An ambulance with a siren emitting a whine at 1600 Hzovertakes and passes a cycl

Question

An ambulance with a siren emitting a whine at 1600 Hzovertakes and passes a cyclist pedaling a bike at 2.44 m/s. Afterbeing passed, the cyclist hears a frequency of 1590 Hz.
a) How fast is the ambulance moving? b) What was the frequency heard by the cyclist before beingovertaken? An ambulance with a siren emitting a whine at 1600 Hzovertakes and passes a cyclist pedaling a bike at 2.44 m/s. Afterbeing passed, the cyclist hears a frequency of 1590 Hz.
a) How fast is the ambulance moving? b) What was the frequency heard by the cyclist before beingovertaken?

Explanation / Answer

            Given that the frequency of the ambulance is f = 1600 Hz              Thespeed of the cyclist is U0 = 2.44 m/s             The frequency heard by the cyclist is f1 = 1590 Hz ------------------------------------------------------------------------            If the observer and the source are both moving then the newfrequency is                                    f1 = f ( V - Vo) / (V+Vs)                                    1590 Hz = 1600 Hz (343 m/s - 2.44 m/s) / ( 343 m/s + Vs)                             Then we get the velocity of the source Vs =--------- m/s                  The frequaency heard by the cyclist when the both are apporochingeach other                                       f2 = f ( V + Vo) / (V - Vs)                                           = ---------- Hz

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