18: A sonometer wire 60 cm long produces a resonance with a tuning fork. When its length is decreased by 5 cm, 10 beats are heard. Find the frequency of the tuning fork.
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resonance with a tuning fork. When its length
is decreased by 5 cm, 10 beats are heard. Find
the frequency of the tuning fork."
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- Please help. Thank you The longest "string" (a thick metal wire) on a particular piano is 2.00 m long and has a tension of 375 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire?A guitar with strings of length L = 0.55 m has new strings put on it. The low E string has a linear density of ρ = 0.0062 kg/m and when tuned properly should produce a fundamental tone of ν = 82.41 Hz. L=0.55 m p= 0.0062 kg/m A: What is the proper tension the string should be under, in Newtons? B: If the string was mistakenly tuned to high E (ν = 330 Hz) what would the tension be, in Newtons?5. Calculate the time displacement for each of the given waves, stating lead or lag. (a) (b) (c) 20 sin 100t+ || cos(7t-0.26) and 5 cos (77) COS ++15 -1) ₁ 1 t+1 eл ел and the function before the shift. and the function before the shift.
- 2. A 1.5−m-long string fixed at both ends vibrates at resonant frequencies of 930 Hz and 1395 Hz, with no other resonant frequency between these values. (a) What is the fundamental frequency of this string? in Hz8 A 1.0 m1.0 m long pipe held vertically is inserted into a tank of water. This creates an open-closed pipe whose length can be easily varied. When a tuning fork is held at the open end and the pipe is slowly pulled out of the water, resonances are observed when the top of the pipe is 16 cm and 48 cm above the top surface of the water, and no resonances are observed in between. What is the frequency of the tuning fork? Use 340 m/s for the speed of sound. 240 Hz 530 Hz 610 Hz 710 Hz 850 Hz Correct.12. In the arrangement shown, a mass can be hung from a string (with a linear mass density of H = 0.002 */m) that passes over a massless pulley. The string is connected to an oscillator of constant frequency f. The length of the string between the oscillator and pulley is L = 2.00 m. When the mass is either 16 kilograms or 25 kilograms, standing waves are observed; however, no standing waves are observed with any mass between these values. (a) What is the frequency of the oscillator? (hint: the heavier the mass, the fewer the number of nodes) (b) What is the largest mass for which standing waves can be observed? L f 11 w 11 oto o onstont
- 8. What is the beat frequency heard when two organ pipes, each open at both ends, are sounded together at their fundamental frequencies if one pipe is 60 cm long and the other is 63 cm long?(The speed of sound is 340 m/s) Hz 60 ss 60 ssfo f60 ssfs*6 09JSS5) What tension is needed to make a 1.2m long string resonate at its fourth harmonic with a frequency of 240Hz? The linear density of the string is 1.55 g/m .5. On a day when the speed of sound in air is 345 m/s, the fundamental frequency of an open-ended organ pipe is 690 Hz. If the second harmonic of this pipe has the same wavelength as the second overtone (third harmonic) of a closed-end pipe, what is the length of each pipe?
- A pipe of length 0.5 m has one end closed. It is to be cut in one place so that the closed end piece has a lowest resonant frequency equal to the second lowest resonant frequency of the remaining piece (open at both ends). 3. Find values for the lengths of the two pieces and, 4. find values for the three lowest frequencies of each section of pipe.10.) see photo for details