Finding Glide Angle of Cessna-182 Plane at 136 km/h

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SUMMARY

The glide angle of a fully loaded Cessna-182 airplane, with a mass of 1280 kg, can be calculated when the aircraft is gliding at a constant speed of 136 km/h and experiencing a drag force of 1300 N. Given that the gravitational acceleration is 9.81 m/s², the glide angle can be determined by analyzing the forces acting on the plane, specifically the balance between the weight component along the glide path and the drag force. The glide angle should be expressed in degrees for clarity in aviation contexts.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and motion.
  • Familiarity with vector components and their applications in flight dynamics.
  • Knowledge of gravitational acceleration (g = 9.81 m/s²).
  • Ability to convert units, specifically from km/h to m/s for calculations.
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  • Calculate the glide angle using trigonometric functions based on the forces acting on the Cessna-182.
  • Research the impact of drag forces on aircraft performance during gliding.
  • Learn about the principles of flight dynamics and how they apply to emergency landing scenarios.
  • Explore the relationship between airspeed, weight, and glide ratio in aviation.
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Aerospace engineers, flight instructors, pilots, and aviation enthusiasts interested in understanding aircraft glide performance and emergency procedures.

yoinka
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A fully loaded Cessna-182 airplane of mass 1280 kg has an engine failure when flying with an airspeed of 136 km/h at an altitude of 2990 m on a calm day. It then glides at a constant glide angle (which is the direction of flight below the horizontal) towards a safe landing at this constant speed of 136 km/h experiencing a drag force of 1300 N that opposes the direction in which the plane is moving.
Please use: g = 9.81 m s-2

How do I find the glide angle of the plane?I know how to find the solution but I don't know what type of quantity to use to solve the problem. :confused:

Thanks!
 
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YOu know how to find the solution, but don't know how to find the glide angle? That IS the solution! What exactly, do you mean? You don't know "what type of quantity". Do you mean what units? For this type of problem I would suggest that the glide angle be in degrees.
 
at this constant speed of 136 km/h experiencing a drag force of 1300 N that opposes the direction in which the plane is moving.
Since the plane is moving at constant velocity, and not decelerating, what force must equal the drag. This force vector (component) must be along the glide angle.
 

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