- 26 I What Would You Estimate For The Length Of A Bass Darinet Assuming That It Is Modeled As A Closed Tube And That 1 (1 MiB) Viewed 48 times
26. (I) What would you estimate for the length of a bass darinet, assuming that it is modeled as a closed tube and that the lowest note that it can play is a Db whose frequency is 69 Hz? 27. (I) The A string on a violin has a fundamental frequency of 440 Hz. The length of the vibrating portion is 32 cm, and it has mass 0.35 g. Under what tension must the string be placed? 28. (1) Anorgan pipe is 116 cm long. Determine the fundamental and first three audible overtones if the pipe is (a) closed at one end, and (b) open at both ends. 29. (1) (a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assumed it was a closed tube? (b) How would that change if it was one-third full of soda? 30. (1) If you were to build a pipe organ with open-tube pipes spanning the range of human hearing (20 Hz to 20kHz). what would be the range of the lengths of pipes required? 31. (II) A tight guitar string has a frequency of 540 Hz as its third harmonic. What will be its fundamental frequency if it is fingered at a length of only 70% of its original length? 32. (II) Estimate the frequency of the "sound of the ocean when you put your ear very near a 15-cm-diameter sea- shell (Fig. 12-35). FIGURE 12-35 Problem 32.