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Three vertical forces act on an airplane when it is flying
Chapter 5, Problem 47P(choose chapter or problem)
Three vertical forces act on an airplane when it is flying at a constant altitude and with a constant velocity. These are the weight of the airplane. an aerodynamic force on the wing of the airplane, and an aerodynamic force on the airplane’s horizontal tail. (The aerodynamic forces are exerted by the surrounding air and are reactions to the forces that the wing and tail exert on the air as the airplane flies through it.) For a particular light airplane with a weight of 6700 N, the center of gravity is 0.30 m in front of the point where the wing’s vertical aerodynamic force acts and 3.66 m in front of the point where the tail’s vertical aerodynamic force acts. Determine the magnitude and direction (upward or downward) of each of the two vertical aero dynamic forces.
Questions & Answers
QUESTION:
Three vertical forces act on an airplane when it is flying at a constant altitude and with a constant velocity. These are the weight of the airplane. an aerodynamic force on the wing of the airplane, and an aerodynamic force on the airplane’s horizontal tail. (The aerodynamic forces are exerted by the surrounding air and are reactions to the forces that the wing and tail exert on the air as the airplane flies through it.) For a particular light airplane with a weight of 6700 N, the center of gravity is 0.30 m in front of the point where the wing’s vertical aerodynamic force acts and 3.66 m in front of the point where the tail’s vertical aerodynamic force acts. Determine the magnitude and direction (upward or downward) of each of the two vertical aero dynamic forces.
ANSWER:Step 1: The vertical forces acting on the airplane are 1. The weight of the airplane 2. The aerodynamic force on the wing of the airplane F (Up) W 3. The aerodynamic force on the airplane’s horizontal tail F (Down) T Weight of the plane W = 6700 N Distance from the center of gravity to the force acting on the wing X = 0.3 m W Distance from the center of gravity to the force acting on the tail X = 3.66 m T