Standing Waves 4. A wire of mass m = 2 kg is stretched between two walls a distance L= 10 m apart. It is set into oscillation. %3D (a) What is the wavelength of the first standing wave that can be excited? Sketch this standing wave. (b) What are the wavelengths of the second and third excited standing waves? Sketch them. (c) The string is under a tension of F,= 100 N. What are the frequencies of the first 3 standing waves? [Ans: 1.1 Hz; 2.2 Hz; 3.4 Hz] %3D A violin string vibrates (in its lowest mode) at 440 Hz when unfingered. At what -fourth of the way down from the end?

Standing Waves 4. A wire of mass m = 2 kg is stretched between two walls a distance L= 10 m apart. It is set into oscillation. %3D (a) What is the wavelength of the first standing wave that can be excited? Sketch this standing wave. (b) What are the wavelengths of the second and third excited standing waves? Sketch them. (c) The string is under a tension of F,= 100 N. What are the frequencies of the first 3 standing waves? [Ans: 1.1 Hz; 2.2 Hz; 3.4 Hz] %3D A violin string vibrates (in its lowest mode) at 440 Hz when unfingered. At what -fourth of the way down from the end?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter17: Sound

Section: Chapter Questions

Problem 40P: A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343 m/s....

See similar textbooks

Similar questions

With what tension must a rope with length 2.10 mm and mass 0.115 kgkg be stretched for transverse waves of frequency 44.0 HzHz to have a wavelength of 0.710 mm? Express your anwer in newtons.
The wave y (x,t) = Asin (kx − wt + (lambda sign)) has an amplitude of 0.245 cm and a period of 85.2 ms. What is the maximum particle velocity? Answer in m / s.
the wave function of a standing wave is given by A. 2Asin(kx)cos(wt) B. Asin(kx)cos(wt)
In the Vibrating Strings experiment, you measure L = 87.5 cm when n = 3. Given that f = 120 Hz, what is the wave speed, in m/s?
Draw the first five standing wave harmonics in a string of length L = 2 m with tensionT = 90 N and density µ = 10 kg/m. What are the wavelengths λn and frequencies fnfor each of these harmonics?
A piano tuner stretches a steel piano wire with a tension of 800 NN. The steel wire is 0.400 mm long and has a mass of 3.00 gg. What is the frequency of its fundamental mode of vibration? Express your answer in hertzes. What is the nurmber of the highest hamonic that could be heard by a person who is capable of hearing frequencies up to 10000 HzHz?
A particular strain in a piano has length 1.7 m and it’s tied into attention of 353 N. If waves were created while playing the instrument have a wave speed of 289 m/s. What is the mass of the piano string in g?
Does the sound intensity level b obey the inverse-square law? Why?
A student wants to establish a standing wave on a wire 3 m long clamped at both ends. If the wave speed is 72 m/s, what is the minimum frequency she should apply to set up standing waves?
Consider a string with under tension with a constant linear mass density. A sinusoidal wave with an angular frequency and amplitude produced by some external driving force. If the frequency of the driving force is decreased to half of the original frequency, how is the timeaveraged power of the wave affected? If the amplitude of the driving force is decreased by half, how is the timeaveraged power affected? Explain your answer.
Consider two waves defined by the wave functions y1(x,t)=0.50msin(23.00mx+24.00st) and y2(x,t)=0.50msin(26.00mx24.00st) . What are the similarities and differences between the two waves?
A microphone receiving a pure sound tone feeds an oscilloscope, producing a wave on its screen. If the sound intensity is originally 2.00105W/m2 , but is turned up until the amplitude increases by 30.0% , what is the new intensity?