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You are standing on the sidewalk as a police car passes you ata speed of 20 m/s.

ID: 1737295 • Letter: Y

Question

You are standing on the sidewalk as a police car passes you ata speed of 20 m/s. The car's siren has a fixed frequency of 400 Hz.At the same time a second police car is approaching you. The secondcar is going at the same speed and has an identical siren.    A) What frequencies do you hear from eachpolice car?    B) What is the beat frequency, if any,between the two observed frequencies? Show steps and details!!!! You are standing on the sidewalk as a police car passes you ata speed of 20 m/s. The car's siren has a fixed frequency of 400 Hz.At the same time a second police car is approaching you. The secondcar is going at the same speed and has an identical siren.    A) What frequencies do you hear from eachpolice car?    B) What is the beat frequency, if any,between the two observed frequencies? Show steps and details!!!!

Explanation / Answer

                      Given that the speed of the police car is Vs = 20 m/s                       The frequency of the police car is f = 400 Hz              -------------------------------------------------------------------------------------     consider the police car which ispassing the observer then the frequency observed by the personat rest is                                     f1= f [ V / (V + Vs) ]                                        =400 Hz [ 343 m/s / (343 m/s - 20 m/s) ]                                         =----------- Hz                                     f1= f [ V / (V + Vs) ]                                        =400 Hz [ 343 m/s / (343 m/s - 20 m/s) ]                                         =----------- Hz    if the police car moves towards the observerthen the new frequency is                                     f2= f [ V / (V - Vs) ]                                        =400 Hz [ 343 m/s / (343 m/s - 20 m/s) ]                                         =----------- Hz     The beat frequency is f = f1 -f2 = ----------- Hz
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