Lift Equation
\[L=\frac{1}{2}\rho V^{2}SC_{L}\]

Variables

Llift force (N)
rho[ρ]air density (kg/m³)
Vair velocity relative to the wing (m/s)
Sreference wing area (m²)
CLlift coefficient

Description

What is this formula?


The Lift Equation calculates the aerodynamic lift generated by a wing, airfoil, rotor blade, or other lifting surface moving through a fluid.


It is one of the most important equations in aerodynamics and aircraft performance analysis.


When to use it


Use this equation when estimating lift generated by an aircraft wing, UAV, helicopter rotor, wind tunnel model, or aerodynamic surface.


It is widely used in aircraft design, flight performance calculations, aerospace engineering education, and CFD validation.


Example


An aircraft wing has:


Air density = 1.225 kg/m³


Velocity = 70 m/s


Wing area = 16 m²


Lift coefficient = 0.8


Formula:


L = 0.5 × ρ × V² × S × CL


Substitution:


L = 0.5 × 1.225 × 70² × 16 × 0.8


L = 38416 N


Result:


Lift force = 38.4 kN


Applications


Aircraft wing design


UAV performance analysis


Wind tunnel testing


Flight mechanics


Aerodynamic simulations


Aerospace engineering


Note


The lift coefficient is an empirical aerodynamic parameter that depends on airfoil shape, angle of attack, Reynolds number, Mach number, and flow conditions. The equation provides an engineering model of aerodynamic lift and is valid within the operating conditions used to determine the lift coefficient.

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