What is the relation between recovery factor and temperature?(a) Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2](b) Ti=T[1+r\(\frac{\gamma+1}{2}\)M^2](c) Ti=T[1-r\(\frac{\gamma-1}{2}\)M^2](d) Ti=T[1-r\(\frac{\gamma+1}{2}\)M^2]I had been asked this question by my college professor while I was bunking the class.My query is from Measurement of Air Temperature topic in chapter Atmosphere and Air Data Measurement of Aircraft Performance

What is the relation between recovery factor and temperature?(a) Ti=T[

1.	What is the relation between recovery factor and temperature?(a) Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2](b) Ti=T[1+r\(\frac{\gamma+1}{2}\)M^2](c) Ti=T[1-r\(\frac{\gamma-1}{2}\)M^2](d) Ti=T[1-r\(\frac{\gamma+1}{2}\)M^2]I had been asked this question by my college professor while I was bunking the class.My query is from Measurement of Air Temperature topic in chapter Atmosphere and Air Data Measurement of Aircraft Performance
Answer» Correct choice is (a) Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2] Explanation: The relation between RECOVERY FACTOR and TEMPERATURE is Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2] where T is the temperature at that altitude, Ti is indicated TOTAL temperature, r is recovery factor, 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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