The siren of an ambulance has a frequency f=500 Hz. A pedestrian standing on a sidewalk listens to this siren as the ambulance passes by at a speed of 65 mph. The speed of sound in air is 330 m/s.
a) Calculate the total shift in frequency detected by the pedestrian as the ambulance passes.
given,
frequency of ambulance,f = 500 Hz
velocity of ambulance, v_a = 65 mph = 65*(1600 meters)/(3600 seconds) = 28.889 m/s
velocity of air, v = 330 m/s
velocity of pedestrian, v_p = 0
We know that,
Total shift in frequency, f = f1-f2 = 548-459.75 = 88.25 HZ
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