What is the peak intensity β in decibels at a distance of 1 m from the firecracker?

Question

What is the peak intensity β in decibels at a distance of 1 m from the firecracker?

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Thành Đạt 3 years 2021-08-11T03:54:26+00:00 2 Answers 42 views 0

Answers ( )

  1. hongcuc2
    0
    2021-08-11T03:56:10+00:00
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    Answer:

    140dB

    Explanation:

    In this problem you will be using the decibel scale to analyze a small firecracker that emits 1200 of peak  power

    In order to find to find the peak intensity in dB we must first determine the intensity in W/m^2 that the  firecracker is producing:

    I=  P/(4πr^{2})

    I= 1200/(4π 1^{2}) =>96W/m^2

     

    now the intensity in decibels can be calculated by using the dB conversion equation

    β= 10log ( I / I_{o} )dB

    I_{o} is a reference intensity in the above formula i.e for sound waves and its value is 10^{-12} W/m^2

    β=10log( \frac{96 W/m^{2} }{10^{-12}W/m^{2} } )dB => 10log(9.6x10^{13} )dB

    β= 140dB

    therefore, at a distance of 1 m from the firecracker the peak intensity β is 140dB

  2. minhkhoi
    0
    2021-08-11T03:56:15+00:00
    Reply

    Answer:

    140 dB

    Explanation:

    β = 10 log (I/I₀)

    I=95 Wm⁻²

    I₀= 10⁻¹² Wm⁻²

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