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Section 13.1

Theory of Flight

Aeroplane aerodynamics and flight controls, high-speed flight, and rotary-wing (helicopter) aerodynamics.

Notes

Theory of flight, summary notes

Main ideas
  • FIXED-WING: lift comes from a wing at an angle of attack (L = C_L·½ρV²·S); the primary controls act about three axes, ailerons roll, elevator pitches, rudder yaws, and the stall is an angle-of-attack event at any speed.
  • HIGH-SPEED flight brings compressibility: the critical Mach number is where the local airflow first reaches Mach 1; beyond it shock waves form and drag rises sharply. Swept wings raise the critical Mach and delay the effect.
  • ROTARY-WING: a helicopter rotor is a set of rotating wings. The COLLECTIVE changes the pitch of ALL blades together to vary total rotor thrust (climb/descend); the CYCLIC tilts the rotor disc to move the aircraft horizontally.
  • The main rotor's torque reaction tends to spin the fuselage the opposite way; a TAIL ROTOR (or NOTAR/fenestron) provides anti-torque and yaw (directional) control.
  • In forward flight the advancing blade sees more airflow than the retreating one, 'dissymmetry of lift', corrected by blade FLAPPING; retreating-blade stall ultimately limits a helicopter's forward speed.
  • ⚠ Exam trap: on a helicopter the COLLECTIVE changes all blades' pitch together (total lift) while the CYCLIC tilts the disc for direction; the TAIL ROTOR counters main-rotor torque and gives yaw control.
Key formulas
Lift
L = C_L·½·ρ·V²·S
Solved examples
  1. A helicopter pilot raises the collective lever. What happens to the rotor, and what secondary effect must be countered?

    Raising the collective increases the pitch of all main-rotor blades simultaneously, increasing total rotor thrust so the helicopter climbs (with a matching power/RPM adjustment). The extra power increases the torque reaction trying to yaw the fuselage, so more anti-torque (tail-rotor) thrust, via the pedals, is needed to hold heading.

Simulation

Lift, angle of attack & the stall

Lift, Angle of Attack & the StallFull screen ↗
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Simulation

The four forces in flight

The Four Forces in FlightFull screen ↗
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Mind map

Theory of flight concept map

Theory of Flight

Quiz

Theory of flight quiz

Theory of Flight, quiz

Ref 13.18 of 15Pass 75%
  1. 1. On a helicopter, the collective control changes:

    The pitch of all rotor blades together (total lift)
    The pitch of one blade only
    The tail-rotor speed only
  2. 2. The cyclic control:

    Tilts the rotor disc to move the helicopter horizontally
    Changes engine RPM
    Feathers the tail rotor
  3. 3. The tail rotor provides:

    Anti-torque and yaw control
    Forward thrust
    Main lift
  4. 4. 'Dissymmetry of lift' in forward flight is caused by:

    The advancing blade seeing more airflow than the retreating blade
    Engine vibration transmitted through the main transmission and into the rotor head in forward flight
    Tail-rotor drag rising with forward speed and yawing the aircraft progressively out of balance
  5. 5. A helicopter's maximum forward speed is ultimately limited by:

    Retreating-blade stall
    Tail-rotor failure
    Fuel flow
  6. 6. Fixed-wing ailerons control:

    Roll (longitudinal axis)
    Pitch
    Yaw
  7. 7. A stall occurs when the wing exceeds its:

    Critical angle of attack
    Maximum altitude
    Never-exceed speed
  8. 8. The critical Mach number is where:

    Airflow first reaches Mach 1 locally over the wing
    The whole aircraft is supersonic
    The engine surges