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
Question
Chapter 18, Problem 2OQ
(a)
To determine
The effect on fundamental frequency if the length of the string is doubled.
(b)
To determine
The effect on fundamental frequency if the mass per unit length is doubled.
(c)
To determine
The effect on fundamental frequency if the tension is doubled.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(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
I:27)
(c) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 39.4 kHz, find the distance between adjacent antinodes for this mode of vibration. Assume the speed of sound is 343 m/s.
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
- One end of a string is vibrated harmonic up and down by a vibrator with a frequency of 10 Hz and an amplitude of 6 cm, so that the vibration propagates to the right along a long rope with a speed of 20 m/s. If the vibrating source vibrates for the first time, determine : (c) maximum speed and acceleration at any point along the rope!arrow_forward(I) (a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assumed it was a closed tube? (b) How would that change if it was one-third full of soda?arrow_forward(c) Fundamental vibration of a tube open at both ends has wavelength of 24 cm. What is the wavelength of fundamental vibration of this tube if one of its ends is closed?arrow_forward
- A string can have a “free" end if that end is attached to a ring that can slide without friction on a vertical pole (Fig. 11-60). Determine the wavelengths of the resonant vibrations of such a string with one end fixed and the other free. Free end Fixed end FIGURE 11-60 Problem 82.arrow_forwardcan you please ans (d) & (e)?arrow_forwardphysicsarrow_forward
- A variable length air column (closed on one end) is placed just below a vibrating wireof mass 5.00g, which is fixed at both ends. The length of the air column is graduallyincreased from zero until the first position of resonance (first harmonic) is observed at 34cm. The wire is 120 cm long and is vibrating in its third harmonic. If the speed of soundin air is 340 m/s, what is the tension in the wire?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_forwardA 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create a sound wave as part of a musical instrument, what is the frequency and wavelength of the sound wave created if the string is oscillating in its fundamental mode?arrow_forward
- A string is fixed at both ends and vibrating at 130 Hz, which is its third harmonic frequency. The linear density of the string is 4.9x10-3 kg/m, and it is under a tension of 2.4 N. Determine the length of the string.arrow_forwardA length of a string is L and its mass per unit length is µ. The string is stretched and the tension in the string is T. The string vibrates at its fundamental frequency, f.(i) Draw the diagram to show the vibration of the string.(ii) Find in the terms of f, the new fundamental frequency when the tension is the string is doubled.arrow_forwardA 5 kg rope with a 50 kg mass is hung from the edge of a cliff. If the rope is 20 m long, and one end of the rope is tweaked, how long will it take for the resulting disturbance to reach the other end?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning