Question #9Can you please answer the below questions? Please do not skip any steps include ALL of your work and double check for accuracy. Thank you. The speaker system at an open-air rock concert forms a ring around the entire circular stage anddelivers 32,000 W of power output. Assume the sound radiates in all directions equally as if itwere generated by an isotropic point source and assume the sound energy is not absorbed by air.(a) At what distance is the sound from the speakers barely audible? Note that youranswer will be far too large since the model we are using for sound level ignores thepower absorbed by the medium (air).mHow does your answer compare to the radius of the Earth?dspeakersľEarth(b) What is the closest distance audience members can be to the speakers if the sound isnot to be painful to their ears?

The variation of intensity with distance r is given as, I=P4πr2 … 1 Here, I is the intensity and P is source power and is equivalent to 32,000 W. We are considering that at about 1×10-12 Wm2 intensity the sound is barely audible and at the intensity of 1 Wm2 after which the sound will be painful to ears. a Define the distance when intensity is 1×10-12 Wm2: 1×10-12=320004×3.14×r2 r=320004×3.14×10-12=2547.7707×1012=50.47×106 m=5.047×107 m Hence, the distance of the sound from the speaker for barely audible is r=5.047×107 m.The radius of the Earth, rE=6371000 m Compare the distance with radius of the Earth as given by the following equation. dspeakersrEarth=5.047×1076371000=7.922×10-7×107=7.922 dspeakersrEarth≈8 Hence, the distance from the speaker approximately 8 times of the radius of the Earth. b Define the closest distance possible as below. First we have to find the distance when intensity is 1 Wm2. Substitute known value into equation 1, we get 1=320004×3.14×r2 r=320004×3.14=2547.7707=50.475 m Hence, the distance of sound from the speaker for not painful to the ears is r=50.475 m.