How is the equation of mach number derived? – physics.stackexchange.com

How is the equation of mach number derived? – physics.stackexchange.com

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Wikipedia states that for a pitot-static tachometer, the mach number for subsonic flow equates to $$M = \sqrt{5\left[\left(\frac{p_t}{p_s}\right)^\frac{2}{7}-1\right]}.$$ How did they get to that ...

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