Cubic yards per hour to Cubic feet per second conversion

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

To convert 1 cubic yard per hour (yd³/hr) to cubic feet per second (ft³/s), you need to follow these steps:

1. Understand the conversion factors:

   • 1 cubic yard (yd³) = 27 cubic feet (ft³)
   • 1 hour (hr) = 3600 seconds (s)

2. Convert the volume from cubic yards to cubic feet: Since 1 cubic yard is equivalent to 27 cubic feet, 1 cubic yard per hour is equivalent to 27 cubic feet per hour.

3. Convert the time from hours to seconds: Since 1 hour is equivalent to 3600 seconds, you need to divide the cubic feet per hour by the number of seconds in an hour to get cubic feet per second.

4. Perform the calculation: $\frac{27 \text{ ft}³/\text{hr}}{3600 \text{ seconds/hr}} = 0.0075 \text{ ft}³/\text{s}$

So, 1 cubic yard per hour is equivalent to 0.0075 cubic feet per second.

Real World Examples:

1. Concrete Pouring:

   • If a concrete mixer pours at a rate of 10 cubic yards per hour, you can convert this to cubic feet per second. $10 \text{ yd}³/\text{hr} = 10 \times 27 = 270 \text{ ft}³/\text{hr}$ $\frac{270 \text{ ft}³/\text{hr}}{3600 \text{ s/hr}} = 0.075 \text{ ft}³/\text{s}$
   • So, 10 cubic yards per hour is equivalent to 0.075 cubic feet per second.

2. Water Flow:

   • Imagine a water pump moving water at 5 cubic yards per hour. $5 \text{ yd}³/\text{hr} = 5 \times 27 = 135 \text{ ft}³/\text{hr}$ $\frac{135 \text{ ft}³/\text{hr}}{3600 \text{ s/hr}} = 0.0375 \text{ ft}³/\text{s}$
   • Thus, 5 cubic yards per hour is equivalent to 0.0375 cubic feet per second.

3. Earthmoving Equipment:

   • A bulldozer clearing soil at 3 cubic yards per hour: $3 \text{ yd}³/\text{hr} = 3 \times 27 = 81 \text{ ft}³/\text{hr}$ $\frac{81 \text{ ft}³/\text{hr}}{3600 \text{ s/hr}} = 0.0225 \text{ ft}³/\text{s}$
   • So, 3 cubic yards per hour is equivalent to 0.0225 cubic feet per second.

4. Agricultural Irrigation:

   • An irrigation system delivering 8 cubic yards per hour: $8 \text{ yd}³/\text{hr} = 8 \times 27 = 216 \text{ ft}³/\text{hr}$ $\frac{216 \text{ ft}³/\text{hr}}{3600 \text{ s/hr}} = 0.06 \text{ ft}³/\text{s}$
   • Thus, 8 cubic yards per hour is equivalent to 0.06 cubic feet per second.

These examples showcase different applications of converting cubic yards per hour into cubic feet per second, illustrating how to use the conversion in various contexts.