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The pilot of the fighter jet turns by banking the wings such that the lift of the wings has a component in
the direction of the centre of the turn. The pilot wishes to turn the jet in a tight radius of 960.0 m while
maintaining a constant circular speed of 1440 km/h. Determine the angle of bank needed, measured from
the vertical.

Answer :

onyebuchinnaji

The angle of bank needed, measured from the vertical is 86.6⁰.

Banking angle of the circular path

The angle of bank needed, measured from the vertical is calculated as follows;

v = √(rg tanθ)

where;

  • v is the speed = 1440 km/h = 400 m/s
  • r is radius of the curve = 960 m
  • g is acceleration due to gravity
  • θ is the banking angle

400² = (960 x 9.8 x tanθ)

tanθ = 400²(960 x 9.8)

tanθ = 17

θ  = arc tan(17)

θ  = 86.6⁰

Thus, the angle of bank needed, measured from the vertical is 86.6⁰.

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