SHM, Waves, Thermo, E&M Practice Problem Workbook

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MECHANICS PRACTICE PROBLEM SETS 11 12. Billy Bob Joe whistles at 441 Hz and Mary Jane whistles at 462 Hz. What beat frequency does Mary Jane hear Answer: f b = 21 Hz 13. A railroad train is traveling at 25.0 m/s in still air. The frequency of the note emitted by the locomotive whistle is 400 Hz. a. What is the frequency heard by a stationary observer standing in front of the locomotive Answer: f’ = 431 Hz b. What is the frequency heard by a stationary observer standing behind the locomotive Answer: f’ = 373 Hz c. The train comes to a full stop at the nearest station so that new passengers can get onto the train. When it has come to rest, it blows its whistle at another train coming toward the station at 10 m/s. What frequency does a passenger sitting on the moving Answer: f’ = 412 Hz 14. A train moving at a constant speed is passing a stationary observer on a platform. On one of the train cars, a flute player is continually playing a note known as concert A, which has a frequency of 440 Hz. After the flute has passed, the observer hears the sound as a G, which has a frequency of 392 Hz. What is the speed of the train Answer: 42 m/s 15. A guitar string has a fundamental frequency of 256 Hz. What is the frequency of the 3 rd harmonic Answer: 768 Hz a. What would the length of the guitar string have to be to produce a transverse wave in the string with a speed of 405 m/s at the fundamental frequency Answer: 0.79 m 16. A string that is 2.00 meters long and has a mass of .0025 kg. a. If the fundamental frequency is 120 Hz, what are the frequencies of the first four harmonics Answer: 120 Hz, 240 Hz, 360 Hz, 480 Hz b. What must the tension be for the string to vibrate at the 4 th harmonic Answer: 288 N 17. The speed of sound in a certain metal block is 3.00 x 10 3 m/s. The graph shows the amplitude in meters of a wave traveling through the block versus time in milliseconds. What is the wavelength of this wave Answer: 6 m Gamzon & Gregorian-Michaelsen 6/13/12
MECHANICS PRACTICE PROBLEM SETS 12 18. A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 grams. a. What is the frequency of its fundamental mode of vibration Answer: 408 Hz b. What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 10,000 Hz Answer: 24 th harmonic Gamzon & Gregorian-Michaelsen 6/13/12
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SHM, Waves, Thermo, E&M Practice Problem Workbook

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