Cubic feet per hour to Cubic meters per second conversion

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

Sure, let's break down the conversion process and then provide some real-world examples of converting cubic feet per hour (cfh) to cubic meters per second (m³/s).

Conversion Steps

1. Understand the Units:

   • 1 cubic foot (ft³): The volume of a cube with edges of one foot.
   • 1 hour (hr): A unit of time.

2. Unit Equivalences:

   • 1 foot = 0.3048 meters.
   • Therefore, 1 cubic foot = (0.3048 meters)³ = 0.0283168 cubic meters (m³).

3. Time Conversion:

   • 1 hour = 3600 seconds.

4. Setting Up the Conversion:

   • To convert cubic feet per hour to cubic meters per second, you need to account for both the volume and the time units.

5. Performing the Conversion:

   • Convert 1 cubic foot to cubic meters: $1 \, \text{ft³} = 0.0283168 \, \text{m³}$.
   • Convert 1 hour to seconds: $1 \, \text{hr} = 3600 \, \text{s}$.

6. Combine the Conversions:

$1 \, \text{cfh} = \frac{0.0283168 \, \text{m³}}{3600 \, \text{s}}$

$1 \, \text{cfh} = 7.8652 \times 10^{-6} \, \text{m³/s}$

Real-World Examples

Example 1: 100 Cubic Feet per Hour (cfh)

1. Convert 100 cubic feet to cubic meters: $100 \, \text{ft³} = 100 \times 0.0283168 = 2.83168 \, \text{m³}$.
2. Convert to Cubic Meters per Second:

$100 \, \text{cfh} = \frac{2.83168 \, \text{m³}}{3600 \, \text{s}} \approx 7.8652 \times 10^{-4} \, \text{m³/s}$

Example 2: 5000 Cubic Feet per Hour (cfh)

1. Convert 5000 cubic feet to cubic meters: $5000 \, \text{ft³} = 5000 \times 0.0283168 = 141.584 \, \text{m³}$.
2. Convert to Cubic Meters per Second:

$5000 \, \text{cfh} = \frac{141.584 \, \text{m³}}{3600 \, \text{s}} \approx 0.03933 \, \text{m³/s}$

Example 3: 500 Cubic Feet per Hour (cfh)

1. Convert 500 cubic feet to cubic meters: $500 \, \text{ft³} = 500 \times 0.0283168 = 14.1584 \, \text{m³}$.
2. Convert to Cubic Meters per Second:

$500 \, \text{cfh} = \frac{14.1584 \, \text{m³}}{3600 \, \text{s}} \approx 3.933 \times 10^{-3} \, \text{m³/s}$

Other Applications

• Ventilation Systems: The airflow rate might be given in cubic feet per hour, and engineers might need to convert it to cubic meters per second for system designs.
• Gas Pipelines: Natural gas flow rates are often measured in cubic feet per hour and might need converting for different standard units used internationally.
• Fluid Dynamics: In scientific research or industrial contexts, fluid flow rates might need to be converted among various units for compatibility with analytical tools.

These examples and conversions illustrate how to move between different units of volume flow rate as required by the application's context.