Aerodynamics Forces Coefficient Calculator

Aerodynamic Lift, Drag, and Moments

Aircraft Aerodynamic Calculator

Calculator 1 — Coefficients from Known Forces

Flight Condition

Air Density, ρ

Velocity, V

Reference Geometry

Reference Area, S

Reference Length, c

Aerodynamic Loads

Lift Force, L

Drag Force, D

Pitching Moment, M

Enter the flight condition, reference geometry, and aerodynamic loads, then click Calculate Coefficients.

Dynamic Pressure

—

q = 0.5 × ρ × V²

Lift Coefficient

—

C_L = L / (q × S)

Drag Coefficient

—

C_D = D / (q × S)

Moment Coefficient

—

C_m = M / (q × S × c)

Use consistent units throughout. Example: density in kg/m³, velocity in m/s, area in m², reference length in m, forces in N, and moment in N·m.

Calculator 2 — Forces from Known Coefficients

Flight Condition

Air Density, ρ

Velocity, V

Reference Geometry

Reference Area, S

Reference Length, c

Aerodynamic Coefficients

Lift Coefficient, C_L

Drag Coefficient, C_D

Moment Coefficient, C_m

Enter the flight condition, reference geometry, and aerodynamic coefficients, then click Calculate Forces.

Dynamic Pressure

—

q = 0.5 × ρ × V²

Lift Force

—

L = C_L × q × S

Drag Force

—

D = C_D × q × S

Pitching Moment

—

M = C_m × q × S × c

Use consistent units throughout. Example: density in kg/m³, velocity in m/s, area in m², reference length in m, and results are returned as force in N and moment in N·m.

The aerodynamic behavior of an aircraft is commonly described using non-dimensional coefficients that relate forces and moments to the flow conditions. These coefficients are based on dynamic pressure, which depends on air density and velocity. The lift and drag forces are obtained by multiplying their respective coefficients by the dynamic pressure and reference area, while the pitching moment is calculated using the moment coefficient along with an additional reference length. Conversely, the coefficients can be derived by normalizing the measured forces and moment with the same dynamic pressure and geometric references, making them independent of scale and suitable for comparison across different flight conditions and aircraft designs.

dynamic pressure

Lift

Drag

Aerodynamic Moment