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Vectors. A vector is a graphic representation of a quantity that must be described using magnitude and direction. Examples of vector quantities are. Acceleration. Thrust. Lift. Weight. and. Drag. Vector Addition. When more than two forces acting on a point of origin.
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Vectors A vector is a graphic representation of a quantity that must be described using magnitude and direction. Examples of vector quantities are Acceleration Thrust Lift Weight and Drag
Vector Addition When more than two forces acting on a point of origin Establish a point that at which all forces are considered to be concentrated A B D C
Resultant From the point of origin, draw a vector corresponding to the magnitude and direction of one of the forces. D A C From the head of this vector draw another vector showing magnitude and direction of another of the forces. B
D The resultant will be the same regardless which order the vectors are added. C A Resultant B
Parallelogram Used to represent solutions when only two forces are acting on an object. Lift and drag vectors on an airfoil are good examples of the parallelogram method of vector solution
From point of origin, draw vector parallel to reference plane Total Aerodynamic Force (TAF) Draw second vector at appropriate angle to first vector Lift Complete parallelogram by drawing opposite sides parallel to known sides Draw a line from the origin of the two vectors to the opposite corner of the parallelogram Drag The length of the line represents the magnitude of the vector in the direction indicated
Resultant Triangular Solutions Often used to solve navigation problems From a point of origin, draw a vector corresponding to the direction and magnitude of one of the forces. From the head of this vector, draw the other vector corresponding to the direction and magnitude of the other force. From the point of origin, draw the resultant vector to the head of the last force. Track Wind Course
Resultant Example #2 100 KIAS Point A toward Point B Wind (20 kts) 45° RT crosswind Resultant Track (90 NM) A B Desired Track (100 NM)
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