Each string on a violin is tuned to a frequency 1 times that of its neighbor. The four equal-length strings are to be placed under the same tension; what must be the mass per unit length of each string relative to that of the lowest string?
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- In the normal mode of a vibrating string, multiple frequencies are present and one of these is the fundamental frequency of oscillation. The other frequencies present are called: harmonics; The answer cannot be found in the other choices. octaves; overtones;A 13.3-kg object hangs in equilibrium from a string with a total length of 5.80 m and a linear mass density of μ = 0.00500 kg/m. The string is wrapped around two light frictionless pulleys that are separated by a distance of d = 2.00 m. a m TOO b (a) Determine the tension in the string. N m (b) At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b? HzThe G string on a guitar is a 0.46 mm diameter steel string with a linear density of 1.3 g/m. When the string is properly tuned to 196 Hz, the wave speed of the string is 250 m/s. Tuning is done by slowly tightening the string, and stretching it in the process. By how many mm does a 75 cm-long G string stretch when it is first tuned? [Hint: Look up relevant properties of steel as needed.]
- A nylon string fixed at both ends vibrates with a fundamental frequency of 196 Hz. Which of the following would have a higher fundamental frequency than this string? An indentical string that is longer. A nylon string with twice the diameter, but the same length. An indentical string that is tightened to a higher tension. An identical string that is given a larger amplitude of vibration.Earthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves) or transverse (S-waves). The P-waves have a speed of about 6 km/s. Estimate the average bulk modulus of Earth's crust given that the density of rock is about 2,800 kg/m3.A guitar string has a mass per length of 2.33 x 10 kg/m and a tundamental frequency of 146.8 Hz when it is under a tonsion of 82 4N. The string breaks, and its owner has only a spare string of mass per length 6.61 x 10 kg/m.
- World-renowned bluegrass musician, Frog Newton, has invited you to join his band. It is apparent that he is only looking for eye-candy on the stage, because you are only asked to play one note, the G# at a frequency of 415 Hz. You make your own instrument using a string that is 0.7 meters long and has a mass of 4 grams. Now you need to calculate the necessary tension on the string, And you will be ready to jam! What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string m At what speed would a wave propagate on this string? m/s What is the linear density of the string? kg/m What is the tension needed to produce the G# note? NA Tunable Inclined Plane. You and your team are designing a tunable, single-tone, acoustic emitter. One end of a string is connected to a post on the top of a frictionless inclined plane. The string supports a mass at rest below, on the surface of the plane. The angle of the incline relative to the horizontal (Ⓒ) is adjustable. The length of the string is L = 34.0 cm, and the mass per unit length of the string is λ = 5.58 x 10-³ kg/m. (a) When 8 = 19.5°, the plucked string is supposed to emit a fundamental frequency of f = 214 Hz. What value of the mass (M) is needed under these conditions? (b) What is the full frequency range of the device (i.e., by changing the angle)? (c) With the mass calculated in part (a), to what value should you set so that the fundamental frequency is 340 Hz? (a) Number (b) Number (c) Number i i Units Units UnitsWorld-renowned bluegrass musician, Frog Newton, has invited you to join his band. It is apparent that he is only looking for eye-candy on the stage, because you are only asked to play one note, the C at a frequency of 525 Hz. You make your own instrument using a string that is 0.5 meters long and has a mass of 2 grams. Now you need to calculate the necessary tension on the string, And you will be ready to jam! What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string m Submit Answer Tries 0/2 At what speed would a wave propagate on this string? m/s Submit Answer Tries 0/2 What is the linear density of the string? kg/m Submit Answer Tries 0/2 What is the tension needed to produce the C note?
- World-renowned bluegrass musician, Frog Newton, has invited you to join his band. It is apparent that he is only looking for eye-candy on the stage, because you are only asked to play one note, the E at a frequency of 330 Hz. You make your own instrument using a string that is 1 meters long and has a mass of 3.5 grams. Now you need to calculate the necessary tension on the string, And you will be ready to jam! What is the tension needed to produce the E note?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.