General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 21, Problem 26E
To determine
The mass per unit length of the string.
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An instrument has a lowest frequency of 40 Hz. The string has mass per unit length of 0.015 kg/m. Calculate the tension in the string.
Two strings A and B are given. The length of A is twice that of B. The total mass of A is one-third that of B. If the tension in wire A is one-half that of B and the fundamental frequency of A is 400Hz, what is the fundamental frequency of string.
The longest “string” (a thick metal wire) on a particular piano is 2.00 m long and has a tension of 227 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire (in kg)?
Chapter 21 Solutions
General Physics, 2nd Edition
Ch. 21 - Prob. 1RQCh. 21 - Prob. 2RQCh. 21 - Prob. 3RQCh. 21 - Prob. 4RQCh. 21 - Prob. 5RQCh. 21 - Prob. 6RQCh. 21 - Prob. 7RQCh. 21 - Prob. 8RQCh. 21 - Prob. 9RQCh. 21 - Prob. 10RQ
Ch. 21 - Prob. 1ECh. 21 - Prob. 2ECh. 21 - Prob. 3ECh. 21 - Prob. 4ECh. 21 - Prob. 5ECh. 21 - Prob. 6ECh. 21 - Prob. 7ECh. 21 - Prob. 8ECh. 21 - Prob. 9ECh. 21 - Prob. 10ECh. 21 - Prob. 11ECh. 21 - Prob. 12ECh. 21 - Prob. 13ECh. 21 - Prob. 14ECh. 21 - Prob. 15ECh. 21 - Prob. 16ECh. 21 - Prob. 17ECh. 21 - Prob. 18ECh. 21 - Prob. 19ECh. 21 - Prob. 20ECh. 21 - Prob. 21ECh. 21 - Prob. 22ECh. 21 - Prob. 23ECh. 21 - Prob. 24ECh. 21 - Prob. 25ECh. 21 - Prob. 26ECh. 21 - Prob. 27ECh. 21 - Prob. 28ECh. 21 - Prob. 29ECh. 21 - Prob. 30ECh. 21 - Prob. 31ECh. 21 - Prob. 32ECh. 21 - Prob. 33ECh. 21 - Prob. 34ECh. 21 - Prob. 35ECh. 21 - Prob. 36ECh. 21 - Prob. 37ECh. 21 - Prob. 38ECh. 21 - Prob. 39ECh. 21 - Prob. 40ECh. 21 - Prob. 41ECh. 21 - Prob. 42ECh. 21 - Prob. 43ECh. 21 - Prob. 44ECh. 21 - Prob. 45ECh. 21 - Prob. 46ECh. 21 - Prob. 47ECh. 21 - Prob. 48ECh. 21 - Prob. 49ECh. 21 - Prob. 50ECh. 21 - Prob. 51ECh. 21 - Prob. 52ECh. 21 - Prob. 53ECh. 21 - Prob. 54ECh. 21 - Prob. 55ECh. 21 - Prob. 56ECh. 21 - Prob. 57ECh. 21 - Prob. 58ECh. 21 - Prob. 59ECh. 21 - Prob. 60ECh. 21 - Prob. 61ECh. 21 - Prob. 62ECh. 21 - Prob. 63ECh. 21 - Prob. 64ECh. 21 - Prob. 65ECh. 21 - Prob. 66ECh. 21 - Prob. 67ECh. 21 - Prob. 68ECh. 21 - Prob. 69ECh. 21 - Prob. 70ECh. 21 - Prob. 71ECh. 21 - Prob. 72ECh. 21 - Prob. 73ECh. 21 - Prob. 74ECh. 21 - Prob. 75ECh. 21 - Prob. 76ECh. 21 - Prob. 77ECh. 21 - Prob. 78ECh. 21 - Prob. 79ECh. 21 - Prob. 80E
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- The fundamental frequency produced by the E string on a violin is 659.3 Hz. The length of the string is 33.0 cm. Assuming the speed of sound is 343 m/s, what is the tension on the string if the mass per unit length is 3.47 x 10-4 kg/m?arrow_forwardThe lowest note on a grand piano has a frequency of 27.5 Hz. The entire string is 2.00 m long and has a mass of 400 g. The vibrating section of the string is 1.90 m long. What tension is needed to tune this string properly?arrow_forwardThe lowest-frequency string of a violin is 0.33 m long and is under a tension of 55 N. The fundamental frequency is 196 Hz. What is the mass per unit length of the string?arrow_forward
- Two strings A and B are given. The length of A is twice that of B. The total mass of A is one-third that of B. If the tension in wire A is one-half that of B and the fundamental frequency of A is 400 Hz, what is the fundamental frequency of string B?arrow_forwardThe 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.arrow_forwardAn ethernet cable is 4.20 m long and has a mass of 0.220 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.740 s. What is the tension in the cable?arrow_forward
- The lowest A (La) in a piano has a frequency of 27.5 Hz. If the tension in the string of length 2.00 m is 308 N and half the wavelength occupies the string. What is the mass of the cable?arrow_forwardA steel piano wire is 72.9 cm long and has a mass of 4.54 x 10-3 kg. The fundamental frequency of the wire is 262 Hz, corresponding to the frequency of middle C on the musical scales. Determine the tension to which the wire is pulled in order to vibrate with this frequency.arrow_forwardSuppose the strings on a violin are stretched with the same tension and each has the same length between its two fixed ends. The musical notes and corresponding fundamental frequencies of two of these strings are G (196.0 Hz) and E (659.3 Hz). The linear density of the E string is 7.74 x 10-4 kg/m. What is the linear density of the G string?arrow_forward
- Suppose the strings on a violin are stretched with the same tension and each has the same length between its two fixed ends. The musical notes and corresponding fundamental frequencies of these two strings are G (196.0 Hz) and E (659.3 Hz). The linear density of the E string is 2.81E-4 kg/m. What is the linear density of the G string?arrow_forwardA string is 3 m long and has a mass of 0.001 kg. If we want the fundamental frequency of the string to be 175 Hz, how much tension should we apply to it?arrow_forwardA string with a mass density mu = 6.40e-03 kg/m is under a tension of F = 259 N and is fixed at both ends. One of its resonance frequencies is 622.0 Hz. The next higher resonance frequency is 777.5 Hz. What is the fundamental frequency of this string? Which harmonic does the resonance frequency at 622.0 Hz correspond to? (i.e. what is n at this frequency?) What is the length of the string? Now, suppose the same string is detached at one end and connected by a ring to a frictionless post, so that it can move freely. Find the wavelength of the first (fundamental) harmonic. What is the frequency of the third (n = 3) harmonic in this case?arrow_forward
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