Calculate Bank Angle for Airplane Circling Airport

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SUMMARY

The discussion focuses on calculating the bank angle for an airplane circling an airport with a radius of 2300 meters at a speed of 355 km/h. The key formula for determining the bank angle is derived from the equation tan-1((v2)/(gr)), where 'v' is the velocity and 'g' is the acceleration due to gravity. The objective is to find the angle that prevents the airplane from slipping sideways, ensuring that the horizontal component of lift acts as the centripetal force required to maintain a constant radius during the turn.

PREREQUISITES
  • Understanding of centripetal force and its relation to circular motion
  • Familiarity with the concepts of lift and banking in aviation
  • Basic knowledge of trigonometric functions, particularly tangent
  • Knowledge of the relationship between speed, radius, and gravitational force
NEXT STEPS
  • Calculate the bank angle using the formula tan-1((v2)/(gr)) for the given parameters
  • Explore the effects of varying speed on the required bank angle
  • Investigate the role of lift in maintaining circular motion for different aircraft types
  • Study the implications of banking angles on passenger comfort and aircraft performance
USEFUL FOR

Aerospace engineers, flight instructors, pilots, and aviation students interested in understanding the dynamics of aircraft maneuvering during turns.

MJC8719
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As your plane circles an airport, it moves in a horizontal circle of radius 2300 m with a speed of 355 km/h. If the lift of the airplane's wings is perpendicular to the wings, at what angle should the plane be banked so that it doesn't tend to slip sideways

So I understand that the equation for determing the angle for banking is usually:

tan-1 ((v2)/gr)* would give me an angle...

What i do not understand about this problem is what exactly does it mean so that the plan will not turn sideways...do i need to set the above equation equal to something??
 
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I think it just means at what angle must the plane bank to keep the radius of the circle constant, at the speed given (so the horizontal component of the lift is the central force keeping the plane in the circle).
 

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