Cubic inches per hour to Cubic Centimeters per second conversion

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

Sure, I can help explain the conversion and provide some real-world examples.

Conversion Process

1. Convert Cubic Inches to Cubic Centimeters:

   • 1 inch = 2.54 centimeters.
   • Therefore, 1 cubic inch (in³) can be converted to cubic centimeters (cm³) by cubing the conversion factor between inches and centimeters.
   • $1 \text{ in}³ = (2.54 \text{ cm})^3 = 16.3871 \text{ cm}³$.

2. Convert Hours to Seconds:

   • 1 hour = 3600 seconds.

3. Combine Both Conversions:

   • You need to convert cubic inches per hour to cubic centimeters per second.

   So: $1 \text{ in}³/\text{hr} = 16.3871 \text{ cm}³/\text{hr}$ $1 \text{ cm}³/\text{hr} = \frac{1}{3600} \text{ cm}³/\text{s}$

   Therefore: $16.3871 \text{ cm}³/\text{hr} \times \frac{1}{3600} \text{ hr/s} = 0.004552 \text{ cm}³/\text{s}$

So, 1 cubic inch per hour is approximately 0.004552 cubic centimeters per second.

Real-World Examples:

1. Aquarium Pump: Let's say an aquarium pump has a flow rate of 300 cubic inches per hour.

   • Converting this to cubic centimeters per second: $300 \text{ in}³/\text{hr} \times 0.004552 \text{ cm}³/\text{s} \approx 1.366 \text{ cm}³/\text{s}$

2. Small Fuel Injector: A small automotive fuel injector has a flow rate of 150 cubic inches per hour.

   • Converting this to cubic centimeters per second: $150 \text{ in}³/\text{hr} \times 0.004552 \text{ cm}³/\text{s} \approx 0.683 \text{ cm}³/\text{s}$

3. Laboratory Syringe Pump: A laboratory syringe pump dispenses fluid at a rate of 50 cubic inches per hour.

   • Converting this to cubic centimeters per second: $50 \text{ in}³/\text{hr} \times 0.004552 \text{ cm}³/\text{s} \approx 0.228 \text{ cm}³/\text{s}$

4. Water Drip: A slow water drip might be around 10 cubic inches per hour.

   • Converting this to cubic centimeters per second: $10 \text{ in}³/\text{hr} \times 0.004552 \text{ cm}³/\text{s} \approx 0.0455 \text{ cm}³/\text{s}$

These conversions help provide an intuitive understanding of flow rates in different contexts. Such conversions are particularly useful in fields like engineering, fluid dynamics, and various types of scientific research.