Loudness of Sound. The loudness L, in bels (after Alexander Graham Bell), of a sound of

Chapter 5, Problem 101

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Loudness of Sound. The loudness L, in bels (after Alexander Graham Bell), of a sound of intensity I is defined to be L = log I I0 , where I0 is the minimum intensity detectable by the human ear (such as the tick of a watch at 20 ft under quiet conditions). If a sound is 10 times as intense as another, its loudness is 1 bel greater than that of the other. If a sound is 100 times as intense as another, its loudness is 2 bels greater, and so on. The bel is a large unit, so a subunit, the decibel, is generally used. For L, in decibels, the formula is L = 10 log I I0 . Find the loudness, in decibels, of each sound with the given intensity. SOUND INTENSITY a) Jet engine at 100 ft 1014 I0 b) Loud rock concert 1011.5 I0 c) Train whistle at 500 ft 109 I0 d) Normal conversation 106.5 I0 e) Trombone 1010 I0 f) Loudest sound possible 1019.4 I0 Skil

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