Cubic yards per hour to Cubic feet per minute conversion

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

To convert a flow rate from cubic yards per hour (yd³/hr) to cubic feet per minute (ft³/min), you need to follow these steps:

1. Understand the Conversion Factors:

   • 1 yard = 3 feet, so 1 cubic yard (yd³) = 3 ft * 3 ft * 3 ft = 27 cubic feet (ft³).
   • 1 hour = 60 minutes.

2. Conversion Calculation:

   • Start with the given flow rate in cubic yards per hour.
   • Convert cubic yards to cubic feet: Multiply by 27 (since 1 yd³ = 27 ft³).
   • Convert hours to minutes: Divide by 60 (since 1 hr = 60 min).

Thus, the formula to convert cubic yards per hour (yd³/hr) to cubic feet per minute (ft³/min) is:

$\text{Flow rate in ft³/min} = \left( \text{Flow rate in yd³/hr} \right) \times \left( \frac{27 \text{ ft³}}{1 \text{ yd³}} \right) \times \left( \frac{1 \text{ hr}}{60 \text{ min}} \right)$

For 1 cubic yard per hour:

$\text{Flow rate in ft³/min} = 1 \times 27 \div 60$ $\text{Flow rate in ft³/min} = 27 \div 60$ $\text{Flow rate in ft³/min} = 0.45$

So, 1 cubic yard per hour is equivalent to 0.45 cubic feet per minute.

Real-World Examples:

1. Concrete Mixer:

   • A small concrete mixer releases concrete at 2 cubic yards per hour.
     • Converted to ft³/min: $2 \times 27 \div 60 = 0.9 \text{ ft³/min}$.

2. Excavation:

   • An excavation site processes 10 cubic yards of soil per hour.
     • Converted to ft³/min: $10 \times 27 \div 60 = 4.5 \text{ ft³/min}$.

3. Air Handling Units:

   • An air ventilation unit handles air at a rate of 5 cubic yards per hour.
     • Converted to ft³/min: $5 \times 27 \div 60 = 2.25 \text{ ft³/min}$.

4. Pump Output:

   • A water pump with an output of 20 cubic yards per hour.
     • Converted to ft³/min: $20 \times 27 \div 60 = 9 \text{ ft³/min}$.

Each of these conversions helps to relate the flow rates to more commonly used and manageable units, making it easier to compare and understand in real-world applications.