\[q=\frac{1}{2}\rho V^{2}\]
Variables
qdynamic pressure (Pa)
rho[ρ]fluid density (kg/m³)
Vvelocity relative to the fluid (m/s)
Description
What is this formula?
Dynamic Pressure calculates the pressure associated with the kinetic energy of a moving fluid.
It represents how strongly the fluid motion can produce aerodynamic forces on a body.
When to use it
Use this formula in aerodynamics, aircraft performance, wind tunnel analysis, flow measurement, and fluid mechanics.
It is especially useful because lift and drag are commonly expressed as dynamic pressure multiplied by an area and an aerodynamic coefficient.
Example
An aircraft flies through air with:
Air density = 1.225 kg/m³
Velocity = 70 m/s
Formula:
q = 0.5 × ρ × V²
Substitution:
q = 0.5 × 1.225 × 70²
q = 3001.25 Pa
Result:
Dynamic pressure = 3.00 kPa
Applications
Aircraft performance analysis
Lift and drag calculations
Wind tunnel testing
Pitot-static systems
UAV aerodynamics
Fluid mechanics