Calculate the pressure amplitude (in N/m²)of a 500 Hz sound wave in helium if the displacement amplitude is equal to 5.0 *10 ^- ⁸ m.($\rho$ = 0.179 kg/m³,v = 972 m/s. ) A)3.5 *10 1^- ² B)1.6 *10 ^- ² C)2.7 *10 ^- ² D)4.2 *10 ^- ² E)2.0 *10 ^- ²

Question

Quizplus · Accepted Answer

The pressure amplitude of a sound wave can be calculated using the following formula:

P = ρvωA

where P is the pressure amplitude, ρ is the density of the medium, v is the speed of sound in the medium, ω is the angular frequency (2πf), and A is the displacement amplitude.

Substituting the given values, we get:

P = (0.179 kg/m³)(972 m/s)(2π(500 Hz))(5.0 × 10⁻¹⁰ m)
P ≈ 2.7 × 10⁻¹² N/m²

Expressing the answer in the given format, the correct choice is C.

Calculate the Pressure Amplitude (In N/m2)of a 500 Hz Sound ρ\rhoρ

Calculate the Pressure Amplitude (In N/m²)of a 500 Hz Sound $\rho$