Cubic feet per second to Cubic meters per minute conversion

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

To convert cubic feet per second (ft³/s) to cubic meters per minute (m³/min), you need to follow these steps:

1. Convert cubic feet to cubic meters:

   • 1 cubic foot is equal to 0.0283168 cubic meters.
   • So, 1 ft³ = 0.0283168 m³.

2. Convert seconds to minutes:

   • There are 60 seconds in a minute.

3. Combine these conversions:

   • Given that the flow rate is in cubic feet per second, we first convert the cubic feet to cubic meters and then account for the time conversion from seconds to minutes.

Here's the step-by-step process:

1. Convert 1 cubic foot per second to cubic meters: $1 \text{ ft}³ \text{/s} \times 0.0283168 \text{ m}³/\text{ft}³ = 0.0283168 \text{ m}³/\text{s}$

2. Convert cubic meters per second to cubic meters per minute: $0.0283168 \text{ m}³/\text{s} \times 60 \text{ s/min} = 1.699008 \text{ m}³/\text{min}$

So, 1 cubic foot per second (ft³/s) is equal to approximately 1.699 cubic meters per minute (m³/min).

Real-World Examples:

1. Rivers and Streams:

   • Small rivers might have a flow rate of about 100 ft³/s.
     • Converting to m³/min: $100 \text{ ft}³/\text{s} \times 1.699 \text{ m}³/\text{min} = 169.9 \text{ m}³/\text{min}$

2. Fire Hoses:

   • A standard fire hose can discharge water at a rate of 250 ft³/s.
     • Converting to m³/min: $250 \text{ ft}³/\text{s} \times 1.699 \text{ m}³/\text{min} = 424.75 \text{ m}³/\text{min}$

3. Hydroelectric Plants:

   • A small hydroelectric plant may use flow rates like 500 ft³/s.
     • Converting to m³/min: $500 \text{ ft}³/\text{s} \times 1.699 \text{ m}³/\text{min} = 849.5 \text{ m}³/\text{min}$

4. Irrigation Systems:

   • Large irrigation channels might have flow rates around 150 ft³/s.
     • Converting to m³/min: $150 \text{ ft}³/\text{s} \times 1.699 \text{ m}³/\text{min} = 254.85 \text{ m}³/\text{min}$

These conversions help in understanding and comparing the magnitude of various water flow rates in different units and contexts.