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March 25, 2017

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The cabin noise level of the new Airbus 380 is 5 decibels lower than that of a 747 Jumbo Jet. By what factor does the noise intensity decrease?

  • physics - ,

    db = 10log(p2/p1) = -5.

    The negative sign means p2 is less than p1 and the ratio is less yhan 1.

    10log(p2/p1) = -5,
    Divide both sides by 10:
    log(p2/p1) = -0.5,
    p2/p1 = 10^-0.5 = 0.316.

  • physics - ,

    db = 10log(p2/p1) = 5.
    10log(p2/p1) = 5,
    Divide both sides by 10:
    log(p2/p1) = 0.5,
    p2/p1 = 10^0.5 = 3.16.

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