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Bernoulli's Equation Check

Experiment Module

Bernoulli Constant

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Bernoulli's Equation Check is an essential tool for understanding Bernoulli's Equation Check in quantitative terms. Calculate constant: P + 0.5ρv² + ρgh.

Mathematical Formulation

The relationship between the variables is governed by the following equation:

Result = p + (0.5 × rho × v × v) + (rho × 9.8 × h)
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
p Pressure (P) Pa
rho Density (ρ) kg/m³
v Velocity (v) m/s
h Height (h) m

Practical Calculation Example

Problem

Calculating the result when:

  • Pressure (P) = 80 Pa
  • Density (ρ) = 55 kg/m³
  • Velocity (v) = 30 m/s
  • Height (h) = 25 m

Solution

Substituting into Eq 1.1:

Result = 80 + (0.5 × 55 × 30 × 30) + (55 × 9.8 × 25)