# CLIMB

Concepts we are going to use : Forces at take off and Aviation Power curves

What is the condition to have a climb?

The only condition that provokes an aircraft to climb is an excess of power. Power available (Pa) is greater than Power required ( Pr).

Note : For training reasons we are going to consider  the TAS is constant

When we are climbing The forces acting on the aircraft are :

CLIMB ANGLE

Considering that sine of c (angle of climb)  is  equal to c, for pedagogic reasons .

Angle of climb(c) = ( thrust (T) – Drag (D))/ Weight(W) . C= (T-D)/W.

The greatest angle of climb is when the difference between thrust and drag is maximun, which means it is got when we fly at the minimun drag speed ( In some books it is said when T – D is maximun, because they care about decrease of the T , but for learning and having very clear the concepts I assume T as a constant ).

RATE OF CLIMB

• gamma is the climb angle ( c on the equation above).

As you can see in the picture Rate of climb ( R/c) = TAS ( True air speed) * c, which is the same as  R/c= TAS * (T-D)/W which is equal  to R/c= (Pa – Pr)/W.

Rate of climb will be the greatest when the relation Pa – Pr is the greatest.We get that result when we fly approximately  at the minimum power required speed.

What is the difference between climb angle and rate of climb ?

Rate of climb is a vertical speed ( feet/min) and climb angle is a trajectory.

SPEED OF BEST ANGLE OF CLIMB (Vx)

This speed allows us to gain more altitude with the least horizontal distance. As we said it is the speed that makes the relationship T-D be the greatest. It is almost the same speed as the minimum drag speed, so all factors affecting the drag affects the Vx.

When do we use it ?

To avoid obstacles on the initial climb.

SPEED OF BEST RATE OF CLIMB

This speed allows us to gain more altitude with the least time. As we said it is the speed that makes the relationship Pa-Pr be the greatest. It is almost the same speed as the minimum require power speed, so all factors affecting the require power   affects the Vy.

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