Cubic inches per second to Gallons per minute conversion

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

To convert from cubic inches per second (in³/s) to gallons per minute (GPM), you need to follow these steps:

1. Understand the conversion factors:

   • 1 gallon is equivalent to 231 cubic inches.
   • 1 minute is equivalent to 60 seconds.

2. Set up the conversion:

   • Since we are converting cubic inches per second to gallons per minute, you would multiply by the conversion factor from cubic inches to gallons and then by the conversion factor from seconds to minutes.

The complete formula for the conversion is: $\text{GPM} = \text{in}^3/\text{s} \times \left( \frac{1 \, \text{gallon}}{231 \, \text{cubic inches}} \right) \times \left( \frac{60 \, \text{seconds}}{1 \, \text{minute}} \right)$

3. Apply the formula:
   • For 1 cubic inch per second: $\text{GPM} = 1 \, \text{in}^3/\text{s} \times \left( \frac{1 \, \text{gallon}}{231 \, \text{in}^3} \right) \times 60 \, \frac{\text{s}}{\text{min}}$
   • Simplify: $\text{GPM} = \frac{60}{231} \, \text{GPM}$ $\text{GPM} \approx 0.2597 \, \text{GPM}$

So, 1 cubic inch per second is approximately 0.2597 gallons per minute.

Real-World Examples for Other Quantities in Cubic Inches per Second:

1. 5 cubic inches per second: $\text{GPM} = 5 \, \text{in}^3/\text{s} \times \left( \frac{1 \, \text{gallon}}{231 \, \text{in}^3} \right) \times 60 \, \frac{\text{s}}{\text{min}}$ $\text{GPM} = \frac{5 \times 60}{231} \, \text{GPM}$ $\text{GPM} \approx 1.298 \, \text{GPM}$

2. 10 cubic inches per second: $\text{GPM} = 10 \, \text{in}^3/\text{s} \times \left( \frac{1 \, \text{gallon}}{231 \, \text{in}^3} \right) \times 60 \, \frac{\text{s}}{\text{min}}$ $\text{GPM} = \frac{10 \times 60}{231} \, \text{GPM}$ $\text{GPM} = 2.596 \, \text{GPM}$

3. 50 cubic inches per second: $\text{GPM} = 50 \, \text{in}^3/\text{s} \times \left( \frac{1 \, \text{gallon}}{231 \, \text{in}^3} \right) \times 60 \, \frac{\text{s}}{\text{min}}$ $\text{GPM} = \frac{50 \times 60}{231} \, \text{GPM}$ $\text{GPM} \approx 12.987 \, \text{GPM}$

These conversions can help in various practical applications such as fluid dynamics in plumbing, hydraulics, and various engineering fields where volume flow rates need to be interpreted and analyzed.