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G. CLIMB
1. FLIGHT MECHANICS
1.1. Definitions
The following Figure (G1) shows the different forces applied on an aircraft in
climb.
. The angle of attack (α
) represents the angle between the aircraft axis and the aerodynamic axis (speed vector axis tangent to the flight path).
. The climb gradient (γ
) represents the angle between the horizontal axis and the aerodynamic axis.
. The aircraft attitude (θ
) represents the angle between the aircraft axis and the horizontal axis (in a ground reference system).
.
The rate of climb (RC) represents the vertical component of the aircraft’s speed. It is positive and expressed in feet per minute.
1.2. Climb Equations
During climb at constant speed, the balance of forces is reached. Along the aerodynamic axis, this balance can be expressed as :
(1) Thrust cosα= Drag + Weight sinγ
1 In order to simplify, the thrust vector is represented parallel to the aircraft longitudinal axis.
The balance along the vertical axis, becomes :
(2) Lift = Weight cosγ
1.2.1. Climb Gradient (γ
)
The climb gradient (γ) and the angle of attack (α) are usually small enough so that :
sinγ≈ tanγ≈γ (in radian) cosγ≈ 1 and cosα≈ 1
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