Pints per minute to Gallons per hour conversion

How to convert pints per minute to gallons per hour?

To convert from pints per minute to gallons per hour, you need to use the following conversion factors:

1. There are 2 pints in a quart.
2. There are 4 quarts in a gallon.

Thus, there are: $2 \, \text{pints} \overset{*2}{=} 1 \, \text{quart}$
$4 \, \text{quarts} \overset{*4}{=} 1 \, \text{gallon}$

Therefore: $1 \, \text{gallon} = 8 \, \text{pints}$

We also know there are 60 minutes in an hour. With this information, we can set up the conversion as follows:

$\text{Gallons per hour} = \left(\text{Pints per minute}\right) \times \left(\frac{\text{Gallons}}{\text{Pints}}\right) \times (\text{Minutes per hour})$

So, to convert 1 pint per minute to gallons per hour:

$1 \, \text{pint/min} \times \left(\frac{1 \, \text{gallon}}{8 \, \text{pints}}\right) \times 60 \, \text{minutes/hour} = \frac{60}{8} \, \text{gallons/hour} = 7.5 \, \text{gallons/hour}$

Real World Examples

1. Kitchen Sink Flow Rate: Many kitchen sinks have flow rates that range from 1.5 to 2.2 gallons per minute (GPM). If you compare this with 1.5 GPM, you get 12 pints per minute (since 1 gallon = 8 pints). So, 12 pints/minute converts to: $12 \, \text{pints/min} \times \left(\frac{1 \, \text{gallon}}{8 \, \text{pints}}\right) \times 60 \, \text{minutes/hour} = 90 \, \text{gallons/hour}$

2. Garden Hose: A typical garden hose releases water at about 5 gallons per minute. This equals 40 pints per minute. Converting 40 pints per minute: $40 \, \text{pints/min} \times \left(\frac{1 \, \text{gallon}}{8 \, \text{pints}}\right) \times 60 \, \text{minutes/hour} = 300 \, \text{gallons/hour}$

3. Drip Irrigation System: These systems might have a much slower flow rate, say 0.5 gallons per hour. To compare this with pints per minute: $0.5 \, \text{gallons/hour} \times 8 \, \text{pints/gallon} = 4 \, \text{pints/hour}$ Converting this to pints per minute: $\frac{4 \, \text{pints/hour}}{60 \, \text{minutes/hour}} = \frac{4}{60} \, \text{pints/minute} = \frac{1}{15} \, \text{pints/minute}$

4. Brewing Systems: Consider a system that moves wort at 2 pints per minute. Converting this: $2 \, \text{pints/min} \times \left(\frac{1 \, \text{gallon}}{8 \, \text{pints}}\right) \times 60 \, \text{minutes/hour} = 15 \, \text{gallons/hour}$

These examples illustrate how varying flow rates can be converted between different units and their practical applications.