Pints per minute to Cubic inches per hour conversion

How to convert pints per minute to cubic inches per hour?

To convert pints per minute (pt/min) to cubic inches per hour (in³/hr), you need to know the following conversions:

• There are 8 pints in a gallon.
• There are 231 cubic inches in a gallon.
• There are 60 minutes in an hour.

First, convert pints per minute to gallons per minute:

$\text{Pints per minute} \times \frac{1 \text{ gallon}}{8 \text{ pints}} = \text{Gallons per minute}$

Next, convert gallons per minute to cubic inches per minute:

$\text{Gallons per minute} \times 231 \text{ cubic inches/gallon} = \text{Cubic inches per minute}$

Finally, convert cubic inches per minute to cubic inches per hour:

$\text{Cubic inches per minute} \times 60 \text{ minutes/hour} = \text{Cubic inches per hour}$

Let's go through the conversion step-by-step for 1 pint per minute to cubic inches per hour.

1. Convert 1 pint per minute to gallons per minute:

$1 \text{ pint/min} \times \frac{1 \text{ gallon}}{8 \text{ pints}} = 0.125 \text{ gallons/min}$

2. Convert gallons per minute to cubic inches per minute:

$0.125 \text{ gallons/min} \times 231 \text{ cubic inches/gallon} = 28.875 \text{ cubic inches/min}$

3. Convert cubic inches per minute to cubic inches per hour:

$28.875 \text{ cubic inches/min} \times 60 \text{ min/hr} = 1732.5 \text{ cubic inches/hr}$

So, 1 pint per minute is equivalent to 1732.5 cubic inches per hour.

Real-World Examples of Different Quantities of Pints per Minute:

1. 2 pints per minute: $2 \text{ pint/min} \times 1732.5 \text{ cubic inches/hr} = 3465 \text{ cubic inches/hr}$ This could be the flow rate of a medium-sized aquarium pump.

2. 5 pints per minute: $5 \text{ pint/min} \times 1732.5 \text{ cubic inches/hr} = 8662.5 \text{ cubic inches/hr}$ This might be the flow rate of a small industrial water pump.

3. 10 pints per minute: $10 \text{ pint/min} \times 1732.5 \text{ cubic inches/hr} = 17325 \text{ cubic inches/hr}$ This could be the flow rate of a large sump pump used in residential basement flooding situations.

These conversions and insights into different flow rates can help you understand the application and implementation of different flow rates in various real-world contexts.