(20%) Problem 6: A periodic vibration at x = 0, r=0 displaces air molecules along the...

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(20%) Problem 6: A periodic vibration at x = 0, r=0 displaces air molecules along the x direction by max-1.1E-05 m. The motion produces a sound wave that travels at a velocity of v=330 m/s with a frequency of f= 25 Hz. Take the density of air as p₁ - 1.20 kg/m³ 14% Part (a) Calculate the wavelength of the sound wave, in meters 1-132 Correct! 14% Part (b) Calculate the wavenumber of the sound, in radians per meter A-048 ✔Correct! 14% Part (c) Calculate the angular frequency of the sound co, in radians per second. 157.1✔Correct! (1.0.001)-6543-106-6) (10.001)-6543E-6 X Attempts Remain 14% Part (d) Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time./= 0.001s and displacement x10 select part max sin() cotan() 14% Part (e) Write an expression for the maximum pressure exerted by the sound wave APmax in terms of the air density p. the sound velocity v, the angular frequency do, and the maximum displacement max AP maxVP, ✔Correct! & 14% Part (1) The sound wave is directly incident on a sheet of paper of surface area 4= 0.011 m² Calculate the maximum force Fmax in newtons, exerted on this sheet cos() asın() tan() acos( () x = 0 A EM Smax 7 8 9 4 5 6 Otheexpertta.com Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining 20 Matemat m (20%) Problem 6: A periodic vibration at x = 0, r=0 displaces air molecules along the x direction by max-1.1E-05 m. The motion produces a sound wave that travels at a velocity of v=330 m/s with a frequency of f= 25 Hz. Take the density of air as p₁ - 1.20 kg/m³ 14% Part (a) Calculate the wavelength of the sound wave, in meters 1-132 Correct! 14% Part (b) Calculate the wavenumber of the sound, in radians per meter A-048 ✔Correct! 14% Part (c) Calculate the angular frequency of the sound co, in radians per second. 157.1✔Correct! (1.0.001)-6543-106-6) (10.001)-6543E-6 X Attempts Remain 14% Part (d) Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time./= 0.001s and displacement x10 select part max sin() cotan() 14% Part (e) Write an expression for the maximum pressure exerted by the sound wave APmax in terms of the air density p. the sound velocity v, the angular frequency do, and the maximum displacement max AP maxVP, ✔Correct! & 14% Part (1) The sound wave is directly incident on a sheet of paper of surface area 4= 0.011 m² Calculate the maximum force Fmax in newtons, exerted on this sheet cos() asın() tan() acos( () x = 0 A EM Smax 7 8 9 4 5 6 Otheexpertta.com Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining 20 Matemat m

Answer rating: 100% (QA)

Answer 9 wavelength b warenumber c Angular frequency for x 101 05 K f Fmax 4 Displacement ... View the full answer