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bbfcfm2000
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I am confused about a homework problem and was hoping that maybe somebody here can help...
Homework Problem
When a helicopter is hovering 1090 m directly overhead, an observer on the ground measures a sound intensity I. Assume that sound is radiated uniformly from the helicopter and that ground reflections are negligible. How far (in m) must the helicopter fly in a straight line parallel to the ground before the observer measures a sound intensity of I/4?
According to my textbook, "If the distance increases by a factor of two, the sound intensity decreases by a factor of 2^2=4"
So I figured that to find the answer I simply muiltiply the initial distance (1090m) by 2 so the sound intensity (I) decreases by 4 (I/4). When I do the math, my answer is 2180m but this is not the correct answer.
What might I be doing wrong?
Thanks in advance!
Homework Problem
When a helicopter is hovering 1090 m directly overhead, an observer on the ground measures a sound intensity I. Assume that sound is radiated uniformly from the helicopter and that ground reflections are negligible. How far (in m) must the helicopter fly in a straight line parallel to the ground before the observer measures a sound intensity of I/4?
According to my textbook, "If the distance increases by a factor of two, the sound intensity decreases by a factor of 2^2=4"
So I figured that to find the answer I simply muiltiply the initial distance (1090m) by 2 so the sound intensity (I) decreases by 4 (I/4). When I do the math, my answer is 2180m but this is not the correct answer.
What might I be doing wrong?
Thanks in advance!