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11111nata11111 [884]
3 years ago
12

The sound intensity a distance d1 = 15.0 m from a chain saw is 0.260 W/m2. What is the sound intensity a distance d2 = 27.0 m fr

om the chain saw? (Enter your answer in W/m
Physics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer:

0.08024 W/m²

Explanation:

P = Power

d_1 = Distance = 15 m

I_1 = Intensity at 15 m = 0.26 W/m²

d_2 = Distance = 27 m

I_1 = Intensity at 27 m

Sound intensity is given by

I=\frac{P}{4\pi d^2}

\\\Rightarrow I\propto \frac{1}{d^2}

So, we have the relation

\frac{I_1}{I_2}=\frac{d_2^2}{d_1^2}\\\Rightarrow I_2=\frac{d_1^2\times I_1}{d_2^2}\\\Rightarrow I_2=\frac{15^2\times 0.26}{27^2}\\\Rightarrow I_2=0.08024\ W/m^2

The sound intensity at the given distance is 0.08024 W/m²

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