Billy Bob Bubba Hickman drove out into his field to feed his cows. One cow start
ID: 1619088 • Letter: B
Question
Billy Bob Bubba Hickman drove out into his field to feed his cows. One cow starts to moo, and Bubba hears the sound as 87.3 dB level. Then four more cows started mooing, making a total of five cows mooing. What is the new decibel level of sound that Bubba hears? (Assume that all cattle are the same distance from Bubba and all moo with the same volume.)
Billy Bob Bubba Hickman drove out into his field to feed his cows. One cow starts to moo, and Bubba hears the sound as 87.3 dB level. Then four more cows started mooing, making a total of five cows mooing. What is the new decibel level of sound that Bubba hears? (Assume that all cattle are the same distance from Bubba and all moo with the same volume.)Explanation / Answer
Convert 87.3 dB to W/m2
I (in dB) = 10log(I/Io)
Io = 10-12 W/m2
so, 8.73 = log(I/10-12)
take antilog on both sides
108.73 = I/10-12
=> I = 5.37032 x 10-4 W/m2
so, because of 5 cows, this will now be: I' = 5I = 5 x 5.37032 x 10-4 = 2.68516 x 10-3 W/m2
convert this in dB
so, I' (in dB) = 10log(I'/Io ) = 94.2897 dB.
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