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Problem 2: A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by Smax = 3.9E-05 m. The motion produces a sound wave that travels at a velocity of v = 335 m/s with a frequency of f = 185 Hz. Take the density of air as Pa = 1.20 kg/m³.

Problem 2: A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by Smax = 3.9E-05 m. The motion produces a sound wave that travels at a velocity of v = 335 m/s with a frequency of f = 185 Hz. Take the density of air as Pa = 1.20 kg/m³.

College Physics
College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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can you please solve part (d)? 

Smax Problem 2: A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.9E-05 m. The motion produces a sound wave that travels at a velocity of v = 335 m/s with a frequency of f = 185 Hz. Take the density of air as pa = 1.20 kg/m3. x = 0 Part (a) Calculate the wavelength A of the sound wave, in meters. Numeric : A numeric value is expected and not an expression. Part (b) Calculate the wavenumber k of the sound, in radians per meter. Numeric : A numeric value is expected and not an expression. k = Part (c) Calculate the angular frequency of the sound w, in radians per second. Numeric : A numeric value is expected and not an expression. W = 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 t = 0.001 s and displacement x = 1.0 m. Numeric : A numeric value is expected and not an expression. s(1,0.001) = Part (e) Write an expression for the maximum pressure exerted by the sound wave APmax in terms of the air density Pa, the sound velocity v, the angular frequency w, and the maximum displacement Smax- Expression : APmax = Select from the variables below to write your expression. Note that all variables may not be a, B, w, Pa, 0, d, f, g, h, j, k, m, P, Smax, V red. Part (f) The sound wave is directly incident on a sheet of paper of surface area A = 0.041 m². Calculate the maximum force Fmax, in newtons, exerted on this sheet. Numeric : A numeric value is expected and not an expression. Fmax = Part (g) If the frequency of the sound wave were increased by a factor of 100, how would the force exerted on the sheet in part (f) change? MultipleChoice : 1) The force would not change. 2) The force would increase by a factor of 100. 3) The force would increase by a factor of 10. 4) The force would decrease by a factor of 100. 5) The force would decrease by a factor of 10. 6) The force would decrease by a factor of 1000. 7) The force would increase by a factor of 1000.
Transcribed Image Text:Smax Problem 2: A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.9E-05 m. The motion produces a sound wave that travels at a velocity of v = 335 m/s with a frequency of f = 185 Hz. Take the density of air as pa = 1.20 kg/m3. x = 0 Part (a) Calculate the wavelength A of the sound wave, in meters. Numeric : A numeric value is expected and not an expression. Part (b) Calculate the wavenumber k of the sound, in radians per meter. Numeric : A numeric value is expected and not an expression. k = Part (c) Calculate the angular frequency of the sound w, in radians per second. Numeric : A numeric value is expected and not an expression. W = 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 t = 0.001 s and displacement x = 1.0 m. Numeric : A numeric value is expected and not an expression. s(1,0.001) = Part (e) Write an expression for the maximum pressure exerted by the sound wave APmax in terms of the air density Pa, the sound velocity v, the angular frequency w, and the maximum displacement Smax- Expression : APmax = Select from the variables below to write your expression. Note that all variables may not be a, B, w, Pa, 0, d, f, g, h, j, k, m, P, Smax, V red. Part (f) The sound wave is directly incident on a sheet of paper of surface area A = 0.041 m². Calculate the maximum force Fmax, in newtons, exerted on this sheet. Numeric : A numeric value is expected and not an expression. Fmax = Part (g) If the frequency of the sound wave were increased by a factor of 100, how would the force exerted on the sheet in part (f) change? MultipleChoice : 1) The force would not change. 2) The force would increase by a factor of 100. 3) The force would increase by a factor of 10. 4) The force would decrease by a factor of 100. 5) The force would decrease by a factor of 10. 6) The force would decrease by a factor of 1000. 7) The force would increase by a factor of 1000.
Expert Solution
Step 1: Step 1

Given:at t = 0 s, x= 0 mdisplacement amplitude, smax = 3.9×10−5 mvelocity of wave, v = 335 m/sfrequency of wave, f = 185 Hzdenisty of air, ρa = 1.20 kg/m3

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