Calculate the following:

Question

Exercise1: For a frequency of 4,000Hz with an amplitude of 2×10⁻⁷ m and 4×10⁻⁷ m in air calculate the intensity. The density of air at 20°C is 1.2 kg/m³ and the speed of propagation in air is 343m/s at 20°C. Calculate the sound intensity.

Answer 1

According to principles of sound wave propagation in air

the intensity of sound wave is related to its amplitude by relation

I = [P_max]²/2ρv Here v speed of sound, ρ density of medium, and P_max is amplitude

Given: P_max = 2 x 10^-7, v = 343 m/s, and ρ = 1.2 kg/m³ Substituting values

We get I = [2 x 10^-7]²/(1.2 x 343) = 9.718 x 10^-17 W/m²

For P_max = 4 x 10^-7_, I = 1.944 x 10^-16 W/m²

For more information please visit webpage

https://opentextbc.ca/universityphysicsv1openstax/chapter/17-3-sound-intensity/

I hope this helps.

Shailesh K.