Problem

Problem

1. (a) What is the intensity of a 60 dB sound? 2. (b) If the sound level is 60 dB close to a speaker that has an area of 120 cm2120 \text{ cm}^2 . What is the acoustic power output of the speaker?
Intuitive explanation

The decibel scale is logarithmic, not linear—each 10 dB increase represents a tenfold jump in intensity. To find the actual intensity from a decibel reading, you'll use the definition of the decibel formula and the reference intensity for sound in air (10−1210^{-12} W/m²). Once you have intensity, power follows naturally from the relationship between power, intensity, and area.

Intuitive explanation

The decibel scale is logarithmic, not linear—each 10 dB increase represents a tenfold jump in intensity. To find the actual intensity from a decibel reading, you'll use the definition of the decibel formula and the reference intensity for sound in air (10−1210^{-12} W/m²). Once you have intensity, power follows naturally from the relationship between power, intensity, and area.

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