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A sound wave has an intensity level of 123.5 dB in air. The density of air...

A sound wave has an intensity level of 123.5 dB in air. The density of air at 20.0°C is ρ = 1.20 kg/m3 (see Table 9.1). The speed of sound in air at 20.0°C is v = 343 m/s.

What maximum force does this wave exert on an eardrum of area 0.590 × 10−4 m2? in in mN

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Answer #1

The intensity is given by the following relation:

where A is the amplitude and is the angular frequency

Thus

putting the values we get = 0.7746

The force exerted is given by

where a is the area of eardrum

Putting the values we find = 0.01881 N

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