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156.

Problem 20.55 (RHK)

We have to find the frequency of a 15.8-kHz whine of the turbine in the jet engines of an aircraft moving with speed heard by the pilot of a second aircraft which is trying to overtake the first at a speed of .

Solution:             Click For PDF Version

Speed of the observer moving towards the source of sound (second aircraft) is

Speed of the source of sound (first aircraft) is

Speed of sound is

The frequency, , of the whine of the first aircraft observed by the second aircraft will be given by the Doppler shift relation

Therefore,