Question

What is the intensity of a 70-db sound? the threshold of human hearing is 1.0 × 10 -12 w/m 2.

Answer 1

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

How to determine the intensity of a 70-dB sound

The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:

L = 10 · ㏒ (I/I')

Where:

• I - Intensity, in watts per cubic meter.
• I' - Sound intensity reference, in watts per cubic meter.

If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:

70 = 10 · ㏒ (I/10⁻¹²)

10⁷ = l/10⁻¹²

I = 10⁻⁵ W/m²

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

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