Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18, Problem 22P
(a)
To determine
The fundamental frequency.
(b)
To determine
If plucking the string about one sixth of its length from other end, what is the frequency heard.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends. (a) Find the frequency of the lowest note a piccolo can play. (b) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4.00 x 103 Hz, find the distance between adjacent antinodes for this mode of vibration.
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?
(3) The lowest note on a piano (the first harmonic vibration) is the "A" note, which has a frequency of 27.5
Hz. The entire string is 2.0 m long and has a mass of 402 g. The vibrating section of the string is 1.89 m
long.
(a) What tension is required to tune the string properly? (answer: 2170 N)
(b) What is the wavelength of the first harmonic vibration? (answer: 3.78 m)
(c) What are the wavelength and frequency of the second harmonic vibration of the string? (answer: 55.0
Hz and 1.89 m)
(d) What are the wavelength and frequency of the fourth harmonic vibration of the string? (answer: 110
Hz and 0.945 m)
2L
F
fn =
2L
n
Chapter 18 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 18.1 - Prob. 18.1QQCh. 18.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 18.3 - When a standing wave is set up on a string fixed...Ch. 18.5 - Prob. 18.4QQCh. 18.5 - Prob. 18.5QQCh. 18 - Prob. 1OQCh. 18 - Prob. 2OQCh. 18 - Prob. 3OQCh. 18 - Prob. 4OQCh. 18 - Prob. 5OQ
Ch. 18 - Prob. 6OQCh. 18 - Prob. 7OQCh. 18 - Prob. 8OQCh. 18 - Prob. 9OQCh. 18 - Prob. 10OQCh. 18 - Prob. 11OQCh. 18 - Prob. 12OQCh. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - Prob. 7CQCh. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Two waves on one string are described by the wave...Ch. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Two pulses traveling on the same string are...Ch. 18 - Two identical loudspeakers are placed on a wall...Ch. 18 - Prob. 9PCh. 18 - Why is the following situation impossible? Two...Ch. 18 - Two sinusoidal waves on a string are defined by...Ch. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - Prob. 16PCh. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - Prob. 20PCh. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - A string that is 30.0 cm long and has a mass per...Ch. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - The fundamental frequency of an open organ pipe...Ch. 18 - Prob. 42PCh. 18 - An air column in a glass tube is open at one end...Ch. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 48PCh. 18 - Prob. 49PCh. 18 - Prob. 50PCh. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - Prob. 53PCh. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - Prob. 56PCh. 18 - Prob. 57PCh. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Prob. 60PCh. 18 - Prob. 61PCh. 18 - Prob. 62APCh. 18 - Prob. 63APCh. 18 - Prob. 64APCh. 18 - Prob. 65APCh. 18 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 18 - Prob. 67APCh. 18 - Prob. 68APCh. 18 - Prob. 69APCh. 18 - Review. For the arrangement shown in Figure...Ch. 18 - Prob. 71APCh. 18 - Prob. 72APCh. 18 - Prob. 73APCh. 18 - Prob. 74APCh. 18 - Prob. 75APCh. 18 - Prob. 76APCh. 18 - Prob. 77APCh. 18 - Prob. 78APCh. 18 - Prob. 79APCh. 18 - Prob. 80APCh. 18 - Prob. 81APCh. 18 - Prob. 82APCh. 18 - Prob. 83APCh. 18 - Prob. 84APCh. 18 - Prob. 85APCh. 18 - Prob. 86APCh. 18 - Prob. 87CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A guitar player tunes the fundamental frequency of a guitar string to 450 Hz. (a) What will be the fundamental frequency if she then increases the tension in the string by 29%? (b) What will it be if, instead, she decreases the length along which the string oscillates by sliding her finger from the tuning key one-third of the way down the string toward the bridge at the lower end? (a) Number i 80 (b) Number i 77 Units Units Hz Hzarrow_forwardA violin string has a fundamental frequency of 450 Hz. Which of the following frequencies can set the string into a resonant vibration (standing wave pattern)? O 1350 Hz 0 45 Hz O 1000 Hz O 250 Hzarrow_forwardThe A string of a violin has a linear density of 0.60 g/m and an effective length of 330 mm. (a) Find the tension required for its fundamental frequency to be 440 Hz. (b) If the string is under this tension, how far from one end should it be pressed against the fingerboard in order to have it vibrate at a fundamental frequency of 495 Hz, which corresponds to the note B?arrow_forward
- A 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_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_forwardThe height of the speaker stack was designed to be equal to the wavelength of the sound wave produced by the lowest string. If the frequency of this harmonic vibration is 31 Hz and the length of the string is 0.89m (89cm), what is the speed of the ave on the string? If the density of the string is 0.0657 kg/m what is the Tension of the string? If the speed of sound is 343 m/s what will be the wavelength of the sound made by the first harmonic vibration (hint: this is the height of the tallest stack of speakers)arrow_forward
- The lowest note on a piano (the first harmonic vibration) is the "A" note with frequency 27.5 Hz. A 2.00 m long section of the string has mass 428 grams. The vibrating section of the string is 1.96 m long. The tension required to tune the string properly is The frequency of the tenth harmonic vibration of the string is he wavelength of the tenth harmonic vibration of the string is he wavelength of the tenth harmonic vibration of the string isarrow_forwardA taut string for which μ = 5x10-2 kg/m is under a tension of 80 N. (a) How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60 Hz and an amplitude of 6 cm? (b) if the string is to transfer energy at a rate of 1000 W? What must be the required amplitude if all other parameters remain the same?arrow_forwardA 2.35-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 15.0 N. (a) What are the frequencies of the first three allowed modes of vibration? f = Hz f2 = Hz f3 = Hz (b) If a node is observed at a point 0.470 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) O The frequency is the twentieth state at 79.9 Hz O The frequency is the tenth state at 39.9 Hz O The frequency is the fifth state at 20.0 Hz O The frequency is the second state at 8.0 Hz O The frequency is the fifth state at 10.0 Hz O The frequency is the tenth state at 8.0 Hzarrow_forward
- Each string on a violin is tuned to a frequency 1.5 times that of its neighbor.The four equal-length strings are to be placed under the same tension. The lowest string plays at 196 hertz, has a length of 0.32 meters, and has a tension of 45 newtons. For the 196-hertz string, find its mass per length.arrow_forwardA wire with a length of 100 cm is tied between two supports. The tension in the wire is 50N. The wire vibrates in the 2nd harmonic mode with a frequency of 50 Hz. Find the mass of the wire.arrow_forwardA stretched string fixed at each end has a mass of 40.0g and a length of 8.00m. The tension in the string is 49.0N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY