Cubic inches per minute to Gallons per hour conversion

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

To convert cubic inches per minute (in³/min) to gallons per hour (gal/hr), you need to know the conversion factors between these units:

1. There are 231 cubic inches in one gallon.
2. There are 60 minutes in one hour.

Here is the step-by-step process to convert 1 cubic inch per minute to gallons per hour:

1. Convert cubic inches to gallons: $\text{cubic inches per minute} \times \left(\frac{1 \text{ gallon}}{231 \text{ cubic inches}}\right)$

2. Convert minutes to hours: $\text{gallons per minute} \times 60 \text{ (minutes per hour)}$

Combining these two steps: $1 \text{ in}^3/\text{min} \times \left(\frac{1 \text{ gallon}}{231 \text{ in}^3}\right) \times 60 \text{ min/hr}$

Let's do the math: $1 \text{ in}^3/\text{min} \times \frac{60}{231} \text{ gal/hr}$

Simplify the fraction: $\frac{60}{231} \approx 0.25974$

Therefore: $1 \text{ in}^3/\text{min} \approx 0.25974 \text{ gal/hr}$

Real World Examples for Other Quantities of Cubic Inches per Minute

Example 1: 10 Cubic Inches per Minute

$10 \text{ in}^3/\text{min} \times \frac{60}{231} \approx 10 \times 0.25974 \approx 2.5974 \text{ gal/hr}$

Example 2: 50 Cubic Inches per Minute

$50 \text{ in}^3/\text{min} \times \frac{60}{231} \approx 50 \times 0.25974 \approx 12.987 \text{ gal/hr}$

Example 3: 100 Cubic Inches per Minute

$100 \text{ in}^3/\text{min} \times \frac{60}{231} \approx 100 \times 0.25974 \approx 25.974 \text{ gal/hr}$

These examples show how different rates of volume flow in cubic inches per minute can be converted to gallons per hour, which can be useful for applications like fluid dispensing, industrial process flows, and irrigation systems.