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7 April, 12:29

An ambulance is traveling north at 55.9 m/s, approaching a car that is also traveling north at 28.4 m/s. The ambulance driver hears his siren at a frequency of 983 Hz. The velocity of sound is 343 m/s. At what frequency does the driver of the car hear the ambulance's siren?

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  1. 7 April, 16:01
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    915 Hz

    Explanation:

    The observed frequency from a sound source is given as

    f₀ = f [ (v + v₀) / (v+vₛ) ]

    where

    f₀ = observed frequency of the sound by the observer = ?

    f = actual frequency of the sound wave = 983 Hz

    v = actual velocity of the sound waves = 343 m/s

    vₛ = velocity of the source of the sound waves = 55.9 m/s

    v₀ = velocity of the observer = 28.4 m/s

    f₀ = 983 [ (343+28.4) / (343+55.9) ]

    f₀ = 915.2 Hz = 915 Hz
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