COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 13, Problem 52QAP
To determine
The diameter of the string A, D and G when they are made of same material and having same tension.
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A violin string of ?=31.8 cm in length and ?=0.64gm⁄ linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its fundamental oscillation mode, i.e., it will be on that note without placing any fingers on it. From this information,
Calculate the tension on the string that allows it to be kept in tune.
The A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 28 cm , and it has a mass of 0.37 g .
Under what tension must the string be placed?Express your answer using two significant figures.
A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when the string is plucked a transverse wave of frequency f = 68 Hz is generated.
What is the strings linear density, ρ, in kilograms per meter?
Chapter 13 Solutions
COLLEGE PHYSICS
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- When played in a certain manner, the lowest resonant frequency of a certain violin string is concert A (440 Hz).What is the frequency of the (a) second and (b) third harmonic of the string?arrow_forwardA band has two string instruments with 75-cm long and linear densities of 0.75 g/m and 3 g/m respectively. Both the strings were held under 30 N of tension force. The strings were plucked and vibrate at their fundamental frequency What is the fundamental frequency of the second string in unit of Hz, with the density of 1.5 g/m?(answer to one decimal points.)arrow_forwardA violin string L = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information: When playing the violin, different notes may be produced depending on the position of the the fingers of one hand on the string. The usual technique forcefully presses the string against the fingerboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for a La4 note, and a finger is placed one third of the length, down from headstock: i. What would be the frequency of the new note being produced assuming a tension of 50,26N ? ii. What would the new frequency be, if instead of using the described technique previously to play the violin, the technique called harmonic is used, where the string is only partially depressed so that a node is produced on the string in that position,…arrow_forward
- A violin string L = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information: When playing the violin, different notes may be produced depending on the position of the the fingers of one hand on the string. The usual technique forcefully presses the string against the fingerboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for a La4 note, and a finger is placed one third of the length, down from headstock: i. What would be the frequency of the new note being produced assuming a tension of 50,26N?arrow_forwardJust need to be shown parts (a) and (b) Problem 12: A guitar string of length L = 0.99 m is oriented along the x-direction and under a tension of T = 118 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 9.4 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string. Part (a) Calculate the mass per unit length μ of the guitar string in kg / m. Part (b) Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. Part (c) Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t? α = k x - ω t ✔ Correct! Part (d) Assume a form y2 = A sin(α) for the transverse displacement of the string. Write an expression for α of a transverse wave on a string traveling along the…arrow_forwardA stretched string with fixed ends has a length of 67.0 cm. (a) Calculate the wavelength of its fundamental mode of vibration (that is its first harmonic) and its fifth harmonic. (b) How many nodes does the fifth harmonic have? (discounting the ends) Wavelength first harmonic cm Wavelength fifth harmonic cm Number of nodes fifth harmonic =arrow_forward
- When played in a certain manner, the lowest resonant frequency of a certain violin string is 410 Hz. What is the frequency of the (a) second and (b) third harmonic of the string? (a) Number i (b) Number i Units Unitsarrow_forwardA string with a length of 4 m is held under a constant tension. The string has a linear mass density of μ = 0.006 kg/m. Two resonant frequencies of the string are 400 Hz and 480 Hz. There are no resonant frequencies between the two frequencies. (a) What are the wavelengths of the two resonant modes? (b) What is the tension in the string?arrow_forwardA wire of mass 15 g is stretched between two points 100 cm apart with tensional force of 35 N. When the wire is plucked, standing waves are formed in the wire.(a) Calculate the fundamental frequency and the third overtone frequency of the wire.arrow_forward
- A wire with mass 50 g is stretched so that its ends are tied down at points 90 cm apart. The wire vibrates in its fundamental mode with frequency 50 Hz and with an amplitude at the antinodes of 0.300 cm. What is the tension, in newtons, in the wire?arrow_forwardA 125 cm length of string has mass 2.00 g and tension 7.00 N. (a) What is the wave speed for this string? (b) What is the lowest resonant frequency of this string?arrow_forwardA cello is similar to a violin, with 4 longer strings and a larger body. The highest frequency string is A3 at 220 Hz (one octave below A440 on an equally tempered scale). The string is often made of tungsten to give a tough dense material with a mass of about 1.5 grams per meter. What tension would you apply to tune this string to a fundamental at 220 Hz if it is 0.695 meters long? Remember that the string is fixed at both ends. about 140 N about 35 N about 140,000 N about 1.4 Narrow_forward
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