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Banked Turn
This is a steady motion in a horizontal circle with the plane ofsymmetry inclined to the vertical, as shown in Figure 10.10. The direction of motion is longitudinal and there is no side-force.
If ф is the angle of bank and r is the radius of the turn, then:
L cos ф = W
W V2
L sin ф =———-
g r V2
tan ф = —.
gr
If the differences due to the difference in speed at the outer and inner wing tips are ignored, then:
L = W sec ф w sec ф
CL =
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and therefore, as in Figure 10.8, the stalling speed V’S is determined by the intersection of the curves CL V2 versus V with CLmax versus V graph. From the relation:
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it appears that banking increases the stalling speed, and if we treat CLmax as a constant, the increase is in the ratio:
