The 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.]
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![The 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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d409dbe-0069-4bdd-acc1-9391e01545d6%2Fd349ae18-9a70-4d8d-8c19-2b64fb4b82ce%2Fydubyw5_processed.jpeg&w=3840&q=75)
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- The tension in a wire clamped at both ends is increased to 5.1 times its original magnitude without appreciably changing the wire's length between the clamps. What is the ratio of the new to the old wave speed for transverse waves traveling along this wire?The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.64 m. This same length of string is weighed and found have a mass of 1.5×10-3 kg. Part (a) At what tension, in newtons, must the D-string must be stretched in order for it to be properly tuned? Part (b) What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? Part (c) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. Part (d) The guitarist shortens the oscillating length of the properly tuned D-string by 0.15 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?A nylon guitar string has a linear density of 7.2 g/m and is under a tension of 244.9 N. The fixed supports are D = 73.8 cm apart. The string is oscillating in the standing wave pattern shown in the figure. What is the frequency of the standing wave? Express your answer in Hz, to at least one digit after the decimal point.
- A string of length L = 1.20 m is fixed at both ends and is stretched with a tension provided by a weight of 1.763 kg. If the mass per unit length of the string is 0.0012 kg/m, what will be the fundamental frequency of the vibration of the string? The above string is now made to vibrate at the same frequency by adjusting its tension, but in its third harmonic. What is the new tension on the string?(a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by plucking one end of the taut cable. The pulse makes 5 trips down and back along the cable in 0.5 s. What is the tension in the cable? (b) A simple pendulum consists of a ball of mass 3 kg hanging from a uniform string of mass 0.06 kg and length L. If the period of oscillation of the pendulum is 3 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically. Group of answer choices 2) Light waves are electromagnetic waves that travel at 3.00 108 m/s. The eye is most sensitive to light having a wavelength of 5.84 10-7 m. (a) Find the frequency of this light wave. (b)Find its period.A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm-1)x] cos[(45.2 n s1)t). What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.20 cm when t = 1.06 s? (a) Number Units [ cm (b) Numbet226 Units cm/s (c) Numbet Units cm (d) Number Units
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- The note that is three octaves above middle C is supposed to have a fundamental frequency of 2093 Hz. On a certain piano the steel wire that produces this note has a cross-sectional area of 6.72 x 10-7 m². The wire is stretched between two pegs. When the piano is tuned properly to produce the correct frequency at 25.0 °C, the wire is under a tension of 877.4 N. Suppose the temperature drops to 20.0 °C. In addition, as an approximation, assume that the wire is kept from contracting as the temperature drops. Consequenctly, the tension in the wire changes. What beat frequency is produced when this piano and another instrument (properly tuned) sound the note simultaneously? Steel's coefficient of linear expansion is 12 x 10-6 (Cº)-1 and its Young's modulus is 2 x 10¹¹ N/m².A person putting up power lines is told to stretch the wire between poles to a tension of about 800N. The person doesn't have a tension scale so they decide to measure the speed of a pulse created on the wire when they hit it with a wrench. The pulse travels from one pole 60m to another pole and back again in 2.6 s. The 60m long wire has a mass of 15kg. Should the wire be tightened or loosened? Explain how you decided. Thanks!A string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the distance between adjacent nodes is 43 cm. The tension of the wire is 86 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.