Cubic yards per hour to Cubic Millimeters per second conversion

How to convert cubic yards per hour to cubic millimeters per second?

Converting 1 cubic yard per hour to cubic millimeters per second involves several steps. Here's a breakdown of the conversion:

1. Cubic yards to cubic meters:

   • 1 cubic yard (yd³) = 0.764554857984 cubic meters (m³)

2. Cubic meters to cubic millimeters:

   • 1 cubic meter = 1,000,000,000 (10^9) cubic millimeters (mm³)

3. Hours to seconds:

   • 1 hour = 3,600 seconds

Now, let's perform the conversion step-by-step:

1. Calculate how many cubic meters are in 1 cubic yard: $1 \, \text{yd}³ = 0.764554857984 \, \text{m}³$

2. Convert cubic meters to cubic millimeters: $0.764554857984 \, \text{m}³ \times 10^9 \, \text{mm}³/\text{m}³ = 764,554,857.984 \, \text{mm}³$

3. Convert hours to seconds: $1 \, \text{hour} = 3,600 \, \text{seconds}$

4. Finally, divide the volume in cubic millimeters by the number of seconds in an hour: $\frac{764,554,857.984 \, \text{mm}³}{3,600 \, \text{s}} \approx 212,376.3494 \, \text{mm}³/\text{s}$

So, 1 cubic yard per hour is approximately 212,376.3494 cubic millimeters per second.

Real-World Examples

1. Concrete Pouring:

   • If a concrete pump delivers 10 cubic yards per hour:
     • $10 \times 212,376.3494 \approx 2,123,763.494 \, \text{mm}³/\text{s}$
     • This means the pump delivers approximately 2,123,763.494 cubic millimeters of concrete per second.

2. Water Flow for Irrigation:

   • An agricultural irrigation system might deliver 5 cubic yards per hour:
     • $5 \times 212,376.3494 \approx 1,061,881.747 \, \text{mm}³/\text{s}$
     • This means the irrigation system delivers approximately 1,061,881.747 cubic millimeters of water per second.

3. Sand Moving in Construction:

   • A conveyor belt moves 15 cubic yards of sand per hour:
     • $15 \times 212,376.3494 \approx 3,185,645.242 \, \text{mm}³/\text{s}$
     • This means the conveyor moves approximately 3,185,645.242 cubic millimeters of sand per second.

4. Dredging Operations:

   • A dredger might remove 25 cubic yards of sediment per hour:
     • $25 \times 212,376.3494 \approx 5,309,408.735 \, \text{mm}³/\text{s}$
     • This means the dredger removes approximately 5,309,408.735 cubic millimeters of sediment per second.

These examples illustrate how to convert cubic yards per hour to cubic millimeters per second and provide context for understanding flow rates in various real-world scenarios.