Cubic meters per second to Fluid Ounces per hour conversion

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

To convert cubic meters per second (m³/s) to fluid ounces per hour (fl oz/h), you'll need to use the following conversion factors:

1 cubic meter (m³) = 1,000 liters (L) 1 liter (L) = 33.814 fluid ounces (fl oz)

1 hour = 3,600 seconds

Here is the step-by-step process:

1. Start with the flow rate in cubic meters per second: $1 \, \text{m³/s}$

2. Convert cubic meters to liters: $1 \, \text{m³/s} \times 1,000 \, \text{L/m³} = 1,000 \, \text{L/s}$

3. Convert liters to fluid ounces: $1,000 \, \text{L/s} \times 33.814 \, \text{fl oz/L} = 33,814 \, \text{fl oz/s}$

4. Convert seconds to hours: $33,814 \, \text{fl oz/s} \times 3,600 \, \text{s/h} = 121,730,400 \, \text{fl oz/h}$

So, 1 cubic meter per second is equal to 121,730,400 fluid ounces per hour.

Real World Examples

1. Water Flow in a River: Many rivers have flow rates in cubic meters per second. For instance, the average flow of the Mississippi River at New Orleans is approximately 16,800 cubic meters per second.

   • Flow rate in Mississippi River: $16,800 \, \text{m³/s}$
   • Convert to fluid ounces per hour: $16,800 \, \text{m³/s} \times 121,730,400 \, \text{fl oz/h per m³/s} = 2,045,036,720,000 \, \text{fl oz/h}$

2. Municipal Water Supply: A city's water treatment plant might process water at a rate of 0.5 cubic meters per second.

   • Flow rate of water treatment plant: $0.5 \, \text{m³/s}$
   • Convert to fluid ounces per hour: $0.5 \, \text{m³/s} \times 121,730,400 \, \text{fl oz/h per m³/s} = 60,865,200 \, \text{fl oz/h}$

3. Fire Hydrants: A large fire hydrant might discharge water at a rate of 0.03 cubic meters per second during use.

   • Flow rate of fire hydrant: $0.03 \, \text{m³/s}$
   • Convert to fluid ounces per hour: $0.03 \, \text{m³/s} \times 121,730,400 \, \text{fl oz/h per m³/s} = 3,651,912 \, \text{fl oz/h}$

These conversions and examples highlight how large the figures can become when converting from cubic meters per second to fluid ounces per hour, emphasizing the utility of cubic meters per second for larger scale fluid flows.