Cubic meters per minute to Cubic yards per second conversion

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

Certainly!

To convert cubic meters per minute (m³/min) to cubic yards per second (yd³/s), you must understand the conversion factors between these units:

1. There are 1,000 liters in a cubic meter.
2. There are approximately 1.30795 cubic yards in a cubic meter.
3. There are 60 seconds in a minute.

Conversion Steps

1. Start with the value in cubic meters per minute (m³/min).
2. Convert cubic meters to cubic yards using the conversion factor 1 m³ = 1.30795 yd³.
3. Adjust for the time conversion from minutes to seconds by dividing by 60.

So you execute the following conversions:

$1 \text{ m}³/\text{min} \times \frac{1.30795 \text{ yd}³}{1 \text{ m}³} \times \frac{1 \text{ min}}{60 \text{ s}} = 1 \times 1.30795 \times \frac{1}{60} \text{ yd}³/\text{s}$

$1 \text{ m}³/\text{min} = \frac{1.30795}{60} \text{ yd}³/\text{s}$

$1 \text{ m}³/\text{min} = 0.02179917 \text{ yd}³/\text{s}$

So, 1 cubic meter per minute (m³/min) is approximately 0.0218 cubic yards per second (yd³/s).

Real-World Examples

1. Household Water Usage: A typical shower might have a flow rate of around 0.1 m³/min. Converting this: $0.1 \text{ m}³/\text{min} \approx 0.1 \times 0.0218 = 0.00218 \text{ yd}³/\text{s}$

2. Industrial Pumping Systems: An industrial water pump might operate at 30 m³/min. Converting this: $30 \text{ m}³/\text{min} \approx 30 \times 0.0218 = 0.654 \text{ yd}³/\text{s}$

3. Fire Hydrants: Fire hydrants typically discharge water at roughly 50 m³/min. Converting this: $50 \text{ m}³/\text{min} \approx 50 \times 0.0218 = 1.09 \text{ yd}³/\text{s}$

Each of these examples shows different contexts where cubic meters per minute might be encountered and converted to cubic yards per second.