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The decibel level of the noise from a jet aircraft is 130 dB when measured 24.8...

The decibel level of the noise from a jet aircraft is 130 dB when measured 24.8 m from the aircraft. How much sound power does the jet aircraft emit? Answer in units of W. How much sound power would strike the eardrum of an airport worker 24.8 m from the aircraft? Assume the diameter of the worker’s eardrum is 1.7 × 10−2 m. Answer in units of W.

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Answer #1

According to the question we need to find the power in watts.

The intensity of sound is given by the equation

I = I₀ ∙10^(L/10)

threshold of hearing, I₀= 10⁻¹²W/m²

I = (10⁻¹²W/m²) 10^(130/10) = 10W/m²

We have a formula for the power as

       P = I4πx2

       P = (10)4π(24.8 m)2

       P = 77249.024 W =======PART A)

P = I∙A

   = 10W/m² ∙ 1.7×10⁻²m²

   = 0.17 W ======PART B)

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