(a) Explanation Given information : The string length of the musical instrument is 75 cm and the mass is 8.75 g , the speed of the sound is 344 m / s and the wavelength is 0.765 m . If the string is vibrating in its second overtone then it means it is vibrating in third harmonic. Formula to calculate the linear mass density is, μ = m L μ is the linear mass density. m is the mass of the string. L is the length of the string. Formula to calculate the frequency is, f n = v λ f n is the frequency in the n th harmonics. v is the speed of sound. λ is the wavelength. The formula to calculate the frequency of n t h harmonic is, f n = n 2 L F μ F is the tension in the string. Substitute v λ for f n , m L for μ and 3 for n in the above equation. v λ = 3 2 L F ( m / L ) = 3 2 F m L Substitute 75 cm for L , 8 (b) To determine The frequency of this sound in the fundamental mode of vibration.

14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

See similar textbooks

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water includ…

Question

Chapter 15, Problem 15.44E

(a)

To determine

The tension in the string so that its vibrate in its second overtone by produces sound of wave length 0.765 m.

(b)

To determine

The frequency of this sound in the fundamental mode of vibration.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 15, Problem 15.43E

Chapter 15, Problem 15.45E

Students have asked these similar questions

A proton moves at 5.20 × 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 8.40 × 103 N/C. Ignore any gravitational effects. (a) Find the time interval required for the proton to travel 6.00 cm horizontally. 83.33 ☑ Your response differs from the correct answer by more than 10%. Double check your calculations. ns (b) Find its vertical displacement during the time interval in which it travels 6.00 cm horizontally. (Indicate direction with the sign of your answer.) 2.77 Your response differs from the correct answer by more than 10%. Double check your calculations. mm (c) Find the horizontal and vertical components of its velocity after it has traveled 6.00 cm horizontally. 5.4e5 V × Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. I + [6.68e4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each…

(1) Fm Fmn mn Fm B W₁ e Fmt W 0 Fit Wt 0 W Fit Fin n Fmt n As illustrated in Fig. consider the person performing extension/flexion movements of the lower leg about the knee joint (point O) to investigate the forces and torques produced by muscles crossing the knee joint. The setup of the experiment is described in Example above. The geometric parameters of the model under investigation, some of the forces acting on the lower leg and its free-body diagrams are shown in Figs. and For this system, the angular displacement, angular velocity, and angular accelera- tion of the lower leg were computed using data obtained during the experiment such that at an instant when 0 = 65°, @ = 4.5 rad/s, and a = 180 rad/s². Furthermore, for this sys- tem assume that a = 4.0 cm, b = 23 cm, ß = 25°, and the net torque generated about the knee joint is M₁ = 55 Nm. If the torque generated about the knee joint by the weight of the lower leg is Mw 11.5 Nm, determine: = The moment arm a of Fm relative to the…

The figure shows a particle that carries a charge of 90 = -2.50 × 106 C. It is moving along the +y -> axis at a speed of v = 4.79 × 106 m/s. A magnetic field B of magnitude 3.24 × 10-5 T is directed along the +z axis, and an electric field E of magnitude 127 N/C points along the -x axis. Determine (a) the magnitude and (b) direction (as an angle within x-y plane with respect to +x- axis in the range (-180°, 180°]) of the net force that acts on the particle. +x +z AB 90 +y

Chapter 15 Solutions

University Physics (14th Edition)

Ch. 15 - Two waves travel on the same string. Is it...Ch. 15 - Under a tension F, it takes 2.00 s for a pulse to...Ch. 15 - What kinds of energy are associated with waves on...Ch. 15 - The amplitude of a wave decreases gradually as the...Ch. 15 - Prob. Q15.5DQ Ch. 15 - The speed of ocean waves depends on the depth of...Ch. 15 - Is it possible to have a longitudinal wave on a...Ch. 15 - For transverse waves on a string, is the wave...Ch. 15 - The four strings on a violin have different...Ch. 15 - Prob. Q15.10DQ

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.

The tension in the string so that its vibrate in its second overtone by produces sound of wave length 0.765 m .

Solution Summary: The author determines the tension in the string so that when vibrating in its second overtone, it produces sound of wave length 0.765m.

Concept explainers

The tension in the string so that its vibrate in its second overtone by produces sound of wave length 0.765 m.

The frequency of this sound in the fundamental mode of vibration.

Want to see the full answer?

Chapter 15 Solutions