Cubic feet per second to Cubic meters per hour conversion

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

To convert cubic feet per second (CFS) to cubic meters per hour (m³/h), you need to follow these steps:

1. Convert cubic feet to cubic meters: 1 cubic foot is equivalent to approximately 0.0283168 cubic meters (m³).

2. Convert seconds to hours: There are 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour).

So, to convert 1 cubic foot per second to cubic meters per hour:

$1 \text{ CFS} = 1 \text{ cubic foot/second} \times 0.0283168 \text{ cubic meters/cubic foot} \times 3600 \text{ seconds/hour}$

$1 \text{ CFS} = 0.0283168 \text{ m³} \times 3600 \text{ s/hr}$

$1 \text{ CFS} \approx 101.7 \text{ m³/h}$

Hence, 1 cubic foot per second is approximately 101.7 cubic meters per hour.

Real-World Example Conversions

Here are some examples of other quantities of cubic feet per second and their equivalents in cubic meters per hour:

1. 5 cubic feet per second (CFS): $5 \text{ CFS} = 5 \times 101.7 \text{ m³/h} = 508.5 \text{ m³/h}$

2. 10 cubic feet per second (CFS): $10 \text{ CFS} = 10 \times 101.7 \text{ m³/h} = 1017 \text{ m³/h}$

3. 0.5 cubic feet per second (CFS): $0.5 \text{ CFS} = 0.5 \times 101.7 \text{ m³/h} = 50.85 \text{ m³/h}$

Real-World Contexts

Understanding the flow rate in both CFS and m³/h can be useful in various applications:

1. Water Supply: Engineers may need to know the rate at which water is supplied to a treatment plant. For example, a plant receiving 50 CFS of water would receive approximately 5085 m³/h.

2. River Discharge: Hydrologists often measure river discharge in cubic feet per second. For instance, a river with a discharge of 100 CFS is carrying approximately 10,170 m³/h, which can help in flood forecasting and management.

3. Industrial Processes: In an industrial setting, the flow rate of gases or fluids through pipelines might be measured in CFS. Knowing the equivalent in m³/h can be important for aligning with international standards or regulations.

By converting these measurements, professionals across different fields can ensure proper design, operational efficiency, and regulatory compliance.