- 33 It An Unfingered Guitar String Is 0 68 M Long And Is Tuned To Play E Above Middle C 330 Hz A How Far From The 1 (902.85 KiB) Viewed 39 times
33. (IT) An unfingered guitar string is 0.68 m long and is tuned to play E above middle C (330 Hz). (a) How far from the end of this string must a fret (and your finger) be placed to play A above middle C (440 Hz)? (b) What is the wave- length on the string of this 440-Hz wave? (c) What are the frequency and wavelength of the sound wave produced in air at 22°C by this fingered string? 84. (II) (a) Determine the length of an open organ pipe that emits middle C (262 Hz) when the temperature is 18°C. (b) What are the wavelength and frequency of the funda- mental standing wave in the tube? (c) What are Å and f in the traveling sound wave produced in the outside air? 35. (II) An organ is in tune at 22.0°C. By what percent will the frequency be off at 11°C 36. (II) How far from the mouthpiece of the flute in Example 12-11 should the hole be that must be uncovered to play F above middle Cat 349 Hz? 37. (II) (a) At T = 22 C. how long must an open organ pipe be to have a fundamental frequency of 294 H2? (b) If this pipe is filled with helium, what is its fundamental frequency? 38, (II) A particular organ pipe can resonate at 264 Hz 440 Hz, and 616 Hz, but not at any other frequencies in between. (a) Show why this is an open or a closed pipe. th) What is the fundamental frequency of this pipe 39. (II) A uniform narrow tube 1.70 m long is open at both ends. It resonates at two successive harmonies of frequencies 275 Hz and 330 HZ. What is at the fundamental frequency. and (b) the speed of sound in the seas in the tube? 40. (In A pipe in air at 23.0 C is to be designed to produce two successive harmonies al 280 Hz and 320 HZ: How long must the pipe be, and is it open or closed?