Pints per minute to Gallons per second conversion

How to convert pints per minute to gallons per second?

To convert from pints per minute to gallons per second, you need to understand the relationships among these units:

1. There are 2 pints in a quart.
2. There are 4 quarts in a gallon.
3. Therefore, there are 8 pints in a gallon.
4. There are 60 seconds in a minute.

Let's break down the steps for the conversion:

1. Convert Pints per Minute to Pints per Second: $\text{Pints per second} = \frac{\text{Pints per minute}}{60}$ For 1 pint per minute, this would be: $1 \, \text{pint per minute} \div 60 = \frac{1}{60} \, \text{pints per second}$

2. Convert Pints per Second to Gallons per Second: $\text{Gallons per second} = \frac{\text{Pints per second}}{8}$ Using the result from step 1: $\frac{1}{60} \, \text{pints per second} \div 8 = \frac{1}{60 \times 8} \, \text{gallons per second} = \frac{1}{480} \, \text{gallons per second}$

So, 1 pint per minute is equivalent to $\frac{1}{480}$ gallons per second.

Real-World Examples for Other Quantities of Pints per Minute:

Example 1: 30 Pints per Minute

1. Convert to Pints per Second: $\frac{30 \, \text{pints}}{60 \, \text{seconds}} = 0.5 \, \text{pints per second}$
2. Convert to Gallons per Second: $\frac{0.5 \, \text{pints per second}}{8} = 0.0625 \, \text{gallons per second}$

Example 2: 50 Pints per Minute

1. Convert to Pints per Second: $\frac{50 \, \text{pints}}{60 \, \text{seconds}} \approx 0.8333 \, \text{pints per second}$
2. Convert to Gallons per Second: $\frac{0.8333 \, \text{pints per second}}{8} \approx 0.1042 \, \text{gallons per second}$

Example 3: 100 Pints per Minute

1. Convert to Pints per Second: $\frac{100 \, \text{pints}}{60 \, \text{seconds}} \approx 1.6667 \, \text{pints per second}$
2. Convert to Gallons per Second: $\frac{1.6667 \, \text{pints per second}}{8} \approx 0.2083 \, \text{gallons per second}$

These conversions help you understand the flow rates in practical applications, such as in industrial processes, fluid transport systems, and more.