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If an aeroplane performs a steady co-ordinated horizontal turn at a TAS of 200 kt and a turn radius of 2000 m, the load factor (n) will be approximately:
  • A
    2.0.
  • B
    1.4.
  • C
    1.1.
  • D
    1.8.

Load factor in a Turn: n = 1 / cos ø (always higher than 1)
Turn Radius = TAS2 ÷ (g x tan ɸ)
Where, ø = bank angle

Let's start by determining the bank angle:

tan ɸ = (200 kt x 0.5144 m/s/kt)2 ÷ (9.81 m/s2 x 2 000 m)
tan ɸ = (102.88 m/s)2 ÷ 19 629 m/s2
tan ɸ = 0.53946
ɸ = tan-1(0.53946) = 28.35º

Now that we know the bank angle, we can determine the load factor:
n = 1 / cos (28.35º)
n = 1.136

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