Cubic yards per hour to Cubic meters per minute conversion

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

To convert from cubic yards per hour to cubic meters per minute, you need to follow a series of steps which involve unit conversions.

First, let's break this down:

1. Conversion Factors:

   • 1 cubic yard (yd³) is equal to approximately 0.764554857984 cubic meters (m³).
   • 1 hour (hr) is equal to 60 minutes (min).

2. Conversion Process:

   • Start with 1 cubic yard per hour (yd³/hr).
   • Convert cubic yards to cubic meters.
   • Convert hours to minutes.

Step-by-Step Conversion:

1. Convert cubic yards to cubic meters:

$1 \text{ yd}³ = 0.764554857984 \text{ m}³$

So, 1 cubic yard per hour is:

$1 \text{ yd}³/\text{hr} = 0.764554857984 \text{ m}³/\text{hr}$

2. Convert hours to minutes:

Since 1 hour is 60 minutes,

$0.764554857984 \text{ m}³/\text{hr} \times \left( \frac{1 \text{ hr}}{60 \text{ min}} \right) = 0.764554857984/60 \text{ m}³/\text{min}$

$0.764554857984/60 = 0.0127425809664$

So,

$1 \text{ yd}³/\text{hr} = 0.0127425809664 \text{ m}³/\text{min}$

Therefore, 1 cubic yard per hour is approximately 0.0127425809664 cubic meters per minute.

Real-World Examples:

1. Concrete Mixing:

   • If a concrete mixer has a capacity of 5 cubic yards per hour, the conversion to cubic meters per minute would be: $5 \text{ yd}³/\text{hr} = 5 \times 0.0127425809664 \text{ m}³/\text{min} = 0.063712904832 \text{ m}³/\text{min}$

2. Water Flow Rate:

   • If a pump discharges water at a rate of 20 cubic yards per hour: $20 \text{ yd}³/\text{hr} = 20 \times 0.0127425809664 \text{ m}³/\text{min} = 0.254851619328 \text{ m}³/\text{min}$

3. Earth Moving:

   • An excavator capable of moving 15 cubic yards of earth per hour can have its rate expressed in cubic meters per minute as follows: $15 \text{ yd}³/\text{hr} = 15 \times 0.0127425809664 \text{ m}³/\text{min} = 0.191138714496 \text{ m}³/\text{min}$

These examples illustrate the conversion from cubic yards per hour to cubic meters per minute in different real-world scenarios.