If the intensity level of one trombone is 70 dB, calculate a reasonable estimate for the intensity level of 76 trombones all playing simulta

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If the intensity level of one trombone is 70 dB, calculate a reasonable estimate for the intensity level of 76 trombones all playing simultaneously in the same place

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Thu Cúc 5 years 2021-08-28T16:19:28+00:00 1 Answers 26 views 0

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  1. Eirian
    0
    2021-08-28T16:20:33+00:00
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    Answer:

     β₂ = 88.8 dβ

    Explanation:

    The intensity of the sound is

            β = 10 log (I / I₀)

    The sensitivity threshold (I₀) for humans is 1 10⁻¹² W / m²

           I = I₀  10^{\beta /10}

           I = 10⁻¹² 10^{70/10}  

           I = 1 10⁻⁵ W / m²

    The total intensity for the 76 trombones is

             I_total = n I

             I_total = 76 1 10⁻⁵

             I_total = 76 10⁻⁵ W / m²

    Let’s find the sound level

           β₂ = 10 log (76 10⁻⁵ / 10⁻¹²)

           β₂ = 88.8 dβ

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