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The leading Mach line of an expansion fan in a stream at \( M_1 = 2 \) lies at what angle to the oncoming flow?

  • A.26.4 degrees
  • B.30 degrees
  • C.19.5 degrees
  • D.45 degrees

Answer: B

The leading characteristic is a Mach wave in the undisturbed flow, so it lies at the upstream Mach angle \( \arcsin(1/2) = 30 \) degrees. The distractor 19.5 degrees is the Mach angle at Mach 3, which would bound the fan if the flow were expanded to that speed.

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