Cubic meters per second to Cubic yards per minute conversion

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

Sure, let's break this down step-by-step.

1. Understand the conversion factors:

   • 1 cubic meter (m³) is equivalent to approximately 1.30795 cubic yards (yd³).
   • 1 minute (min) is equivalent to 60 seconds (s).

2. Convert cubic meters to cubic yards: Given 1 cubic meter, we convert it to cubic yards: $1 \text{ m}^3 = 1 \text{ m}^3 \times 1.30795 \text{ yd}^3/\text{m}^3 = 1.30795 \text{ yd}^3$

3. Convert seconds to minutes: Given the flow rate is per second and we need it per minute, we multiply by 60: $1 \text{ m}^3/\text{s} = 1.30795 \text{ yd}^3/\text{s} \times 60 \text{ s/min}$ $1 \text{ m}^3/\text{s} = 1.30795 \times 60 \text{ yd}^3/\text{min} = 78.477 \text{ yd}^3/\text{min}$

So, 1 cubic meter per second is equivalent to 78.477 cubic yards per minute.

Real-World Examples:

Here are a few examples of various flow rates in cubic meters per second and their conversions to cubic yards per minute (yd³/min):

1. Example: Water flow in a river

   • Flow Rate: 10 m³/s
   • Conversion: $10 \text{ m}^3/\text{s} \times 78.477 \text{ yd}^3/\text{min} = 784.77 \text{ yd}^3/\text{min}$

2. Example: Industrial water usage

   • Flow Rate: 0.5 m³/s
   • Conversion: $0.5 \text{ m}^3/\text{s} \times 78.477 \text{ yd}^3/\text{min} = 39.2385 \text{ yd}^3/\text{min}$

3. Example: Large aquarium filtration system

   • Flow Rate: 0.1 m³/s
   • Conversion: $0.1 \text{ m}^3/\text{s} \times 78.477 \text{ yd}^3/\text{min} = 7.8477 \text{ yd}^3/\text{min}$

Summary:

When converting cubic meters per second (m³/s) to cubic yards per minute (yd³/min), you can use the conversion factor that 1 m³/s is equal to 78.477 yd³/min. This factor allows for easy conversions for various flow rates in real-world scenarios.