76.5k views
5 votes
A police car is moving to the left at 34m/sec while its siren is emitting a 600Hz tone. What tone would you hear if you were parked along side the road

User BBoom
by
7.7k points

1 Answer

2 votes

Answer:


545.89\ \text{Hz}

Step-by-step explanation:


v_o = Velocity of observer = 0


v_s = Velocity of source = 34 m/s

v = Speed of sound in air = 343 m/s

f = Emitted frequency = 600 Hz

Doppler effect will be observed


f_o=f((v+v_o)/(v+v_s))\\\Rightarrow f_o=600((343+0)/(343+34))\\\Rightarrow f_o=545.89\ \text{Hz}

The frequency heard will be
545.89\ \text{Hz}.

User LuKenneth
by
7.6k points