Question #164227

An ambulance travels down a highway at 120kmh-1, its siren emitting sound of frequency 400Hz. What is the frequency heard by a passenger in a car traveling at 90kmh-1 as the car approaches and

by-passes the ambulance? 



1
Expert's answer
2021-03-08T08:32:57-0500

a) We can find the frequency from the Doppler Shift formula:


fo=fs(v+vovvs),f_o=f_s(\dfrac{v+v_o}{v-v_s}),fo=400 Hz(340 ms+25 ms340 ms33.33 ms)=476 Hz.f_o=400\ Hz\cdot(\dfrac{340\ \dfrac{m}{s}+25\ \dfrac{m}{s}}{340\ \dfrac{m}{s}-33.33\ \dfrac{m}{s}})=476\ Hz.

(b) We can find the frequency from the Doppler Shift formula:


fo=fs(vvov+vs),f_o=f_s(\dfrac{v-v_o}{v+v_s}),fo=400 Hz(340 ms25 ms340 ms+33.33 ms)=337.5 Hz.f_o=400\ Hz\cdot(\dfrac{340\ \dfrac{m}{s}-25\ \dfrac{m}{s}}{340\ \dfrac{m}{s}+33.33\ \dfrac{m}{s}})=337.5\ Hz.

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