Cubic feet per second to Fluid Ounces per hour conversion

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

Sure! To convert cubic feet per second (cfs) to fluid ounces per hour (fl oz/hr), we need to follow a series of unit conversions. Here’s the step-by-step process:

1. Convert cubic feet to fluid ounces.

   • 1 cubic foot (ft³) is equal to 957.506 fluid ounces (fl oz).

2. Convert the time unit from seconds to hours.

   • There are 3600 seconds in an hour (60 seconds/min × 60 min/hr).

Step-by-Step Conversion:

1. Start with 1 cubic foot per second.
2. Convert cubic feet to fluid ounces: $1 \text{ ft³} = 957.506 \text{ fl oz}$ Therefore, 1 cubic foot per second (cfs) is: $1 \text{ ft³/sec} × 957.506 \text{ fl oz/ft³} = 957.506 \text{ fl oz/sec}$
3. Finally, convert the flow rate from per second to per hour: $957.506 \text{ fl oz/sec} × 3600 \text{ sec/hr} = 3,447,021.6 \text{ fl oz/hr}$

Result:

1 cubic foot per second is equivalent to 3,447,021.6 fluid ounces per hour.

Real World Examples for Other Quantities:

1. 0.5 Cubic feet per second (cfs):

   • $0.5 \text{ ft³/sec} × 957.506 \text{ fl oz/ft³} × 3600 \text{ sec/hr} = 1,723,510.8 \text{ fl oz/hr}$

2. 2 Cubic feet per second (cfs):

   • $2 \text{ ft³/sec} × 957.506 \text{ fl oz/ft³} × 3600 \text{ sec/hr} = 6,894,043.2 \text{ fl oz/hr}$

3. 5 Cubic feet per second (cfs):

   • $5 \text{ ft³/sec} × 957.506 \text{ fl oz/ft³} × 3600 \text{ sec/hr} = 17,235,108 \text{ fl oz/hr}$

Applications:

• Water Flow in Rivers: A river might have a flow rate of 10 cubic feet per second (cfs), which would equate to: $10 \text{ ft³/sec} × 957.506 \text{ fl oz/ft³} × 3600 \text{ sec/hr} = 34,470,216 \text{ fl oz/hr}$

• Hydraulic Systems: In industrial hydraulic systems, knowing the flow rate in cfs and converting to more manageable units like fluid ounces can be crucial for system efficiency and design.

By performing these kinds of conversions, you can better comprehend the magnitude of flow rates and better manage and design systems accordingly.