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How do airplanes fly?

A wing pushes air downward and the air pushes the wing up. That lift grows with speed squared and balances the plane's weight in level flight.

How do airplanes fly?

An airplane flies because its wings deflect air downward, and by Newton's third law the air pushes the wings upward. That upward push is called lift. In steady level flight lift exactly balances the plane's weight, and the engines only have to overcome drag.

You can describe the same lift in two equivalent ways: as a change in the momentum of the air, or as lower pressure above the wing than below it. Both are correct; neither needs the wing to be curved on top.

Key fact
Lift is the upward force from a wing turning airflow downward; it grows with the square of speed and must equal weight, L=WL = W, for level flight.

What are the four forces on an airplane?

ForceDirectionProduced by
LiftUp, perpendicular to airflowWings deflecting air downward
WeightDownGravity acting on the plane's mass
ThrustForwardPropellers or jet engines pushing air backward
DragBackward, along airflowAir resistance against the whole plane

Why does a wing make lift?

A wing is tilted slightly upward relative to the oncoming air. The air that meets it is forced to turn downward as it leaves the trailing edge. Pushing air down means giving it downward momentum, and the reaction on the wing is an equal upward force. The curved, rounded top surface helps the air stay attached to the wing while it turns, and that is where the low pressure comes from: the air above is accelerated and its pressure falls, while the pressure below rises.

The "equal transit time" myth
A popular explanation claims that air over the top must travel farther to meet the air below at the back edge. It does not: the air over the top arrives earlier, and flat wings and upside-down flight still make lift. Nothing forces the two streams to meet up again.

How much lift does a wing make?

L=12 ρ v2 S CLL = \tfrac{1}{2}\,\rho\, v^{2}\, S\, C_L
Lift equation · formula card →

Here ρ\rho is the air density (1.2251.225 kg/m³ at sea level), vv the speed through the air, SS the wing area and CLC_L the lift coefficient, which grows with angle of attack. To hold up a 10001000 kg plane with S=16 m2S = 16\ \text{m}^2 and CL=1.2C_L = 1.2, set L=mgL = mg and solve: v=2mg/(ρSCL)≈29v = \sqrt{2mg/(\rho S C_L)} \approx 29 m/s, or about 104104 km/h.

This also answers why planes need a long runway: below that speed the wings cannot make enough lift, and the plane keeps rolling until vv is high enough. On a hot day or at a high-altitude airport the air is less dense, ρ\rho is smaller, and the required speed goes up.

What is a stall?

Raising the angle of attack increases lift, but only up to a limit, typically around 15°15°. Beyond it the smooth airflow separates from the top of the wing, turbulence takes over and lift drops suddenly while drag rises. A stall is about angle, not about engine power: a plane can stall at any speed if the wing is tilted too much.

Frequently asked questions

Can an airplane fly upside down?

Yes. Lift depends on the angle of attack, not on which side of the wing is up. An inverted plane pitches its nose so the wing is still tilted into the wind and keeps producing lift, though less efficiently for a wing designed for upright flight.

Why do airplanes need to go fast to take off?

Because lift grows with v2v^2. Only above a certain speed do the wings make enough lift to equal the plane's weight, so the plane accelerates along the runway until it gets there.

Is Bernoulli's principle wrong?

No. Pressure differences around the wing are real and Bernoulli's principle relates them to speed changes. What is wrong is the equal-transit-time argument often attached to it. Pressure and momentum are two views of the same force.

Why is it harder to take off on a hot day?

Warm air is less dense, so for the same speed the wing gets less lift because ρ\rho in L=12ρv2SCLL = \tfrac12 \rho v^2 S C_L is smaller. The plane needs more speed, and therefore more runway.

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