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What is the indicated temperature of an aircraft having mach number 2 and when temperature and recovery factor are 300K and 2?(a) 780K(b) 128K(c) 345K(d) 435KI have been asked this question in an internship interview.The doubt is from Measurement of Air Temperature topic in section Atmosphere and Air Data Measurement of Aircraft Performance

Answer»

The correct choice is (a) 780K

The best EXPLANATION: The answer is 780K. Given r=2, T=300K, M=2 and we know that γ for air is 1.4. From the formula Ti=T[1+r\(\FRAC{\gamma-1}{2}\)M^2].

On SUBSTITUTING the values we get Ti=300[1+2\(\frac{1.4-1}{2}\)2^2]

On solving above equation we get Ti=780K.



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