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An elevator with a hinge moment of \( -450 \ \mathrm{N\,m} \) is connected through a gearing that gives \( 0.10 \) metres of surface arc per newton metre. If the effective gearing yields a stick force of \( 45 \ \mathrm{N} \), doubling the speed would give about

  • A.22 N
  • B.180 N
  • C.90 N
  • D.45 N

Answer: B

Hinge moment goes with dynamic pressure and therefore with the square of speed, so doubling the speed quadruples the force:

\[ F = 45 \times 2^{2} = 180 \ \mathrm{N} \]

which is at the edge of what a pilot can hold one-handed for any length of time, and precisely why manual controls run out of acceptability as speed rises. 90 N assumes a linear dependence on speed. 45 N assumes none at all. 22 N has the trend backwards.

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