Calculate the flow rate of the air in the pipeline in litres per second

To calculate the flow rate of air in **liters per second (L/s)**, we can start by calculating the **volumetric flow rate** in cubic meters per second (m³/s) and then convert it to liters per second.

### Given:
- **Air speed (velocity, \(v\))** = 2.03 m/s
- **Cross-sectional area of the pipe (\(A\))** = 0.157 m²
- 1 cubic meter = 1000 liters (volume conversion).

### Step 1: Calculate the volumetric flow rate (\(Q\)) in m³/s using the formula:

\[
Q = A \times v
\]

Where:
- \(A\) is the area in m².
- \(v\) is the velocity in m/s.

### Step 2: Convert the volumetric flow rate to liters per second.

Let me calculate that.# Given values
velocity = 2.03  # m/s (air speed)
area = 0.157  # m² (cross-sectional area of the pipe)

# Step 1: Calculate volumetric flow rate in cubic meters per second
volumetric_flow_rate_m3_per_s = area * velocity

# Step 2: Convert cubic meters per second to liters per second (1 m³ = 1000 liters)
volumetric_flow_rate_L_per_s = volumetric_flow_rate_m3_per_s * 1000

volumetric_flow_rate_L_per_sThe flow rate of the air in the pipeline is approximately **318.71 liters per second (L/s)**.

Let me know if you'd like more details on the calculation or further questions. Here are five related questions:

1. How does the velocity of air affect the flow rate in a pipeline?
2. What is the difference between mass flow rate and volumetric flow rate?
3. How would a change in pipe diameter affect the flow rate?
4. What units are typically used for flow rates in different industries?
5. How is flow rate measured in practical applications?

**Tip**: When calculating flow rates, always ensure the area and velocity are in consistent units (e.g., m² and m/s for SI units) to avoid errors.

Learn how to calculate the flow rate of air in a pipeline using the volumetric flow rate formula. Given the air speed (velocity) of 2.03 m/s and cross-sectional area of the pipe of 0.157 m², compute the flow rate in liters per second (L/s). This problem involves fluid mechanics concepts and unit conversions.

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