What is the flow rate in cubic meters per second in a fire hose carrying 80.0L of water per second ?
The correct answer and explanation is:
To calculate the flow rate in cubic meters per second (m³/s), we need to convert the given flow rate from liters per second (L/s) to cubic meters per second. Since 1 liter (L) equals 0.001 cubic meters (m³), the conversion is straightforward: 1 L=0.001 m31 \, \text{L} = 0.001 \, \text{m}^3
Given the flow rate is 80.0 L/s, we can convert this to cubic meters per second as follows: 80.0 L/s×0.001 m3/L=0.0800 m3/s80.0 \, \text{L/s} \times 0.001 \, \text{m}^3/\text{L} = 0.0800 \, \text{m}^3/\text{s}
So, the flow rate in cubic meters per second is 0.0800 m³/s.
Explanation:
Flow rate is a measure of how much fluid (in this case, water) passes through a given point in a specific amount of time. It can be expressed in different units, and the most common units used for flow rate are liters per second (L/s) or cubic meters per second (m³/s).
In this scenario, we were given the flow rate in liters per second. To convert it to cubic meters per second, we utilized the conversion factor that 1 liter equals 0.001 cubic meters. The reason this conversion is necessary is because both liters and cubic meters are used to measure volume, but they differ in scale. A liter is much smaller than a cubic meter (1 cubic meter equals 1000 liters).
This conversion is useful in various engineering applications, such as when designing or analyzing water distribution systems, fire hose capabilities, and fluid transport systems. By converting to cubic meters per second, we ensure that the measurement aligns with other standard units of volume flow in scientific and engineering contexts.