Cubic meters per second to Cubic feet per hour conversion

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

To convert from cubic meters per second (m³/s) to cubic feet per hour (ft³/h), we need to follow these steps:

1. Conversion factor: First, we need the conversion factor between cubic meters and cubic feet.

   1 cubic meter = 35.3147 cubic feet

2. Seconds to hours: There are 3600 seconds in one hour since:

   1 hour = 60 minutes 1 minute = 60 seconds So, 1 hour = 60 * 60 = 3600 seconds

3. Calculate the conversion: Multiply the volume per second by the number of seconds in an hour to get the volume per hour.

So for 1 cubic meter per second:

$\text{1 m³/s} \times \text{35.3147 ft³/m³} \times \text{3600 s/h} = 127132.92 ft³/h$

Therefore, 1 cubic meter per second equals 127132.92 cubic feet per hour.

Real-World Examples for Other Quantities:

1. Standard Kitchen Sink Flow (0.003 m³/s):

   • A typical kitchen faucet might have a flow rate of about 0.003 m³/s, which is: $0.003 \, \text{m³/s} \times 35.3147 \times 3600 = 381.40 \, \text{ft³/h}$

2. Fire Hose (0.05 m³/s):

   • A large fire hose can have a flow rate of about 0.05 m³/s, which is: $0.05 \, \text{m³/s} \times 35.3147 \times 3600 = 6356.65 \, \text{ft³/h}$

3. Water Treatment Plant (5 m³/s):

   • A large water treatment plant could process water at a rate of 5 m³/s, which is: $5 \, \text{m³/s} \times 35.3147 \times 3600 = 635664.6 \, \text{ft³/h}$

4. River Flow (1000 m³/s):

   • A significant river might have a flow rate of around 1000 m³/s, for instance: $1000 \, \text{m³/s} \times 35.3147 \times 3600 = 127132920 \, \text{ft³/h}$

These conversions help in understanding how different flow rates translate in more familiar terms of cubic feet per hour, which can be particularly useful when dealing with different measurement systems or when requiring a more precise understanding of large-scale water movements.