PSI to Velocity Calculator

Velocity Formula:

\[ V = \sqrt{\frac{2 \times P_{psi} \times 6894.76}{\rho}} \]

Velocity (m/s):

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1. What is a PSI to Velocity Calculator?

Definition: This calculator converts pressure in PSI to fluid velocity in meters per second using Bernoulli's principle.

Purpose: It helps engineers and technicians determine fluid flow velocity based on pressure measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \sqrt{\frac{2 \times P_{psi} \times 6894.76}{\rho}} \]

Where:

\( V \) — Velocity (meters per second)
\( P_{psi} \) — Pressure (pounds per square inch)
\( \rho \) — Fluid density (kilograms per cubic meter)

Explanation: The formula converts PSI to Pascals (1 psi = 6894.76 Pa), then calculates velocity using Bernoulli's equation for incompressible flow.

3. Importance of Velocity Calculation

Details: Accurate velocity calculations are essential for designing piping systems, hydraulic systems, and understanding fluid dynamics in various engineering applications.

4. Using the Calculator

Tips: Enter the pressure in PSI and fluid density in kg/m³ (default 1000 for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this calculator make?
A: It assumes incompressible, inviscid flow with no elevation changes (simplified Bernoulli equation).

Q2: What's a typical fluid density for water?
A: Pure water at 4°C has a density of 1000 kg/m³, which is the default value.

Q3: Can I use this for gases?
A: Not directly, as gases are compressible. This calculator is designed for liquids.

Q4: Why is there a conversion factor of 6894.76?
A: This converts PSI to Pascals (1 psi = 6894.76 Pa) for consistent SI units in the calculation.

Q5: How accurate is this calculation?
A: It provides theoretical maximum velocity. Real-world values will be lower due to friction, viscosity, and other factors.