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What is the mach number of aircraft flying in air where the pressure ratio is 1.893?(a) 2(b) 1(c) 3(d) 4This question was posed to me in an interview.This intriguing question comes from Measurement of Mach Number in chapter Atmosphere and Air Data Measurement of Aircraft Performance

Answer»

Correct option is (B) 1

To explain: The answer is 1. Given σ=1.893 and we know that γ for air is 1.4.

On SUBSTITUTING the values in the EQUATION \(\frac{p_1}{p_2}=\BIG\{1+\frac{\gamma-1}{2}(M)^2\Big\}^\frac{\gamma}{\gamma-1}\)

We get 1.893=\(\Big\{1+\frac{1.4-1}{2}(M)^2\Big\}^\frac{1.4}{1.4-1}\)

On SOLVING we get M=1.



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