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Enlarging the fin, all else equal, tends to

  • A.Leave both modes unchanged
  • B.Raise Dutch roll frequency and degrade spiral stability
  • C.Raise Dutch roll frequency and improve spiral stability
  • D.Lower Dutch roll frequency and improve spiral stability

Answer: B

A larger fin raises \( N_\beta \), which raises the Dutch roll frequency and increases the second product in the spiral criterion, degrading spiral stability. It is the mirror image of the dihedral trade, and between them the two changes define the designer's room for manoeuvre: fin volume for directional stiffness, dihedral for spiral stability, and a yaw damper to buy back the Dutch roll damping neither of them supplies. Nothing about a bigger fin lowers the frequency, and it certainly does not leave the modes untouched.

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