1. What is the Velocity to Pressure Equation?

The velocity to pressure equation (ΔP = (1/2) ρ V^2) calculates dynamic pressure from fluid velocity and density. This formula is derived from Bernoulli's principle and is widely used in fluid dynamics to determine the pressure exerted by a moving fluid.

2. How Does the Calculator Work?

The calculator uses the velocity to pressure equation:

Where:

• \( \Delta P \) — Pressure (Pascals)
• \( \rho \) — Fluid density (kg/m³)
• \( V \) — Fluid velocity (m/s)

Explanation: The equation shows that pressure increases with the square of velocity, making velocity a critical factor in pressure calculations.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is essential for designing fluid systems, understanding aerodynamic forces, predicting weather patterns, and many engineering applications involving fluid flow.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ and velocity in m/s. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What types of fluids does this equation apply to?
A: This equation applies to incompressible fluids where density remains constant, such as water at normal conditions.

Q2: Is this the same as static pressure?
A: No, this calculates dynamic pressure, which is the pressure due to fluid motion. Total pressure is the sum of static and dynamic pressure.

Q3: What are typical density values for common fluids?
A: Air at sea level: ~1.225 kg/m³, Water: 1000 kg/m³, Mercury: 13500 kg/m³.

Q4: When is this equation not accurate?
A: For compressible fluids at high speeds (near or above Mach 0.3) or in viscous flows with significant friction losses.

Q5: How does temperature affect the calculation?
A: Temperature affects fluid density. For accurate results, use density values appropriate for the fluid temperature.