At the race track, one race car starts its engine with a resulting intensity level of 101.3 dB. Then seven mor

At the race track, one race car starts its engine with a resulting intensity level of 101.3 dB. Then seven more cars start their engines. If the other seven cars produce the same intensity level as the first car, what is the new intensity level with all eight cars running at the starting line?


___dBAt the race track, one race car starts its engine with a resulting intensity level of 101.3 dB. Then seven mor
let I1 be intensity of car-1, then sound intensity level


103.3 = 10 log[I1/Io] ------- (1)


Io = reference intensity of human ear


7 more cars start %26gt;%26gt;sound intensity level is same 101.3 dB


I1 = 7I ------------ (2) I is of each of 7


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all 8 start at raceline (let I-R) %26gt;%26gt;%26gt; let resultant sound intensity level be (x)


x = 10 log[(I1+7I)/Io] = 10 log[(I1+I1)/Io]


x = 10 log[2 I1/Io] = 10[log2 + log I1 - log Io]


x = 10[log2] + 10 log [I1/Io]


x = 10 log 2 + 101.3


x = 3.01 + 101.3 = 104.31


x = 104.31 dB

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