Lift Coefficient Calculator

Calculate lift coefficient and forces in aerodynamic applications

Calculate Lift Coefficient

Force perpendicular to the flow direction

Relative velocity between object and fluid

Wing or lifting surface area (planform area)

Density of the fluid medium

Lift Coefficient Results

0.0000
Lift Coefficient (CL)
0.00
Lift Force (N)
0.00
Dynamic Pressure (Pa)
0.000
Dynamic Pressure (kPa)

Formula: CL = 2F/(ρAV²)

Dynamic Pressure: q = ½ρV² = 0.00 Pa

Aerodynamic Analysis

Example: Commercial Aircraft Wing

Problem

Aircraft wing: 100 m² surface area

Flight conditions: 250 m/s airspeed at 10,000 ft altitude

Lift force generated: 800,000 N

Air density at altitude: 0.905 kg/m³

Solution

CL = 2F/(ρAV²)

CL = (2 × 800,000) / (0.905 × 100 × 250²)

CL = 1,600,000 / (0.905 × 100 × 62,500)

CL = 1,600,000 / 5,656,250

CL = 0.283

This is typical for a commercial aircraft in cruise flight.

Typical Lift Coefficients

Cruise Flight0.2 - 0.5
Takeoff/Landing0.8 - 1.2
With Flaps1.2 - 2.0
Maximum (Clean)1.0 - 1.5
STOL Aircraft2.0+

Air Density by Altitude

Sea Level1.225 kg/m³
5,000 ft1.056 kg/m³
10,000 ft0.905 kg/m³
20,000 ft0.653 kg/m³
40,000 ft0.302 kg/m³

Applications

✈️

Aircraft Design

Wing design, performance analysis

🏎️

Automotive

Spoilers, wings, downforce

🌊

Marine

Sails, hydrofoils, keels

Aerodynamics Tips

CL is dimensionless and independent of size

Higher altitude = lower air density

CL varies with angle of attack

Maximum CL limited by stall

Understanding Lift Coefficient

What is Lift Coefficient?

The lift coefficient (CL) is a dimensionless number that relates the lift force generated by an airfoil to the dynamic pressure and wing area. It characterizes the aerodynamic efficiency of a lifting surface and is fundamental in aircraft design and performance analysis.

Key Principles

  • Independent of aircraft size - same for scale models
  • Varies with angle of attack and airfoil shape
  • Maximum value limited by stall conditions
  • Critical for weight-to-power ratio calculations

Lift Coefficient Formula

CL = 2F/(ρAV²)

  • CL: Lift coefficient (dimensionless)
  • F: Lift force (N)
  • ρ: Air density (kg/m³)
  • A: Wing planform area (m²)
  • V: Airspeed (m/s)

Practical Applications

  • • Aircraft performance calculations
  • • Wind tunnel testing analysis
  • • Airfoil comparison and selection
  • • Flight envelope determination
  • • Scaling from model to full-size
  • • Stall speed calculations

Note: CL typically ranges from 0.2-0.5 for cruise flight, up to 1.5-2.0 with high-lift devices (flaps, slats).