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Velocity from Pressure Calculator

Velocity Formula:

\[ v = \sqrt{\frac{2q}{\rho}} \]

Pa
kg/m³
m/s

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1. What is a Velocity from Pressure Calculator?

Definition: This calculator determines the velocity of a fluid based on its dynamic pressure and density.

Purpose: It helps engineers, physicists, and students calculate flow velocity in aerodynamics, hydrodynamics, and other fluid mechanics applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \sqrt{\frac{2q}{\rho}} \]

Where:

Explanation: The formula derives from Bernoulli's principle, relating the kinetic energy of the fluid to its dynamic pressure.

3. Importance of Velocity Calculation

Details: Accurate velocity calculations are essential for designing aircraft, ventilation systems, pipelines, and understanding fluid flow in various engineering applications.

4. Using the Calculator

Tips: Enter the dynamic pressure in Pascals and fluid density in kg/m³ (default 1.225 kg/m³ for air at sea level). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is dynamic pressure?
A: Dynamic pressure is the kinetic energy per unit volume of a fluid, representing the pressure due to fluid motion.

Q2: What's a typical air density value?
A: At sea level and 15°C, air density is approximately 1.225 kg/m³, but this varies with altitude and temperature.

Q3: Can this be used for any fluid?
A: Yes, the formula works for any incompressible fluid when you use the appropriate density value.

Q4: How accurate is this calculation?
A: It's accurate for ideal, incompressible flow. For compressible flow at high speeds, more complex formulas are needed.

Q5: What are typical applications?
A: Used in aerodynamics (aircraft design), HVAC systems, hydraulic engineering, and any application involving fluid flow measurement.

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