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For subsonic compressible flow, which of these is not required to be measured separately to find the velocity of flow?

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For subsonic compressible flow, which of these is not required to be measured separately to find the velocity of flow?

(a) Stagnation pressure

(b) Static pressure

(c) Mach number

(d) Free-stream of sound

The question was posed to me in an interview.

This key question is from Measurement of Velocity in a Compressible Flow topic in portion Normal Shock Waves of Aerodynamics

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The correct option is (c) Mach number

Easy explanation: Unlike the incompressible flow, for compressible flow, even if it’s subsonic, we need other parameters to calculate speed of flow. With the knowledge of static and stagnation pressure we can calculate Mach number directly, and hence it is not required to be separately measured. We need free-stream velocity of sound to get flow velocity from Mach number.

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