Banking angle and curvature radius of an airplane

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SUMMARY

The discussion focuses on calculating the minimum curvature radius for an airplane flying at 950 km/h with a maximum banking angle of 40 degrees. The relevant equation for this problem is derived from Newton's second law, specifically F = ma = mv² / r, where 'm' is the mass of the airplane, 'v' is the velocity, and 'r' is the radius of curvature. The challenge lies in understanding how the banking angle influences the forces acting on the airplane during the turn.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of circular motion dynamics
  • Familiarity with trigonometric functions related to angles
  • Concept of centripetal force in aviation
NEXT STEPS
  • Study the relationship between banking angle and centripetal force in aviation
  • Learn how to apply F = ma in the context of circular motion
  • Explore the effects of speed on turning radius in aircraft
  • Investigate the role of lift and weight in banked turns
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Aerospace engineering students, physics enthusiasts, pilots, and anyone interested in the dynamics of aircraft maneuvering.

lu22
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Homework Statement


If a plane is flying level at 950 km/h and the banking angle is not to exceed 40 degrees what is the minimum curvature radius for the turn?

Homework Equations



possibly F = ma = mv2 / r ?

The Attempt at a Solution


no idea where to start on this one, not sure where the angle factors into everything
 
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lu22 said:

Homework Statement


If a plane is flying level at 950 km/h and the banking angle is not to exceed 40 degrees what is the minimum curvature radius for the turn?


Homework Equations



possibly F = ma = mv2 / r ?

The Attempt at a Solution


no idea where to start on this one, not sure where the angle factors into everything
Assume that the force of the air on the plane in the direction perpendicular to the wings does not change when the airplane banks.

AM
 

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