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Private Pilot Theory Chapter 3, Section A South Dakota State University Aviation Forces of Flight • Four Forces of Flight – Lift • Upward force created by air flowing over & under the wings • Supports the plane in flight – Weight • Opposes lift • Caused by downward pull of gravity – Thrust • Forward force propelling the plane through the air • Varies with amount of engine power – Drag • Backward force limiting the speed of the plane – Equilibrium • All four forces are in equilibrium during straight-and-level, unaccelerated flight • Unaccelerated flight: plane is maintaining a constant speed South Dakota State University Aviation Forces of Flight • Newton’s Three Laws of Motion – First Law • A body at rest tends to remain at rest, and a body in motion tends to remain moving at the same speed and in the same direction – Second Law • When a body is acted upon by a constant force, its resulting acceleration is inversely proportional to the mass of the body & is directly proportional to the applied force (Force = mass x acceleration) – Third Law • For every action there is an equal & opposite reaction South Dakota State University Aviation Forces of Flight • Bernoulli – Swiss mathematician – Expanded on Newton’s ideas – Bernoulli’s Principle • As the velocity of a fluid (air) increases, its internal pressure decreases • Helps explain how air flows around an airfoil (wing) South Dakota State University Aviation Forces of Flight • Airfoils – Any surface (wing) that provides aerodynamic force when it interacts with a moving stream of air – Airflow affects the pressure on an airfoil – Wing shape • Designed to take advantage of Newton’s & Bernoulli’s laws • Greater curvature on upper portion of the wing • Leading Edge – Part that meets the air first • Upwash – Deflection of airflow up & over the wing • Trailing Edge – Where airflow from upper surface meets airflow from lower surface • Downwash – Deflection of airflow downward behind the wing South Dakota State University Aviation Forces of Flight • Airfoils – Camber • Curvature of an airfoil’s upper & lower surfaces – Relative Wind • Airflow parallel to, & opposite of, the airplane’s flight path – Chord Line • Imaginary line from leading edge to trailing edge of an airfoil – Angle of Attack • Angle between chord line & relative wind – Coefficient of Lift (CL) • Measures lift as it relates to angle of attack • Greater AOA = greater CL...to stall point South Dakota State University Aviation Forces of Flight • Stall – Definition • A rapid decrease in lift caused by the separation of airflow from the wing’s surface brought on by exceeding the critical angle of attack – Critical Angle of Attack • The angle at which a stall will always occur, in a given airplane, regardless of airspeed, flight attitude, or weight • Warning signs of a stall – Less effective flight controls, stall warning horn, slight buffeting of aircraft or controls • Stall Recovery – Decrease the AOA to a point below the Critical AOA (pitch down) South Dakota State University Aviation Forces of Flight • Wing Designs – Factors • Anticipated use of the airplane, cost, etc. – Aspect Ratio • Relationship between length & width of the wing • Helps determine lift/drag information • Higher aspect ratio = less drag per amount of lift & AOA – Wing Area • Total surface area of the wings...must be enough to support the weight of the airplane • Generally: wings produce about 10.5 lbs lift per square foot of wing • Example: 2100-lb plane needs a wing area of 200 square feet South Dakota State University Aviation Forces of Flight • Wing Designs – Planform • Shape of wings when viewed from above or below • Elliptical – Good for slow flying: has less drag – Difficult to build; not very good stall characteristics • Rectangular – Provides better stall characteristics (stalls at wing root first) – Not as efficient as elliptical wing • Tapered – Decrease in drag, increase in lift...better at higher speeds – Tends to stall first closer to the wingtip – Combination of rectangular & tapered is best • Sweptback – Very efficient at high speeds...allows the plane to fly faster without the wing experiencing supersonic airflow – Not very good performance at slow speeds South Dakota State University Aviation Forces of Flight • Wing Designs – Angle of Incidence • Angle between chord line of the wing & longitudinal axis of the airplane • Washout – Slight twist of the wing – Gives wingtip a lower angle of incidence (& AOA) than the wing root – Helps prevent stalling at wingtips first (aileron effectiveness) – Stall Strips • Metal strips attached to leading edge of each wing near fuselage • Disrupt airflow at high angles of attack...wing area behind the strips stall first, before wingtips stall South Dakota State University Aviation Forces of Flight • Controlling Lift – Angle of Attack • Pilot controls AOA • Change in pitch = change in AOA & CL • Increase AOA = increase in lift – Airspeed • Faster airspeed = greater lift • Lift is proportional to the square of the plane’s speed – Plane at 200 knots has 4 times the lift of a plane at 100 knots – If speed is cut in half, lift is ¼ of what it was before – Total Lift • Depends on both airspeed and AOA • Decrease in speed needs an increase in AOA to keep the same amount of lift • Increase in speed needs decrease in AOA South Dakota State University Aviation Forces of Flight – High-Lift Devices • Purpose: to increase efficiency of airflow at low speeds • Most common: flaps • Flaps: increase lifting efficiency of wings, decrease stall speed (changes chord line, increasing AOA) – Configuration: refers to position of landing gear & flaps » Clean: gear & flaps up » Dirty: gear & flaps down – Plain: attached to wing by a hinge; increases camber & changes chord line – Split: hinged to lower part of wing; produces more drag – Slotted: similar to plain flaps; allows air under the wing to flow through a slot – increases speed of airflow over the flap & gives more lift – Fowler: moves both back & down; increases total wing area, camber & chord line – Considerations for Flaps: when using more than half, more drag than lift is produced, reducing efficiency South Dakota State University Aviation Forces of Flight • Weight – Gravity • Acts vertically through the center of the plane (CG) toward center of earth • Varies with equipment, passengers, fuel, etc. • Thrust – Forward-acting force • Propels plane, opposes drag • Thrust = Drag, when in straight-and-level, unaccelerated flight • Drag – Limits forward speed of an airplane – Parasite: caused by any aircraft surface that interferes with smooth airflow around the plane; amount of parasite drag is proportional to the square of the airspeed (double airspeed = quadruple parasite drag) • Form Drag: caused by separation of airflow from the surface of an object; related to size & shape of object • Interference Drag: when currents of airflow meet & interact (wing & gear struts) • Skin Friction Drag: roughness of plane’s surfaces; thin layers of air cling to rough surfaces South Dakota State University Aviation Forces of Flight • Drag – Induced: from airflowing around the wing as it creates lift; high pressure under the wing spirals around to join low pressure above the wing • Wingtip Vortices: deflect airstream downward from the wing (downwash) • Induced drag is inversely proportional to the square of airspeed (if speed decreases by ½, induced drag increases by 4) – Total • Sum of parasite & induced drag • Drag Curve: parasite & induced drag vs. airspeed • L/Dmax: greatest lift/drag ratio (best performance for least drag) • Ground Effect – a decrease of induced drag & increase in lift. • The ground interferes with the air flowing around the wingtips (vortices) & creates a “buffer” under the wings. • This only happens within 1 wingspan of the ground. Can be both good & bad (make you think it wants to fly before it’s actually ready) South Dakota State University Aviation