Cubic inches per hour to Cubic meters per second conversion

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

To convert cubic inches per hour (in³/hr) to cubic meters per second (m³/s), you can use the following steps:

1. Understand the conversion factors:

   • 1 inch = 0.0254 meters
   • 1 cubic inch (in³) = (0.0254 meters)³ = 1.63871 × 10^(-5) cubic meters (m³)
   • There are 3600 seconds in an hour.

2. Set up the conversion formula: $\frac{1 \text{ in}^3}{\text{hr}} \times \frac{1.63871 \times 10^{-5} \text{ m}^3}{1 \text{ in}^3} \times \frac{1 \text{ hr}}{3600 \text{ s}}$

3. Perform the conversion: $\frac{1 \text{ in}^3}{\text{hr}} \times \frac{1.63871 \times 10^{-5} \text{ m}^3}{1 \text{ in}^3} \times \frac{1 \text{ hr}}{3600 \text{ s}} = 4.5511 \times 10^{-9} \text{ m}^3/\text{s}$

So, $1 \text{ in}^3/\text{hr} = 4.5511 \times 10^{-9} \text{ m}^3/\text{s}$.

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

1. Water Dripping from a Faucet:

   • A small drip might measure around 500 cubic inches per hour.
   • Conversion: $500 \text{ in}^3/\text{hr} = 500 \times 4.5511 \times 10^{-9} \text{ m}^3/\text{s} = 2.27555 \times 10^{-6} \text{ m}^3/\text{s}$.

2. Fuel Consumption in a Compact Engine:

   • Suppose an engine consumes fuel at a rate of 1000 cubic inches per hour.
   • Conversion: $1000 \text{ in}^3/\text{hr} = 1000 \times 4.5511 \times 10^{-9} \text{ m}^3/\text{s} = 4.5511 \times 10^{-6} \text{ m}^3/\text{s}$.

3. Flow Rate of a Small Stream:

   • A small stream might have a flow rate of approximately 1,000,000 cubic inches per hour.
   • Conversion: $1,000,000 \text{ in}^3/\text{hr} = 1,000,000 \times 4.5511 \times 10^{-9} \text{ m}^3/\text{s} = 4.5511 \times 10^{-3} \text{ m}^3/\text{s}$ or 0.0045511 m³/s.

Understanding these conversions can help provide context for flow rates in various real-world situations.