Cubic inches per second to Cubic meters per hour conversion

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

To convert from cubic inches per second (in³/s) to cubic meters per hour (m³/h), you need to use unit conversion factors. Here is the step-by-step process to convert 1 cubic inch per second to cubic meters per hour:

Step-by-Step Conversion:

1. Convert cubic inches to cubic meters:

   • 1 inch = 0.0254 meters
   • Therefore, $1 \text{ in}^3 = (0.0254 \text{ m})^3 = 0.0254^3 \text{ m}^3$
   • $0.0254^3 = 1.6387 \times 10^{-5} \text{ m}^3$
   • So, $1 \text{ in}^3 = 1.6387 \times 10^{-5} \text{ m}^3$

2. Convert seconds to hours:

   • 1 hour = 3600 seconds

3. Combine the conversions:

   • $1 \text{ in}^3/\text{s} = 1.6387 \times 10^{-5} \text{ m}^3/\text{s}$
   • To convert to per hour, multiply by the number of seconds in an hour: $1.6387 \times 10^{-5} \text{ m}^3/\text{s} \times 3600 \text{ s/h}$
   • $= 0.0598 \text{ m}^3/\text{h}$

Conversion Result:

So, 1 cubic inch per second is approximately 0.0598 cubic meters per hour.

Real World Examples for Other Quantities:

1. Kitchen Tap Water Flow:

   • A typical kitchen faucet might flow at about 10-15 cubic inches per second.
   • Using the conversion factor: $10 \text{ in}^3/\text{s} \times 0.0598 \text{ m}^3/\text{in}^3/\text{s} = 0.598 \text{ m}^3/\text{h}$

2. Garden Hose:

   • A garden hose could flow around 50-100 cubic inches per second.
   • For 50 cubic inches per second: $50 \times 0.0598 \text{ m}^3/\text{in}^3/\text{s} = 2.99 \text{ m}^3/\text{h}$
   • For 100 cubic inches per second: $100 \times 0.0598 \text{ m}^3/\text{in}^3/\text{s} = 5.98 \text{ m}^3/\text{h}$

3. Small Water Pump:

   • A small aquarium pump might flow at around 5 cubic inches per second.
   • Using the conversion factor: $5 \text{ in}^3/\text{s} \times 0.0598 \text{ m}^3/\text{in}^3/\text{s} = 0.299 \text{ m}^3/\text{h}$

These conversions help illustrate how to determine volume flow rates for different real-world situations using the fundamental conversion factor we derived.