Explanation Formula Used: When two sounds of intensity I 1 and I 2 ( w a t t s / c m 3 ) occur, the difference in loudness is D decibels, where: D = 10 log ( I 1 I 2 ) ….. (1) Given: With relation to human hearing ( I 0 = 10 − 16 ) the level of normal conversation is 50 decibels whereas that of rock concert is 110 decibels. Calculations: Now give that, with relation to human hearing ( I 0 = 10 − 16 ) the level of normal conversation is 50 decibels whereas that of rock concert is 110 decibels. Then, the difference of loudness of rock concert and normal conversation is: 110 d B − 50 d B = 60 d B Thus, rock concert is 60 times as loud as normal conversation. Let I n c denotes intensity of normal conversation and I r c denotes intensity of rock concert. Now, by using equation (1) and the given information that with relation to human hearing ( I 0 = 10 − 16 ) the level of normal conversation is 50 decibels, 50 = 10 log ( I n c I 0 ) 50 = 10 log ( I n c 10 − 16 ) 5 = log ( I n c 10 − 16 ) 5 = log 10 ( I n c 10 − 16 ) Now use that, log a x = y if and only if a y = x 10 5 = I n c

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2, Problem 79SP

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rock concert is 60 times as loud as normal conversation but a million times as intense.

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Chapter 2 Solutions