Cubic yards per hour to Fluid Ounces per second conversion

How to convert cubic yards per hour to fluid ounces per second?

To convert cubic yards per hour (yd³/hr) to fluid ounces per second (fl oz/s), you need to use the following conversion factors:

1. There are 27 cubic feet in one cubic yard.
2. There are 7.48052 gallons in one cubic foot.
3. There are 128 fluid ounces in one gallon.
4. There are 3600 seconds in one hour.

Here's a step-by-step process for the conversion:

1. Start with the given volume flow rate in cubic yards per hour (1 yd³/hr).
2. Convert cubic yards to cubic feet.
3. Convert cubic feet to gallons.
4. Convert gallons to fluid ounces.
5. Convert hours to seconds.

Detailed Conversion Steps:

1. Convert cubic yards to cubic feet: $1 \, \text{yd}^3 \times 27 \, \left(\frac{\text{ft}^3}{\text{yd}^3}\right) = 27 \, \text{ft}^3/\text{hr}$

2. Convert cubic feet to gallons: $27 \, \text{ft}^3/\text{hr} \times 7.48052 \, \left(\frac{\text{gallons}}{\text{ft}^3}\right) = 201.97352 \, \text{gallons}/\text{hr}$

3. Convert gallons to fluid ounces: $201.97352 \, \text{gallons}/\text{hr} \times 128 \, \left(\frac{\text{fl oz}}{\text{gallon}}\right) = 25852.6096 \, \text{fl oz}/\text{hr}$

4. Convert hours to seconds: $25852.6096 \, \text{fl oz}/\text{hr} \div 3600 \, \left(\frac{\text{seconds}}{\text{hr}}\right) = 7.18128 \, \text{fl oz}/\text{s}$

So, $1 \, \text{cubic yard per hour}$ is approximately $7.181 \, \text{fluid ounces per second}$.

Real-World Examples for Other Quantities of Cubic Yards per Hour:

• Construction and Earthmoving: A typical large backhoe might move around 50 cubic yards of earth per hour. Converting that to fluid ounces per second: $50 \, \text{yd}^3/\text{hr} \times 7.181 \Rightarrow 359.065 \, \text{fl oz}/\text{s}$

• Water Pumping Stations: A moderate-sized water pumping station might pump about 10 cubic yards of water per hour. Converting that: $10 \, \text{yd}^3/\text{hr} \times 7.181 \Rightarrow 71.81 \, \text{fl oz}/\text{s}$

• Agricultural Irrigation: A large-scale irrigation system might distribute around 100 cubic yards of water per hour. Converting that: $100 \, \text{yd}^3/\text{hr} \times 7.181 \Rightarrow 718.1 \, \text{fl oz}/\text{s}$

This conversion can be useful in various fields, including construction, fluid dynamics, and any scenario where large volumes of a liquid are moved or processed.