PHAK · PHAK Chapter 3

Angle of Attack and Lift

Master angle of attack, the lift equation, and why a wing always stalls at the same AOA — not the same airspeed. FAA PHAK Chapter 3 study guide.

CFI's Whiteboard Explanation

Angle of attack is just the angle between your wing's chord line and the air hitting it — and it's the one knob you actually control with the yoke.

Lift depends on AOA, airspeed, air density, and wing area. Slow down, and you need a higher AOA to hold altitude. Push too far past the critical AOA (~16°-18°) and the airflow separates — that's a stall.

The key insight: a wing always stalls at the same AOA, never the same airspeed. That's why you can stall at 120 knots in a steep turn. Recovery? Always reduce AOA first — lower the nose.

Handbook Reference
PHAK Ch 3

3.angle-of-attack-and-lift. Angle of Attack and Lift

Angle of attack (AOA) is the acute angle measured between the chord line of an airfoil and the relative wind. It is one of the most important concepts in aerodynamics because it is the primary variable a pilot controls to change lift in flight. While airspeed, air density, and wing area also influence lift, the pilot directly manages AOA through pitch inputs.

The lift produced by an airfoil is described by the lift equation:

L = CL × ½ρV² × S

Where:

  • L = lift (pounds)
  • CL = coefficient of lift (dimensionless, a function of AOA and airfoil shape)
  • ρ (rho) = air density (slugs/ft³)
  • V = true airspeed (ft/sec)
  • S = wing surface area (ft²)

The term ½ρV² is dynamic pressure (often written q). Notice that CL — and therefore lift at a given airspeed and density — depends almost entirely on AOA. As AOA increases from zero, CL increases in a nearly linear fashion up to the critical angle of attack, typically around 15° to 20° for most general aviation airfoils. Beyond this angle, the smooth airflow over the upper surface separates, CL drops abruptly, and the wing stalls.

How Lift Is Generated

As the wing moves through the air, the airfoil shape and positive AOA deflect the airflow downward. By Newton's third law, the air exerts an equal and opposite reaction on the wing — an upward force. Simultaneously, Bernoulli's principle explains that the accelerated airflow over the curved upper surface produces lower static pressure than the slower flow beneath the wing. The pressure differential, integrated over the wing area, also contributes to lift. Both explanations describe the same phenomenon and are complementary, not contradictory.

Lift acts perpendicular to the relative wind through the center of pressure (CP), which shifts with changes in AOA. As AOA increases on most cambered airfoils, the CP moves forward until the stall, then shifts rearward.

AOA and Airspeed Relationship

In unaccelerated, level flight, lift must equal weight. If the airplane slows down, V² in the lift equation decreases, so CL must increase to maintain the same lift — meaning the pilot must raise the nose to a higher AOA. Conversely, at higher airspeeds the airplane flies at a lower AOA. This is why:

  • Slow flight is flown at high AOA near the stall
  • Cruise flight is flown at a moderate AOA
  • High-speed flight is flown at a low AOA

The critical angle of attack is the same regardless of airspeed, weight, bank angle, or density altitude. A wing always stalls at the same AOA — never the same airspeed. The indicated stall speed varies with weight, load factor, configuration, and power, but the AOA at which separation occurs does not.

Load Factor and Accelerated Stalls

In a level turn or pull-up, load factor (n) increases. To produce the additional lift required (L = n × W), the pilot must increase AOA. In a 60° bank level turn, load factor is 2 G, requiring twice the lift and a higher AOA at the same airspeed. If the pilot pulls hard enough to reach the critical AOA, the wing stalls — an accelerated stall — at an airspeed well above the published 1-G stall speed. The relationship is:

Vs(accel) = Vs × √n

For example, at 2 G, stall speed increases by √2 ≈ 1.41, so a 50-knot 1-G stall speed becomes about 71 knots in a 60° bank.

AOA Indicators

Many modern light aircraft now feature AOA indicators, which display margin to the critical AOA directly rather than relying on indirect cues like airspeed. Because AOA is the true predictor of stall, an AOA indicator gives consistent stall warning regardless of weight, bank, or G-load — making it a powerful tool, especially in the traffic pattern and during maneuvering flight where most loss-of-control accidents occur.

Stall Warning Devices

FAA-certificated airplanes are required to provide stall warning at least 5 knots before the stall, typically through:

  • A stall warning horn triggered by a vane or pressure port that senses the stagnation point shifting as AOA increases
  • A stick shaker in larger or transport-category aircraft

These devices sense AOA, not airspeed.

Practical Takeaways

  • The pilot controls AOA primarily with the elevator (pitch).
  • Excessive AOA — not low airspeed alone — causes a stall.
  • Recovery from any stall begins with reducing AOA by lowering the nose. Adding power supplements but does not replace this action.
  • Coordinated flight at high AOA is critical; uncoordinated flight near the critical AOA can produce a spin.

Understanding AOA as the master variable in lift production is fundamental to safe airmanship across the full envelope, from short-field takeoffs to steep turns to slow flight near the stall.

Oral Exam Questions a DPE Might Ask
Q1What is angle of attack, and how does it differ from pitch attitude?
AOA is the angle between the wing's chord line and the relative wind, while pitch attitude is the angle between the longitudinal axis and the horizon. An airplane can have a low pitch attitude but high AOA — for example, in a descending stall — because relative wind direction changes with flight path.
Q2Why does a wing always stall at the same angle of attack but not the same airspeed?
The critical AOA is a fixed aerodynamic property of the airfoil — when airflow separates, it separates at that angle regardless of conditions. Stall airspeed varies with weight, load factor, bank angle, and configuration, but the AOA at which the stall occurs does not change.
Q3If you're in a 60° level bank, how does stall speed change and why?
Load factor in a 60° level bank is 2 G, so stall speed increases by the square root of 2, or about 41%. The wing must produce twice the lift, which requires a higher AOA at any given airspeed — so the critical AOA is reached at a much higher indicated airspeed.
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Angle of Attack and Lift: PHAK Chapter 3 | GroundScholar