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Flow Velocity to Rate Calculator

Flow Rate Equation:

\[ Q = v \times A \]

m/s

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1. What is the Flow Rate Equation?

The flow rate equation (Q = v × A) calculates volumetric flow rate from fluid velocity and cross-sectional area. It's fundamental in fluid dynamics for determining how much fluid passes through a given area per unit time.

2. How Does the Calculator Work?

The calculator uses the flow rate equation:

\[ Q = v \times A \]

Where:

Explanation: The equation shows that flow rate increases proportionally with both velocity and cross-sectional area.

3. Importance of Flow Rate Calculation

Details: Flow rate calculations are essential in engineering, hydrology, and medicine for designing piping systems, calculating blood flow, and managing water resources.

4. Using the Calculator

Tips: Enter velocity in meters per second and cross-sectional area in square meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses SI units (m/s for velocity, m² for area). For other units, convert to SI first.

Q2: Does this work for compressible fluids?
A: This simple equation works best for incompressible fluids. For compressible fluids, additional factors must be considered.

Q3: How do I measure cross-sectional area?
A: For pipes, use A = πr² where r is the radius. For irregular shapes, more complex calculations are needed.

Q4: What's a typical flow velocity?
A: In pipes, typical velocities range from 1-3 m/s for liquids. Blood flow averages about 0.5 m/s in arteries.

Q5: Can I calculate velocity from flow rate?
A: Yes, rearrange the equation: v = Q/A. You'll need to know the flow rate and cross-sectional area.

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