8. What is the frequency heard by a person driving at 15.0 m/s toward a blowing factory whistle (800. Hz) if the speed of sound is 340.6

Question

8. What is the frequency heard by a person driving at 15.0 m/s toward a blowing factory whistle (800. Hz) if the speed of sound is 340.6 m/s? (837 Hz) F= (340.6×800)÷(340.6-15)= 836.9 Hz F=836.9 9. From the previous problem, what frequency would he hear after passing the factory if he continues at the same speed? (766 Hz)

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Maris 4 years 2021-08-17T23:19:27+00:00 1 Answers 243 views 0

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  1. Tryphena
    0
    2021-08-17T23:20:57+00:00
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    Answer:

    A) f_o ≈ 836.9 Hz

    B) f ≈ 765 Hz

    Explanation:

    A) To solve this, we will use the formula;

    f_o = (v•f_s)/(v – v_p)

    Where;

    v is speed of sound in air

    f_s is frequency of source

    v_p is the speed of the person moving towards the whistle.

    We are given;

    v = 340.6 m/s

    v_p = 15 m/s

    f_s = 800 Hz

    Thus;

    f_o = (340.6 × 800)/(340.6 – 15)

    f_o ≈ 836.9 Hz

    B) to solve this, let’s first calculate the wavelength from the formula;

    λ = v/f_s

    λ = 340.6/800

    λ = 0.42575 m

    To get the frequency he will hear after passing the factory, we will use the formula;

    f = (v – v_p)/λ

    f = (340.6 – 15)/0.42575

    f ≈ 765 Hz

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