Two successive harmonics on a string fixed at both ends are 66 Hz and 88 Hz. What is the fundamental frequency of the string?
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Two successive harmonics on a string fixed at both ends are 66 Hz and 88 Hz. What is the fundamental frequency of the string?
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- A wave on a string is described by y (x, t) = A sin[kx - wt], where A = 0.020 m, k = 3.88 rad/m, and w = 4.39 rad/s. What is the speed of this wave? Give your answer in units of m/s to two decimal places.A thick power line of length 75 m is stretched taut between two poles, experiencing a tension force of 6250 N. The mass of the power line 750 kg. What is the maximum resonate frequency of the cable if the wavelength is exactly 1/3 the length of the cable?A particular bathroom stall is x = 1.4 m wide, y = 2.5 m long and z = 3.9 m high. Calculate the frequency in Hz of a standing wave in this bathroom stall where Nx = 1, Ny = 0, and Nz = 0.
- The lowest frequency string on a guitar is 65.5 cm long and is tuned to 80.0 Hz. By fingering the guitar at the fifth fret, you shorten the vibrating length of the string, thereby changing the fundamental frequency of this string to match that of the next-highest-frequency string on the guitar, 110 Hz. How long is the vibrating part of the lowest-frequency string when it is fingered at the fifth fret?A string is clamped at both ends and driven at the right frequency to form a standing wave in the fundamental harmonic. If the wave has a wavelength of 50cm, how long is the string? 50 cm 100 cm or 25 cm ?A 0.717 gram guitar string is 0.629 m long. The string is under a tension of 73.9 N.(a) What are the fundamental frequency and the third harmonics frequency? (b)What are their wavelengths?
- A tube, that is open at both ends, has a length of 14.8 cm. What are the first three frequencies that will resonanate in this tube, if the temperature is 16 degrees?A guitar string has an overall length of 2.0 m and a total mass of 35.2 g before it is strung on a guitar. Once on the guitar, however, there is a distance of 85 cm between its fixed end points. It is tightened to a tension of 345 N. (a) What is wave speed for waves on the tightened string? (b) What are the wavelength and frequency of the traveling waves that interfere to form the fundamental and second harmonic standing waves on the string? Sketch standing wave patterns of both harmonic in this string.