Assignment 8 Sound (#1) kn-prob213.problem Due date: Tue Apr 11 1i:59:59 pm 2023 (EDT) (1) Two strings are adjusted to vibrate at exactly 331.0 Hz. Then the tension in one string is increased slightly. After ward, 37.00 beats per second are heard when the strings vi brate at the same time. What is the new frequency of the string that was tightened? : This 0/10 (#2) cjprob1733a.problem (2a) A string has a linear density of 8.5E3 kgfm and is under 263 N of tension. The string is 1.5 m long is xed at both ends and is vibrating in the standing wave pattern shown in the drawing. Determine the speed of the traveling waves that make up the standing wave. This 1'!le 'h'n (2b) What is the wavelength? : This 0/10 ith What is the frequency? This 1'!le (#3) knprob2142.problem (3) A heavy piece of hanging sculpture is suspended by a 92.4 cm long, 5.09 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 62.4 Hz. What is the mass of the sculpture? I: This 1'!le (#4) knprob2152.problem (4) A 433cm long wire with a mass of 3.60g and a tension of 627.014 passes across the open end of an openclosed tube of air. The wire, which is xed at both ends, is bowed at the center so as to vibrate at its fundamental frequency and generate a sound wave. Then the tube length is adjusted until the fundamental frequency of the tube is heard. What is the length of the tube? (Assume v = 340.0mfs) sound This 1'!le (#5) sbprob1822.problem [5) A stretched wire vibrates in its fundamental mode at a fre quency of 450 Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were decreased by a factor of two? [:1 This [if 10 [#} cjprob1702.problem [6) Two identical speakers, one directly behind the other, are generating a 392 Hz sound wave. What is the smallest separation distance between the speakers that will produce destructive interference at the position of a listener standing in front of them? The speed of sound in air is 343 mfs. :I This [if 10 [#7) sbprob1838a.problem (Ta) When a hollow metal pipe that is open at both ends is cut into two pieces, the lowest resonance frequency in one piece is 258 Hz and that for the other is 409 Hz. What lowest resonant frequency would have been produced by the original length of pipe? Assume the speed of sound in air is 345 m,v's. This [1le (Tb) How long was the original pipe? This [if 10 [#8) knprob2144.problem [3) A 102.3 g cord has an equilibrium length of 5.68 m. The cord is stretched horizontally to a length of 7.47 m, then vibrated at 23.2 Hz. This produces a standing wave with two antinodes. What is the sring constant of the cord? This Of 10 [#9) knprob2112a.problem [9a) A 134.7 cm long, 8.2? g string, fixed at both ends, oscil lates in its n = 3.00 mode with a frequency of 338.0 Hz and a maximum amplitude of 4.96 mm. What is the wavelength % This [U10 [le What is the tension in the string? This [U10 (#10) knprob2116a.prob em [10a] What is the longest wavelength for standing sound waves in a 134.8cm long tube that is open at both ends? This [1,310 [10b) What is the second longest wavelength? Tries 0/10 (10c) What is the third longest wavelength? Tries 0/10 (10d) What is the longest wavelength for a standing wave, in the same length tube, that is open at one end and closed at the other? Tries 0/10 (10e) What is the second longest wavelength? Tries 0/10 (10f) What is the third longest wavelength? Tries 0/10 #11) sf-prob1442.problem (11) A 2.14m long air column is open at both ends. The frequency of a certain harmonic is 2100Hz, and the frequency of the next higher harmonic is 2625Hz. Determine the speed of sound in the air column. Tries 0/10 (#12) kn-prob2110a.problem (12a) What is the longest wavelength for standing waves on a 594.0 cm long string that is fixed at both ends? Tries 0/10 (12b) What is the second longest wavelength for standing waves? Tries 0/10 (12c) What is the third longest wavelength for standing waves Tries 0/10 (12d) If the frequency of the second-longest wavelength is 54.2 Hz, what is the frequency of the third longest wavelength? Tries 0/10 Printed from LON-CAPAOMSU Licensed under GNU General Public License