An airplane is traveling at a cruising speed of 217 m/s. If the airplane’s engines provide a forward force of 19,530 N, calculate the force of the air resistance (friction) that is acting on the plane.

Respuesta :

Answer:

F = 19530 [N]

Explanation:

In order to solve this problem we must make a free body diagram and observe the forces acting on the plane.

The cruising speed is taken as a constant speed, i.e. there is no acceleration. Therefore, a zero-equal sum of forces on the X-axis can be performed in order to find the air resistance force.

In the attached schema we can see the free body diagram of these forces.

[tex]F_{t} =19530[N]\\F_{t} - F_{A} = 0\\F_{A} = F_{t} \\F_{A} = 19530[N][/tex]

We can say that the moment the cruising velocity develops, the air resistance force is equal to the force developed by the turbines of the plane.

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