What Angle Should a Plane Be Banked to Prevent Lateral Force?

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SUMMARY

The discussion focuses on determining the banking angle of an airplane flying in a horizontal circle to eliminate lateral forces felt by passengers. The relevant physics equation is derived from Newton's laws, specifically using the centripetal acceleration formula a(c) = v² / R. The equation Nx = mg cos(theta) sin(theta) = m v² / R is utilized to solve for the banking angle, theta, ensuring passengers do not experience a sensation of being flung to the side.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal acceleration concepts
  • Basic trigonometry for solving angles
  • Knowledge of forces acting on an airplane in flight
NEXT STEPS
  • Study the derivation of centripetal acceleration in circular motion
  • Learn about the forces acting on an aircraft during a banked turn
  • Explore practical applications of banking angles in aviation
  • Investigate the effects of speed and radius on banking angle calculations
USEFUL FOR

Aerospace engineers, physics students, flight instructors, and anyone interested in the mechanics of airplane flight dynamics.

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Homework Statement



An airplane flies at speed v in a horizontal circle of radius R. At what angle should the plane be banked so that you don't feel like you are getting flung to the side in your seat?

Homework Equations



Newton's equations, a(c) = v^2 / R

The Attempt at a Solution



Nx = mg cos (theta) sin (theta) = m v2 / R

and solve for the angle (correct?)

(this maybe a introductory physics problem, i don't care if it's moved)
 
Last edited:
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