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Analysis of Air Transportation Systems Fundamentals of Aircraft ...

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<strong>Air</strong> Compressibility EffectsA mathematical expression to estimate true airspeed (interms <strong>of</strong> true Mach number) from CAS follows:M true 5 ! 0---- 1 0.2 V CAS------------! # % 661.5$& 2 3.5=+– 1# % $& + 10.286– 1(13)where: M true is the true mach number, V CAS is the calibratedairspeed in knots (CAS = IAS) in our analysis, ! 0 is theatmospheric density at sea level, ! is the density at thealtitude the aircraft is flying, and the constants 0.2 and661.5 account for the specific heat <strong>of</strong> the air and the speed<strong>of</strong> sound at sea level (in knots), respectively.Virginia Tech - <strong>Air</strong> <strong>Transportation</strong> <strong>Systems</strong> Laboratory 18

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