Problem 2.91 - Problem 2.91 [Difficulty: 3] Given: Data on...

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Problem 2.91 [Difficulty: 3] Given: Data on airliner Find: Sketch of speed versus altitude (M = const) Solution: Data on temperature versus height can be obtained from Table A.3 At 5.5 km the temperature is approximately 252 K The speed of sound is obtained from where k = 1.4 R = 286.9 J/kg · K (Table A.6) c = 318 m/s We also have V = 700 km/hr or V = 194 m/s Hence M = V/c or M = 0.611 To compute V for constant M , we use V = M · c = 0.611 · c At a height of 8 km: V = 677 km/hr NOTE: Realistically, the aiplane will fly to a maximum height of about 10 km! z (km) T (K) c (m/s) V (km/hr) 4 262 325 713 5 259 322 709 5 256 320
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