Cubic inches per second to Gallons per hour conversion

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

Converting cubic inches per second to gallons per hour involves a few steps. Here’s a detailed explanation:

1. Understand the Conversion Factors:

   • 1 US gallon = 231 cubic inches.
   • 1 hour = 3600 seconds.

2. Convert Cubic Inches per Second to Gallons per Second:

   • Since 1 gallon is 231 cubic inches, 1 cubic inch equals $\frac{1}{231}$ gallons.
   • Therefore, to convert cubic inches per second to gallons per second, divide by 231.

   $\text{Gallons per second} = \frac{\text{Cubic inches per second}}{231}$

3. Convert Gallons per Second to Gallons per Hour:

   • Since there are 3600 seconds in an hour, multiply the gallons per second by 3600 to get gallons per hour.

   $\text{Gallons per hour} = \text{Gallons per second} \times 3600$

Combining the two steps we get: $\text{Gallons per hour} = \left( \frac{\text{Cubic inches per second}}{231} \right) \times 3600$

Thus for 1 cubic inch per second: $\text{Gallons per hour} = \left( \frac{1}{231} \right) \times 3600 \approx 15.58$

Real-world Examples

Here are some examples of converting other volumes from cubic inches per second to gallons per hour:

1. Example 1: 2 Cubic inches per second: $\text{Gallons per hour} = \left( \frac{2}{231} \right) \times 3600 \approx 31.17 \text{ gallons per hour}$

2. Example 2: 5 Cubic inches per second: $\text{Gallons per hour} = \left( \frac{5}{231} \right) \times 3600 \approx 77.92 \text{ gallons per hour}$

3. Example 3: 10 Cubic inches per second: $\text{Gallons per hour} = \left( \frac{10}{231} \right) \times 3600 \approx 155.84 \text{ gallons per hour}$

Real-world Contexts

These conversions are useful in various real-world contexts, such as:

• Engineering and Fluid Dynamics: Understanding the flow rate of fluids in systems like hydraulic machinery or irrigation systems.
• Automotive and Aerospace Industries: Calculating fuel flow rates or coolant flow rates in engines.
• Water Management: Managing water flow in municipal water supplies or wastewater treatment facilities.

By accurately converting between units, professionals can ensure systems operate efficiently and safely.