Private Pilot · Unit 2 · 20 min

The Four Forces of Flight

Four forces act on every airplane in flight. This lesson covers what they are, how they balance, and the one trade you will use on every landing.

The four forces

In flight, four forces act on the airplane at all times. Each has a direction, and each has an opponent.

LIFT WEIGHT THRUST DRAG
The four forces in steady, level flight, shown on a Cessna 172. Airplane drawing by Werneuchen (Wikimedia Commons, public domain); arrows after PHAK Figure 5-1.

PHAK Ch 5, "Forces Acting on the Aircraft"

One sentence to memorize

Memorize this In steady, level, unaccelerated flight, lift equals weight and thrust equals drag. The sum of the opposing forces is zero.

"Unaccelerated" means not changing speed or direction. It does not mean slow. "Straight and level" means just what it says: constant direction and constant altitude. Cruising straight ahead at a steady 110 knots? Balanced. Speeding up, slowing down, or turning? Not balanced.

This is Newton's first law at work. With the forces in balance there is no net force, so the airplane keeps its speed and direction until something changes. Flying a maneuver means creating an imbalance on purpose: you add power or raise the nose, the airplane accelerates toward a new speed or path, and then you rebalance the forces to hold it there. Every maneuver in your training is that sequence.

Forces are vectors

Forces are vectors: each one has a magnitude, shown by the length of its arrow, and a direction, shown by the arrow's orientation. Vectors follow three rules:

Force A Force B Resultant
Angle 60° · Resultant 1.73×
Drag the slider (or press Animate) to change the angle between two forces of equal strength. The dashed parallelogram completes the construction, and the solid arrow is the resultant, measured here in multiples of one force's strength. Aligned forces add to twice that strength; at 180 degrees the equal and opposite pair cancels to zero net force.
Force Horizontal component Vertical component
Angle 35° · Horizontal 0.82× · Vertical 0.57×
Drag the slider (or press Animate) to tilt a single force, and the dashed arrows show the two perpendicular components that add up to it, measured in multiples of the force's strength. Tilt the force fully horizontal or fully vertical and one component takes the whole load while the other falls to zero.

Here is why this matters to a pilot. Away from straight-and-level flight, in a climb or a glide, the four forces no longer point neatly up, down, forward, and aft. The balance that still holds is in components: in steady flight the sum of the upward-acting components equals the sum of the downward-acting components, and the sum of the forward-acting components equals the sum of the rearward-acting ones. That component balance is what makes sense of the climb and glide pictures below.

PHAK Ch 5, "Forces Acting on the Aircraft"

A common misconception

Students often assume thrust must exceed drag to stay airborne, or that lift must exceed weight in a climb. Neither is true. If thrust exceeded drag in cruise, the airplane would accelerate, and keep accelerating. Balance means steady; imbalance means change.

Here is the one that trips people up on the knowledge test: in a steady climb, lift is slightly less than weight. The flight path tilts upward, so part of the thrust helps hold the airplane up. Climbing comes from excess power, not excess lift.

PHAK Ch 5, "Forces in Climbs"

An airplane in a stabilized climb with the flight path and relative wind tilted, lift perpendicular to the path, and weight split into a component opposed to lift and a rearward component
Force vectors during a stabilized climb. The flight path tilts up, lift tilts with it, and weight splits into components: one opposing lift, one acting rearward along the path. PHAK Figure 5-2 (FAA).

Descents mirror the climb. In a power-off glide there is no thrust at all, yet the airplane keeps flying: the flight path tilts down, and a component of the airplane's own weight now pulls it forward along the path, doing the job thrust used to do. That trade is what makes every glide, and every engine-out drill you will practice, work.

PHAK Ch 5, "Forces in Descents"

Angle of attack: your control over lift

The angle of attack (AOA) is the angle between the wing's chord line (the straight line from its leading edge to its trailing edge) and the relative wind. It is your most direct control over lift. Pull the nose up and AOA increases, so the wing makes more lift at the same speed. This works up to a limit, the critical angle of attack: the angle beyond which the airflow separates from the wing's upper surface and lift decreases rapidly instead of increasing. When the angle of attack exceeds the critical angle of attack, the wings are said to be stalled. The stall gets its own lesson later in this unit. Both the chord line and the relative wind are defined fully in the next lesson, How a Wing Generates Lift.

Lift depends on both speed and angle of attack, which gives you a trade: fly slower and you need more AOA to make the same lift. That is why the nose sits higher in slow flight than in cruise.

PHAK Ch 4, "Angle of Attack"

Why this matters in the airplane Every landing demonstrates this trade. As you slow down on final approach, you raise the angle of attack bit by bit to keep lift equal to weight. Understand the trade here on the ground, and the sight picture in the flare will make sense in the air.

Check your understanding

Answer from memory, without scrolling back up. Recalling it yourself is what makes it stick.

In steady, level, unaccelerated flight, which statement is true?

The angle of attack is the angle between the wing's chord line and what?

You slow the airplane down but want to hold altitude. What must happen?

Drag always acts in which direction?

Stretch question: in a steady climb, how does lift compare to weight?

With all four forces in balance, the airplane will do what?

In a power-off glide, which force does thrust's old job?

Go deeper (primary source): read the first section of PHAK Chapter 5, "Aerodynamics of Flight", titled "Forces Acting on the Aircraft." It takes about ten minutes, and knowledge test questions are written from it.

Stuck or curious? Ask your instructor anything from this lesson. "Why doesn't lift equal weight in a climb?" is a good question, not a dumb one.