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Vector Resolution

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It is often desirable to replace a given vector by two or more other vectors. This is called vector resolution. The resulting vectors are called component vectors of the original vector and, if added vectorially, they will produce the original vector. For example, if an aircraft is in a steady climb, at an airspeed of 200 kts., and the flight path makes a 30° angle with the horizontal, the groundspeed and rate of climb can be found by vector resolution. The flight path and velocity are shown by vector Va/c in Figure 1.6.

Figure 1.6 Vector of an aircraft in a climb.


Figure 1.7 Vectors of groundspeed and rate of climb.

In Figure 1.7, to resolve the vector Va/c into a component Vh parallel to the horizontal, which will represent the groundspeed, and a vertical component, Vv, which will represent the rate of climb, we simply draw a straight line vertically upward from the horizontal to the tip of the arrow Va/c. This vertical line represents the rate of climb and the horizontal line represents the groundspeed of the aircraft. If the airspeed Va/c is 200 kts. and the climb angle is 30°, mathematically the values are


Flight Theory and Aerodynamics

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