Cubic feet per hour to Cubic yards per second conversion

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

To convert cubic feet per hour to cubic yards per second, follow these steps:

1. Convert cubic feet to cubic yards: One cubic yard is equivalent to 27 cubic feet (since $1 \text{ yd}^3 = 3^3 \text{ ft}^3 = 27 \text{ ft}^3$). Therefore, 1 cubic foot is equal to $\frac{1}{27}$ cubic yards.

2. Convert hours to seconds: One hour is equivalent to 3600 seconds (since $1 \text{ hr} = 3600 \text{ s}$).

3. Combine the conversions: Now, we need to get the conversion from cubic feet per hour to cubic yards per second by combining the above conversions.

   $\text{Cubic yards per second} = \left( \frac{\text{Cubic feet}}{27} \right) \times \left( \frac{1}{3600} \right)$

   Plugging in 1 cubic foot per hour:

   $1 \text{ cubic foot per hour} = \left( \frac{1}{27} \right) \text{ cubic yards per hour}$

   $1 \text{ cubic yard per hour} = \frac{1}{3600} \text{ cubic yards per second}$

   Therefore,

   $1 \text{ cubic foot per hour} = \left( \frac{1}{27} \right) \times \left( \frac{1}{3600} \right) \text{ cubic yards per second} = \frac{1}{97200} \text{ cubic yards per second}$

So, 1 cubic foot per hour is equal to $\frac{1}{97200}$ cubic yards per second.

Real-World Examples

• 20 Cubic Feet per Hour:

  • Convert to cubic yards: $20 \div 27 = \frac{20}{27}$ cubic yards per hour.
  • Convert to cubic yards per second: $\frac{20}{27} \div 3600 = \frac{20}{97200} \approx 0.000206$ cubic yards per second.

• 500 Cubic Feet per Hour:

  • Convert to cubic yards: $500 \div 27 = \frac{500}{27} \approx 18.52$ cubic yards per hour.
  • Convert to cubic yards per second: $\frac{500}{97200} \approx 0.00515$ cubic yards per second.

• 1000 Cubic Feet per Hour:

  • Convert to cubic yards: $1000 \div 27 \approx 37.04$ cubic yards per hour.
  • Convert to cubic yards per second: $\frac{1000}{97200} \approx 0.0103$ cubic yards per second.

• 1500 Cubic Feet per Hour:

  • Convert to cubic yards: $1500 \div 27 \approx 55.56$ cubic yards per hour.
  • Convert to cubic yards per second: $\frac{1500}{97200} \approx 0.0154$ cubic yards per second.

These conversions can be useful in various scenarios, such as determining the flow rate of water in irrigation channels, calculating the volume of material transported by conveyors or pipelines in construction projects, and many other industrial applications.