Ground School
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  1. The short version
  2. Torque reaction
  3. Spiraling slipstream
  4. P-factor
  5. Gyroscopic precession
  6. In the airplane
  7. Test yourself
  8. Sources

Study

Left-turning tendencies

Our airplanes' propellers turn clockwise as seen from the cockpit. That one fact is why the airplane wants to turn left at high power and low airspeed, and why you need right rudder on the takeoff roll and in the climb.

The short version

TendencyWhat causes itStrongest when
Torque reactionThe engine turns the propeller clockwise, so the propeller turns the airplane the other wayHigh power, low airspeed
Spiraling slipstreamThe propeller's slipstream wraps around the fuselage and hits the left side of the vertical finHigh power, low airspeed
P-factorThe descending blade on the right takes a bigger bite of air than the rising blade on the leftHigh power, high angle of attack
Gyroscopic precessionThe spinning propeller is a gyroscope, so pitching or yawing it produces a reaction 90° laterQuick pitch or yaw changes, mostly in tailwheel airplanes

Put together, the rule of thumb is simple: the more power, the slower the airspeed, and the higher the angle of attack, the more right rudder you need. The airplane's designers offset most of it for cruise, which is why you hardly feel it in level flight.

Torque reaction

For every action there's an equal and opposite reaction. The engine spins the propeller clockwise, so the propeller pushes back on the engine and tries to roll the airplane to the left, around its longitudinal axis.

Propeller turns clockwise Left wing pushed down Right wing up Seen from behind, the way you see it from the cockpit
The propeller's reaction rolls the airplane left.

On the takeoff roll, the same reaction presses the left main wheel into the runway harder than the right. That adds friction on the left side and pulls the nose left. In flight, designers offset torque for cruise power with things like aileron trim tabs and how the wings and engine are rigged. At full power and low airspeed, that built-in correction isn't enough, and you hold it off with the controls.

Spiraling slipstream

The propeller doesn't just push air straight back. It throws it backward in a corkscrew that wraps around the fuselage in the same direction the propeller turns. On its way back, the spiral strikes the left side of the vertical fin, which pushes the tail right and yaws the nose left. The handbook calls this the corkscrew effect.

Nose yaws left Slipstream hits the left side of the fin Top view
At high power and low airspeed the spiral is tight and hits the tail hard. At cruise speed it stretches out and has much less effect.

P-factor

P-factor, or asymmetric loading, shows up when the airplane flies at a high angle of attack, like in a climb or slow flight. The propeller disc is tilted nose-up into the relative wind, so the blade coming down on the right side meets the air at a greater angle of attack than the blade going up on the left. The descending blade takes the bigger bite and makes more thrust. That moves the center of thrust to the right of the propeller hub, and the nose yaws left.

Ascending blade:smaller bite, less thrust Descending blade:bigger bite, more thrust Top view, nose high Center of thrust moves right, nose yaws left
In level cruise the angle of attack is low, both blades bite about equally, and P-factor nearly disappears.

Gyroscopic precession

A spinning propeller is a gyroscope. When something tilts its plane of rotation, the reaction doesn't show up where the force was applied. It shows up 90° later, in the direction the propeller is turning.

Force applied here Felt here, 90° later in the direction of rotation Propeller disc seen from behind, turning clockwise
Pitching the nose down pushes the top of the disc forward. The reaction appears at the right side, which moves forward, so the nose yaws left.
You do thisPrecession does this
Pitch the nose downYaws the nose left
Pitch the nose upYaws the nose right
Yaw the nose leftPitches the nose up
Yaw the nose rightPitches the nose down

You'll feel it most in a tailwheel airplane when you raise the tail on the takeoff roll: the nose pitches down and swings left. In our tricycle-gear trainers the pitch changes are gentle, so precession is small.

In the airplane

Takeoff roll
Full power at low airspeed. Torque and the spiraling slipstream pull left, so add right rudder as the airplane accelerates and keep it on the centerline.
Climb
High power, high angle of attack, and slower airspeed: all four are working. Hold right rudder and keep the ball centered. If the nose keeps drifting left in the climb, you need more right rudder, not more aileron.
Slow flight and power-on stalls
The angle of attack is highest here, so P-factor is at its strongest. Expect to hold a lot of right rudder, and keep the ball centered so the airplane doesn't stall in a skid.
Cruise
The airplane is rigged for this. You'll need little or no rudder.
Reducing power
The left-turning forces fade, so ease off the right rudder. At idle in a descent you may need a touch of left rudder.
Go-around
Full power, slow, nose coming up: the left turn arrives all at once. Be ready with right rudder as you add power.

Fix yaw with rudder. Using aileron to stop the nose from swinging left just cross-controls the airplane. "Step on the ball": if the ball in the inclinometer is off to the right, add right rudder.

See which way the propeller turns on the engine page, with the propeller turned on.

Test yourself

Name the four left-turning tendencies.

Torque reaction, the spiraling slipstream (corkscrew effect), P-factor (asymmetric loading), and gyroscopic precession.

Which way does the propeller turn, seen from the cockpit, and why does that matter?

Clockwise. Every one of the four tendencies comes from that direction of rotation, and they all push the nose left.

You're climbing at Vy with full power. Which tendencies are the biggest, and what do you do?

P-factor (high angle of attack) and the spiraling slipstream (high power, low airspeed), with torque adding to it. Hold right rudder and keep the ball centered.

Why does the airplane pull left on the takeoff roll?

Torque presses the left wheel down harder, adding friction on that side, and the spiraling slipstream hits the left side of the fin. In a tailwheel airplane, P-factor (tail down, high angle of attack) and precession (raising the tail) add to it.

Where does P-factor move the center of thrust, and why?

To the right of the hub. At a high angle of attack the descending blade on the right meets the air at a greater angle and makes more thrust than the ascending blade on the left.

A tailwheel pilot raises the tail on the takeoff roll. Which tendency kicks in, and which way?

Gyroscopic precession. Pitching the propeller disc nose-down acts 90° later in the direction of rotation, so the nose yaws left.

Why don't you need much rudder in cruise?

The angle of attack is low, the airspeed is high, and the airplane is rigged to cancel the left-turning forces at cruise power.

You pull the power back to start a descent. What happens to the rudder you need?

The left-turning forces drop off, so you need less right rudder. At idle you may need a little left rudder to keep the ball centered.

Sources