Cubic inches per hour to Gallons per second conversion

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

To convert cubic inches per hour to gallons per second, we need to use the following conversion factors:

1. Cubic Inches to Gallons:

   • 1 US gallon is equal to 231 cubic inches.

2. Hours to Seconds:

   • 1 hour is equal to 3600 seconds.

Using these conversion factors, let's go through the conversion step-by-step:

Step-by-Step Conversion:

1. Convert cubic inches to gallons: $\text{Volume in gallons} = \frac{\text{Volume in cubic inches}}{231}$

   For 1 cubic inch: $\text{Volume in gallons} = \frac{1}{231}$

2. Convert hours to seconds: $\text{Time in seconds} = \text{Time in hours} \times 3600$

   Since we're converting per hour to per second: $\text{Time in seconds} = 3600$

3. Combine the conversions to get gallons per second:

   $\text{Flow rate in gallons per second} = \frac{\text{Volume in gallons}}{\text{Time in seconds}} = \frac{\frac{1}{231}}{3600}$

   Simplifying this:

   $\text{Flow rate in gallons per second} = \frac{1}{231 \times 3600} = \frac{1}{831600}$

   Thus: $1 \text{ Cubic inch per hour} = \frac{1}{831600} \text{ gallons per second} \approx 1.202 \times 10^{-6} \text{ gallons per second}$

Real World Examples for Other Quantities of Cubic Inches per Hour:

1. 10 Cubic Inches per Hour: $10 \text{ Cubic inches per hour} = 10 \times \frac{1}{831600} \text{ gallons per second} = \frac{10}{831600} \approx 1.202 \times 10^{-5} \text{ gallons per second}$

2. 500 Cubic Inches per Hour: $500 \text{ Cubic inches per hour} = 500 \times \frac{1}{831600} \text{ gallons per second} = \frac{500}{831600} \approx 6.012 \times 10^{-4} \text{ gallons per second}$

3. 1000 Cubic Inches per Hour: $1000 \text{ Cubic inches per hour} = 1000 \times \frac{1}{831600} \text{ gallons per second} = \frac{1000}{831600} \approx 1.202 \times 10^{-3} \text{ gallons per second}$

Practical Context Example:

• Aquariums:

  • If you have a small pump in an aquarium that circulates water at a rate of 1000 cubic inches per hour, it would convert to approximately 1.202 \times 10^{-3} gallons per second.

• Industrial Applications:

  • In a factory, if a lubricant is dispensed at a rate of 500 cubic inches per hour, it would be approximately 6.012 \times 10^{-4} gallons per second.

Understanding these conversions can help in various engineering tasks, from fluid dynamics calculations to optimizing fluid transport systems in various applications.