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Question 4 A guitar player is sitting at the floor of his bedroom and against the wall playing his guitar. The 2nd string is tuned correctly to 247Hz and the pressure wave 1 m away from the guitar follows the equation P1 = 0.1cosat Pascal The cavity of the guitar also produces a second and a fourth harmonic with half and a quarter the amplitude of the fundamental respectively. The speed of sound in the air is v= 330 m/s and the air density is p = 1.29 kg/m.
1. Calculate the total pressure and total intensity of the wave generated by all the harmonics. 2. Find the total acoustic power that exits the guitar cavity and the distance where the guitar is not possible to hear. 3. The speed of sound on any given string is given by the formula V F m! Where Fis the force along the string and m the string linear density (i.e. the mass M to length L ratio). a. To tune the guitar the player normally tightens or loosens the string. What would be the effect of tightening a string to the pitch of the note produced? b. Find the relationship between the fundamental frequency and F. 4. Which frequency of all three harmonics attenuates the most due to absorption? Provide a physical explanation for this. --
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