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Dynamic pressure at \( 60 \ \mathrm{m/s} \) is \( 2205 \ \mathrm{Pa} \) at sea level density. At \( 45 \ \mathrm{m/s} \) it is approximately

  • A.2940 Pa
  • B.1103 Pa
  • C.1240 Pa
  • D.1654 Pa

Answer: C

Correct answer: 1240 Pa

Dynamic pressure varies with the square of speed at constant density:

\[ q = \tfrac{1}{2}\rho V^{2} \qquad \frac{q_2}{q_1} = \left(\frac{V_2}{V_1}\right)^{2} \]

\[ q_2 = 2205 \times \left(\frac{45}{60}\right)^{2} = 2205 \times 0.5625 = 1240\ \mathrm{Pa} \]

The square law is why every aerodynamic control weakens so sharply as speed falls: dropping to three-quarters of the speed leaves only nine-sixteenths of the moment. That is precisely the difficulty at minimum control speed, where the asymmetric thrust to be balanced has not fallen at all.

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