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AOE 3104 Aircraft Performance Problem Sheet 2 (ans) 6. The ...

AOE 3104 Aircraft Performance Problem Sheet 2 (ans) 6. The ...

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12. A high-speed subsonic Boeing 707 airliner is flying at a pressure altitude of 12 km. A Pitottube on the vertical tail measures a pressure of 2.96x10 4 N/m 2 . At what Mach number is theairplane flying?@ 12 km the pressure in a standard atmosphere is 19320 N/m 2<strong>The</strong> pitot tube read stagnation pressure that is P 0 = 29600 N/m 2We can use the compressible form of Bernoulli’s equation:orM = 0.80513. A high-speed aircraft is flying at Mach 0.95 in a standard atmosphere at 30,000ft.Determine: a) True airspeedb) indicated airspeed on a incompressibly calibrated airspeed indicatorc) indicated airspeed on a compressibly calibrated airspeed indicatord) equivalent airspeed@ 30,000 ft, P = 628.50 lbs/ft 2 , T = 411.77 deg R, , = 0.000890 sllugs/ft 3a) <strong>The</strong> true airspeed can be obtained by finding the speed of sound, since the Mach number isgiven.<strong>The</strong> true airspeed is thenb) <strong>The</strong> first thing we need to do is to calculate the total pressure since all airspeed indicators onlyuse P 0 - P. Since at high subsonic speed we need to use the compressible form of Bernoulli’sequation.

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