   Chapter 14, Problem 21P

Chapter
Section
Textbook Problem

A train sounds its horn as it approaches an intersection. The horn can just be heard at a level of 50. dB by an observer 10 km away. (a) What is the average power generated by the horn? (b) What intensity level of the horn’s sound is observed by someone waiting at an intersection 50. m from the train? Treat the horn as a point source and neglect any absorption of sound by the air.

(a)

To determine
The average power generated by the horn

Explanation

Given Info: The intensity level of sound of a horn is 50 dB and reference intensity is 1×1012W/m2 .

Formula for sound intensity of a horn is,

I=I010β10

• I0 is reference intensity,
• I is the intensity of a horn,
• β is the intensity in dB,

Substitute 50 dB for β and 1×1012W/m2 for I0 in the above expression to get I .

I=(1×1012W/m2)1050dB10=1×1012W/m

(b)

To determine
The intensity sound level of horn.

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