Bernoulli's Equation

🌊

intermediate

Calculate pressure, velocity, or height in a fluid

Formula

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂

Compare two scenarios side-by-side

Pressure 1

Velocity 1

m/s

Height 1

Fluid Density

kg/m³

Velocity 2

m/s

Height 2

Pressure 2

—

Gravity

—

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About This Calculator & Guide

About the Bernoulli's Equation

The Bernoulli's Equation is a dedicated tool in our Physics category designed to help you calculate pressure, velocity, or height in a fluid in seconds. By automating the underlying mathematics, this utility eliminates manual calculations and provides reliable, instantaneous estimations.

Mathematical Principles & Calculation Steps

To compute the results, the calculation engine processes your custom inputs: Pressure 1 (Pa), Velocity 1 (m/s), Height 1 (m), Fluid Density (kg/m³), Velocity 2 (m/s), Height 2 (m). Specifically, the calculations are evaluated using the standard relationship: P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂. All computations are performed locally within your secure browser session, ensuring absolute data privacy and instantaneous updates without any network delay.

Worked Step-by-Step Calculation Example

Worked Example Sandbox

For illustrative purposes, consider the following calculation using our default values. When we initialize the input fields with Pressure 1 = 200000 Pa, Velocity 1 = 2 m/s, Height 1 = 10 m, Fluid Density = 1000 kg/m³, Velocity 2 = 5 m/s, Height 2 = 5 m, the client-side calculator processes the numbers to resolve the formula and produce the final outputs: Pressure 2 = 238,500 Pa and Gravity = 9.8 m/s².

How to Use This Calculator

Set Inputs: Adjust the input values: Pressure 1, Velocity 1, Height 1 to match your scenario.
Verify Outputs: The outputs: Pressure 2, Gravity are updated in real-time on your screen.
Iterate: Change values and compare alternative scenarios to find your optimal result.

Frequently Asked Questions

What does the Bernoulli's Equation calculator do?+

Calculate pressure, velocity, or height in a fluid It is part of the Physics category on WebCalcSys and provides instant, accurate results. Simply enter your values and the calculator computes the answer in real time — no downloads or sign-ups required.

How do I use the Bernoulli's Equation calculator?+

Enter the required values (Pressure 1, Velocity 1, Height 1, Fluid Density, Velocity 2) into the input fields. The calculator processes your data instantly and displays Pressure 2, Gravity in real time. You can adjust any input to run what-if scenarios.

What formula does the Bernoulli's Equation calculator use?+

This calculator uses the formula: P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂. It is based on standard physics principles and is trusted by students, professionals, and educators worldwide.