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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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Presentation Transcript
slide1

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

slide2

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

slide3

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

slide4

D

The resultant will be the same

regardless which order the

vectors are added.

C

A

Resultant

B

slide5

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

slide6

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

slide7

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

slide8

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)

slide9

ZZZZZZZZZ

Questions ?