Page 44 - Understanding Flight
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CH02_Anderson  7/25/01  8:55 AM  Page 31




                                                                                          How Airplanes Fly 31




                                       Zero geometric angel of attack
                      Relative wind                                    Downwash






                                        Zero effective angle of attack
                      Relative wind
                                                                      No downwash

                      Fig. 2.10. Definition of geometric and effective angles of attack.



                      effective angle of attack. Now if one starts with the wing at zero
                      degrees and rotates it both up and down while measuring the lift, the
                      response will be similar to that shown on the graph in Figure 2.11. This
                      is an extremely important result. It shows that the lift of a wing is
                      proportional to the effective angle of attack. This is true for all wings:
                      those of a modern jet, wings in inverted flight, a barn door, or a paper
                      airplane. A similar graph would be found for lift as a function of the
                      geometric angle of attack, but the line would be different for different
                      wings, with only the symmetric wing passing through the origin.
                        As can be seen in Figure 2.11, the relationship between lift
                      and the angle of attack breaks down at the critical angle. At
                                                                                The lift of a wing is proportional
                      this angle the forces become so strong that the air begins to
                                                                                to the angle of attack. This is
                      separate from the wing and the wing loses lift while
                                                                                true for all wings, from a
                      experiencing an increase in drag, a retarding force. At the
                                                                                modern jet to a barn door.
                      critical angle the wing is entering a stall. The subject of stalls
                      will be covered in detail in the next chapter.


                      The Wing as a Scoop for Air

                      Newton’s second law tells us that the lift of a wing is proportional to
                      the amount of air diverted down times the vertical velocity of that air.
                      We have seen that the vertical velocity of the air is proportional to the
                      speed of the wing and to the angle of attack of the wing. We have yet
                      to discuss how the amount of air is regulated. For this we would like
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