What is the relationship between temperature and mach number?(a) T0=T\(\Big[1+\frac{\gamma-1}{2}M^2\Big]\)(b) T0=T\(\Big[1+\frac{\gamma+1}{2}M^2\Big]\)(c) T0=T\(\Big[1-\frac{\gamma-1}{2}M^2\Big]\)(d) T0=T\(\Big[1-\frac{\gamma+1}{2}M^2\Big]\)This question was posed to me by my school teacher while I was bunking the class.I want to ask this question from Measurement of Mach Number in chapter Atmosphere and Air Data Measurement of Aircraft Performance

What is the relationship between temperature and mach number?(a) T0=T\

1.	What is the relationship between temperature and mach number?(a) T0=T\(\Big[1+\frac{\gamma-1}{2}M^2\Big]\)(b) T0=T\(\Big[1+\frac{\gamma+1}{2}M^2\Big]\)(c) T0=T\(\Big[1-\frac{\gamma-1}{2}M^2\Big]\)(d) T0=T\(\Big[1-\frac{\gamma+1}{2}M^2\Big]\)This question was posed to me by my school teacher while I was bunking the class.I want to ask this question from Measurement of Mach Number in chapter Atmosphere and Air Data Measurement of Aircraft Performance
Answer» Correct option is (a) T0=T\(\Big[1+\frac{\gamma-1}{2}M^2\Big]\) The best explanation: The relationship between temperature and MACH number is T0=T\(\Big[1+\frac{\gamma-1}{2}M^2\Big]\) where T is the temperature at that ALTITUDE, T_0 is the STAGNATION temperature, M is mach number and γ is the ratio of specific heat at CONSTANT pressure to that of specific heat at constant VOLUME.

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