Question

Question: Cicadas are loud flying insects that emerge en masse. Imagine you measure the sound level of a single male cicada to be 88.4 dB when your sound meter is 0.617 m from it. Only male cicadas make such loud noises. It is actually possible for cicadas to damage your hearing, you can learn more about how they make noise here. Part 1) What is the intensity of the sound produced by the cicada? I= W/m2 Part 2) Exactly 69 male cicadas swarm in a single tree. They distribute themselves evenly up the trunk of the tree between 1.46 m and 2.96 m above the ground. What intensity of sound would a sound meter at the bottom of the tree detect? I= W/m2 Part 3) What sound level does the sound meter detect at the bottom of the tree? B = dB Chan

Answer 1

The answer for above problem is explained below.

sound produced by Intensity the cicada of the és, I inde) = 10 l 36,4 do a lo lay it wider] 88.4 8.84 (10) I 1012 W/m² - 12 wlm 8.84 -12 w 2 x 10 w/m2 E z (10) H 1669183 x 104 W/m² H

Bars we know that, We know Here, I = 6.9183 x 104 W/m² ri = 0.617m And 82 = x from equation o 6,9183 X104 Wilma = ( x 7 O. 617m ] - I = (0.617m)² x 6.9183 x109 W/m2 २१ z Id = 206337 x 10" (for one cicode] x² And dI = I x dx

2.6337 x 69X10 2 dx >> SI = 2.499 x 69 xay the de » I - 2018 Itine 72.96 0.01817 - 2 Iz [2.96m – 1046m] 1.46 0.01817 - 1 z) I = + [ Tub 9.96 1.46 1.5 I = [0.012113 ) * (0.34709] > ID 4.204 * 153 W/m2 One sound level, B = (4.204 x103 W/m² 1012 w/m² 10 logo = B = 96.2366 dB