hr} = \frac{1}{128 \times 60} \text{ gal/min}$ $1 \text{ fl oz/hr} = \frac{1}{7680} \text{ gal/min} \approx 0.0001302083 \text{ gal/min}$

Real World Examples for Different Quantities of Fluid Ounces per Hour

Let's examine some real-world quantities expressed in fluid ounces per hour and convert them to gallons per minute for practical understanding:

1. Water Drip in Residential Plumbing:

   • 5 fluid ounces per hour (a slow leak): $\frac{5}{128 \times 60} = \frac{5}{7680} \approx 0.0006510417 \text{ gal/min}$

2. Small Fountain Pump:

   • 250 fluid ounces per hour: $\frac{250}{128 \times 60} = \frac{250}{7680} \approx 0.0325520833 \text{ gal/min}$

3. Humidifier Output:

   • 1000 fluid ounces per hour: $\frac{1000}{128 \times 60} = \frac{1000}{7680} \approx 0.1302083333 \text{ gal/min}$

4. Household Beverage Dispenser:

   • 1500 fluid ounces per hour: $\frac{1500}{128 \times 60} = \frac{1500}{7680} \approx 0.1953125 \text{ gal/min}$

5. Irrigation System Flow Rate:

   • 5000 fluid ounces per hour: $\frac{5000}{128 \times 60} = \frac{5000}{7680} \approx 0.6510416667 \text{ gal/min}$

Conclusion

The conversion from fluid ounces per hour to gallons per minute involves dividing by 128 (to convert ounces to gallons) and then further dividing by 60 (to convert hours to minutes). This conversion is necessary to understand and compare different fluid flow rates in various practical applications ranging from household appliances to irrigation systems.