(17%) Problem 2: A periodic vibration at x = 0, 0 displaces air molecules along
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(17%) Problem 2: A periodic vibration at x = 0, 0 displaces air molecules along the x direction by smax -1.IE-05 m. The motion produces a sound wave that travels at a velocity of v = 342 m/s with a frequency off= 130 Hz. Take the density of air as Qa-1.20 kg/m3 max Otheexpertta.com 14% Part (a) Calculate the wavelength 2.63 V Correct! of the sound wave, in meters 14% Part (b) Calculate the wavenumber k of the sound, in radians per meter k 2.39 Correct! 14% Part (c) Calculate the angular frequency of the sound , in radians per second =260 816.8 Correct! p 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 t = 0.001 s and displacement x = 1 .0 m. Grade Summary Deductions Potential (1,0.001) I 0% 100% cosO tan07 8 9 in cotanasin acos( atan0 acotansinhO coshO tanh cotanhO Submissions Attempts remaining: 3 (0%per attempt) detailed view 0% 0% 0 O D egrees O Radians Submit I give up!Explanation / Answer
wave travelling along positive axis is
S = Smax*sin(wt - kx)
Given :-
Smax = 1.1 x 10^-5
t = 0.001 sec
x = 1 m
S = 1.1 x 10^-5 x sin(816.8*0.001 - 2.39*1)
S = 1.1 x 10^-5 x sin(-1.5732)
S = -1.1 x 10^-5 m
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