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Chapter 17: Q4CQ (page 628)

A community is concerned about a plan to bring train service to their downtown from the town’s outskirts. The current sound intensity level, even though the rail yard is blocks away, is 70 dB downtown. The mayor assures the public that there will be a difference of only 30 dB in sound in the downtown area. Should the townspeople be concerned? Why?

Short Answer

Expert verified

Yes, People should be considered because sound intensity(loudness) will be very high in downtown.

Step by step solution

01

Relation between sound intensity and sound intensity level difference

The relation between sound intensity and sound intensity level difference is given by

β2-β1=10log10l2l1

Here β2-β1is the sound intensity level difference in dB and l2is the intensity of sound when train is brought to downtown and l1is the intensity when the train is at outskirts.

02

Real change in intensities

β2-β1=30dB30=10log10l2l1l2l1=103l2=103l1

03

Conclusion

We can see that the intensity of sound in downtown will be a thousand times greater when train will reach downtown than that when it is on the outskirts of the city. That’s why People should be considered.

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