Question

A recording engineer works in a soundproofed room that is $44.0 \mathrm{~dB}$ quieter than the outside. If the sound intensity in the room is $1.20 \times 10^{-10} \mathrm{~W} / \mathrm{m}^{2}$, what is the intensity outside?

Name: Problem 66, Chapter 16: Physics
Uploaded: 2021-05-16T02:51:14-08:00
Duration: 5 min
Channel: Satpal Satpal
Description: A recording engineer works in a soundproofed room that is 44.0 dB quieter than the outside. If the sound intensity in the room is 1.20 ×10^-10 W / m^2, what is the intensity outside?

    A recording engineer works in a soundproofed room that is $44.0 \mathrm{~dB}$ quieter than the outside. If the sound intensity in the room is $1.20 \times 10^{-10} \mathrm{~W} / \mathrm{m}^{2}$, what is the intensity outside?

Physics

John D. Cutnell,… 8th Edition

Chapter 16, Problem 66

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Solved by Expert Satpal Satpal

05/16/2021

Step 1

0 dB) and the intensity inside the room (I1 = 1.20 * 10^(-10) W/m²). We want to find the intensity outside the room (I2). We can rearrange the formula to solve for I2: I2 = I1 * 10^(ΔdB/10) Show more…

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A recording engineer works in a soundproofed room that is $44.0 \mathrm{~dB}$ quieter than the outside. If the sound intensity in the room is $1.20 \times 10^{-10} \mathrm{~W} / \mathrm{m}^{2}$, what is the intensity outside?

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Key Concepts

Relationship between Decibels and Sound Intensity

The connection between decibels and sound intensity is formalized through the logarithmic equation, ?dB = 10 log(I?/I?), where a difference in decibel levels corresponds to a multiplicative change in sound intensity. This relationship is central to understanding how changes in measured decibel values reflect underlying changes in the physics of sound energy.

Decibel Scale

The decibel (dB) scale is a logarithmic representation used to describe ratios of power or intensity, including sound intensity. It compresses large ranges of values into a more manageable scale, making it easier to compare and describe differences in sound levels.

Sound Intensity

Sound intensity refers to the power per unit area carried by a sound wave, measured in watts per square meter (W/m²). It quantifies how much sound energy passes through a given area and is a key parameter in acoustics for determining the loudness of a sound source.

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