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Dihedral is the upward angle of an aircraft's wings when viewed from the front. It matters because it helps many airplanes naturally resist unwanted rolling after a gust, turn, or sideslip. This self-righting tendency is called roll stability, and it makes an aircraft easier to control.

The idea is central to trainer aircraft, gliders, airliners, and many stable designs.

Key Facts

  • Dihedral angle is the upward wing angle measured from the horizontal when viewed from the front.
  • Positive dihedral produces a stabilizing rolling moment during sideslip.
  • Anhedral is a downward wing angle and usually reduces roll stability or adds roll responsiveness.
  • Rolling moment can be written as L_roll = q S b Cl, where q is dynamic pressure, S is wing area, b is wingspan, and Cl is rolling moment coefficient.
  • Dynamic pressure is q = 1/2 rho v^2.
  • A stable dihedral effect means a sideslip creates a rolling moment that tends to level the wings.

Vocabulary

Dihedral
Dihedral is the upward angle of the wings from the horizontal when an aircraft is viewed from the front.
Anhedral
Anhedral is the downward angle of the wings from the horizontal when an aircraft is viewed from the front.
Sideslip
Sideslip is motion where the aircraft has sideways airflow across it because its nose is not aligned with its path through the air.
Rolling moment
A rolling moment is a torque about the aircraft's nose-to-tail axis that tends to rotate one wing up and the other wing down.
Roll stability
Roll stability is the tendency of an aircraft to resist or correct unwanted banking motion.

Common Mistakes to Avoid

  • Thinking dihedral lifts both wings equally, which is wrong because its stabilizing effect appears mainly during sideslip when the two wings meet the airflow differently.
  • Confusing roll stability with turning ability, which is wrong because a stable aircraft can resist unwanted roll but still needs control inputs to turn.
  • Assuming more dihedral is always better, which is wrong because too much dihedral can make the aircraft overly stable and less responsive to pilot control.
  • Ignoring the vertical tail during sideslip, which is wrong because the tail helps create and control sideslip angles that interact with the wing dihedral effect.

Practice Questions

  1. 1 An aircraft wing has a dihedral angle of 6 degrees on each side. What is the included angle between the left and right wing panels when viewed from the front?
  2. 2 A small aircraft flies at 50 m/s in air with density 1.2 kg/m^3. Calculate the dynamic pressure using q = 1/2 rho v^2.
  3. 3 During a sideslip, the right wing is lower and the sideways airflow comes from the right. Explain why positive dihedral tends to roll the aircraft back toward level flight.