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The Mach angle in a flow at \( M = 2 \) is

  • A.60 degrees
  • B.45 degrees
  • C.26.6 degrees
  • D.30 degrees

Answer: D

The Mach angle satisfies \( \sin\mu = 1/M \), so \( \mu = \arcsin(0.5) = 30 \) degrees. Taking the arcsine of the Mach number instead of its reciprocal is impossible here, since 2 lies outside the domain, which is a useful check on the formula.

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