For multiple choice questions, circle the one best answer or letter (unless more

Question

For multiple choice questions, circle the one best answer or letter (unless more than one answer is asked for). Show your work on free-response questions. Be sure to use proper units and significant figurers in your final answers. Organization and nearness count, too. Do not use red ink-please reserve e that color for grading. An air-filled pipe with one closed (sealed) end and one open end ha a length of 85.0 cm and a diameter of 5.00 cm. (Assume that L >> D). Assume that the speed of sound in the air in the pipe is 335 m/s. If normal modes of the air inside the pipe were excited somehow (say, by blowing across the open end of the pipe), what would be the frequencies of the fundamental (i.e., 1^st harmonic, f_1) and the first overtone (i.e., 3^rd harmonic f_y)? At right, carefully sketch what the mode of oscillation looks like inside the pipe for the two harmonics you calculated above. Label all nodes with the letter "N" and antinodes with the letter "A", including at the pipe's ends.

Explanation / Answer

fundamental frequency of openpipe is f = nv/4L

f1 = 1 * 335/(4 * 0.85)

f1 = 98.53 Hz

f2 = 2f1

f2 * 2 * 98.5

f2 = 197 Hz

f3 = 3f1 = 3* 98.5

f3 = 295.58 Hz

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