In fit of rage directors of Ufizzi museum decide toassassinate curator.. Staff read article which mentionscurator's home will collapse if subjected to sustained tone of 30Hz. They manufacture 2 giant hollow, cylindrical noodles openat both ends. Assume speed of sound is 330 m/s How long should noodles be to produce 30 Hz fundamentalfrequency tone? Length of noodle is L Curator feels house shaking as noodles begin to howl. Hechops each noodle into thirds and a sausage is jamed into one end to form open-closed pipe with1/3 length found above What is the new fundamentalfrequency for shorter sausage stuffed noodles What is the value of next highest frequency that sausagesuffed noodles will resonate In fit of rage directors of Ufizzi museum decide toassassinate curator.. Staff read article which mentionscurator's home will collapse if subjected to sustained tone of 30Hz. They manufacture 2 giant hollow, cylindrical noodles openat both ends. Assume speed of sound is 330 m/s How long should noodles be to produce 30 Hz fundamentalfrequency tone? Length of noodle is L Curator feels house shaking as noodles begin to howl. Hechops each noodle into thirds and a sausage is jamed into one end to form open-closed pipe with1/3 length found above What is the new fundamentalfrequency for shorter sausage stuffed noodles What is the value of next highest frequency that sausagesuffed noodles will resonate
Explanation / Answer
Fundamental frequency f = 30 Hz speed of sound v = 330 m / s we know fundamental frequency f = v / 2L fromthis length of the noodle L = v / 2f = 5.5 m (b). Length L ' = L / 3 = 1.83333 m fundamental frequency f ' = v / 4L ' = 330 / ( 4 * 1.8333 ) = 45Hz next resonant frequency f " = 3 f ' = 135 Hz