Question #161981

An ambulance moving at 42m/s sounds its siren whose frequency is 450 Hz. A car is moving in the same direction as the ambulance at 25m/s. What frequency does a person in the car hear;

(a) as the ambulance approached the car?

(b) After the ambulance passes the the car?

[Take v= 340m/s]


1
Expert's answer
2021-02-22T10:28:49-0500

(a)

fo=fs(vvovvs),f_o=f_s(\dfrac{v-v_o}{v-v_s}),fo=450 Hz(340 ms25 ms340 ms42 ms)=476 Hz.f_o=450\ Hz\cdot(\dfrac{340\ \dfrac{m}{s}-25\ \dfrac{m}{s}}{340\ \dfrac{m}{s}-42\ \dfrac{m}{s}})=476\ Hz.

(b)

fo=fs(v+vov+vs),f_o=f_s(\dfrac{v+v_o}{v+v_s}),fo=450 Hz(340 ms+25 ms340 ms+42 ms)=430 Hz.f_o=450\ Hz\cdot(\dfrac{340\ \dfrac{m}{s}+25\ \dfrac{m}{s}}{340\ \dfrac{m}{s}+42\ \dfrac{m}{s}})=430\ Hz.

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