Cubic inches per minute to Gallons per second conversion

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

Sure! To convert cubic inches per minute (in³/min) to gallons per second (gal/s), you need to understand the relationship between cubic inches, gallons, and the units of time. Here's the step-by-step process for converting 1 cubic inch per minute to gallons per second:

1. Understand the Volume Conversion:

   • 1 gallon (US) = 231 cubic inches.

2. Understand the Time Conversion:

   • 1 minute = 60 seconds.

So, to convert cubic inches per minute to gallons per second, you need to use these conversion factors.

$\text{Flow rate in gal/s} = \text{Flow rate in in}^3/\text{min} \times \left( \frac{1 \text{ gallon}}{231 \text{ in}^3} \right) \times \left( \frac{1 \text{ min}}{60 \text{ seconds}} \right)$

Now, plug in the values to get the desired conversion:

$\text{Flow rate in gal/s} = 1 \text{ in}^3/\text{min} \times \left( \frac{1 \text{ gal}}{231 \text{ in}^3} \right) \times \left( \frac{1 \text{ min}}{60 \text{ s}} \right)$

Simplify the equation:

$\text{Flow rate in gal/s} = \frac{1}{231 \times 60} \text{ gal/s}$ $\text{Flow rate in gal/s} = \frac{1}{13,860} \text{ gal/s}$ $\text{Flow rate in gal/s} \approx 7.213 \times 10^{-5} \text{ gal/s}$

So, 1 cubic inch per minute is approximately $7.213 \times 10^{-5}$ gallons per second.

Real-World Examples for Other Quantities of Cubic Inches per Minute

1. 10 in³/min:

   • Convert in³/min to gal/s: $\text{Flow rate in gal/s} = 10 \times \frac{1}{13,860} \approx 7.213 \times 10^{-4} \text{ gal/s}$

2. 50 in³/min:

   • Convert in³/min to gal/s: $\text{Flow rate in gal/s} = 50 \times \frac{1}{13,860} \approx 3.6065 \times 10^{-3} \text{ gal/s}$

3. 100 in³/min:

   • Convert in³/min to gal/s: $\text{Flow rate in gal/s} = 100 \times \frac{1}{13,860} \approx 7.213 \times 10^{-3} \text{ gal/s}$

Real-World Examples:

1. Aquarium Pump:

   • A small aquarium pump might have a flow rate of around 60 cubic inches per minute.
   • Converted: $\text{Flow rate in gal/s} = 60 \times \frac{1}{13,860} \approx 4.328 \times 10^{-3} \text{ gal/s}$

2. Hydraulic Systems:

   • A hydraulic system in heavy machinery might use a flow rate of 200 cubic inches per minute.
   • Converted: $\text{Flow rate in gal/s} = 200 \times \frac{1}{13,860} \approx 1.443 \times 10^{-2} \text{ gal/s}$

3. Irrigation Systems:

   • A garden irrigation system might have a flow rate of 500 cubic inches per minute.
   • Converted: $\text{Flow rate in gal/s} = 500 \times \frac{1}{13,860} \approx 3.606 \times 10^{-2} \text{ gal/s}$

These examples illustrate how you can convert various flow rates from cubic inches per minute to gallons per second and understand their practical applications.