1. What is Velocity Calculation?

Velocity calculation using the formula V = Q/A determines the speed of fluid flow through a given cross-sectional area. This fundamental equation in fluid mechanics relates flow rate (Q) to velocity (V) and cross-sectional area (A).

2. How Does the Calculator Work?

The calculator uses the velocity formula:

Where:

• \( V \) — Velocity (m/s)
• \( Q \) — Flow rate (m³/s)
• \( A \) — Cross-sectional area (m²)

Explanation: The equation shows that velocity is directly proportional to flow rate and inversely proportional to cross-sectional area.

3. Importance of Velocity Calculation

Details: Calculating velocity is essential in various engineering applications including pipe design, fluid transport systems, hydraulic engineering, and environmental studies of water flow.

4. Using the Calculator

Tips: Enter flow rate in cubic meters per second (m³/s) and cross-sectional area in square meters (m²). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: The calculator uses SI units: flow rate in m³/s and area in m², resulting in velocity in m/s. Convert other units to these before calculation.

Q2: Can this formula be used for any fluid?
A: Yes, the formula V = Q/A applies to all incompressible fluids assuming uniform flow across the cross-section.

Q3: What if the cross-section is not circular?
A: The formula works for any cross-sectional shape as long as you accurately calculate the area.

Q4: Does this account for friction losses?
A: No, this is the theoretical velocity. Actual velocity may be lower due to friction and other losses in real systems.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given inputs, but actual system performance may vary based on fluid properties and system conditions.