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The Mach angle of a weak disturbance in supersonic flow is given by

  • A.The inverse sine of the Mach number
  • B.The inverse tangent of the Mach number
  • C.The inverse cosine of the reciprocal of the Mach number
  • D.The inverse sine of the reciprocal of the Mach number

Answer: D

Disturbances travel outward at the speed of sound while being swept downstream at the flow speed, so the envelope they form makes an angle whose sine is the ratio of the two, that is the reciprocal of the Mach number. The angle narrows as the Mach number rises, and it is undefined below Mach one.

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