natural frequency, the wavelength decreases, with the wavelength being a whole number division of 2L. This therefore means the frequency increases with the smaller wavelength. The frequency corresponding to the velength-the 2L case, with one antinode-is called the fundamental frequency. Each higher natural frequency is a whole number multiple of the fundamental one. example. Say a particular string has a fundamental frequency of 27.6 Hz (where 1 hertz, or Hz, is one oscillation per second). What would be the string's next highest natural frequency (in Hz)?

natural frequency, the wavelength decreases, with the wavelength being a whole number division of 2L. This therefore means the frequency increases with the smaller wavelength. The frequency corresponding to the velength-the 2L case, with one antinode-is called the fundamental frequency. Each higher natural frequency is a whole number multiple of the fundamental one. example. Say a particular string has a fundamental frequency of 27.6 Hz (where 1 hertz, or Hz, is one oscillation per second). What would be the string's next highest natural frequency (in Hz)?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A string is under a tension of T = 141 N. The string has a mass of m = 8 g and length L. When the string is plucked the velocity of the wave on the string is V = 291 m/s. Part (a) What is the length of the string, in meters? Part (b) If L is one wavelength, what is the frequency, in hertz?
A 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?
Consider a string with a length of (51.5) cm tied at both end (like on a stringed instrument). If the frequency of the first harmonic on the string is (258) Hz, determine the speed of the wave in the string. Post your answer in m/s and with 3 significant figures.
A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when the string is plucked a transverse wave of frequency f = 68 Hz is generated. What is the strings linear density, ρ, in kilograms per meter?
Oscillation of a 300 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 460 m/s. The standing wave has four loops and an amplitude of 2.5 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits. I got 2.5sin(4.09x)cos(600pi*t), I think I'm close but I don't have it right.
A sound wave has a frequency of 4200 Hz. The speed of sound for this problem is 344 m/s.(a) What is the distance between crests or compressions of the wave?
A 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?
For a sound with intensity I (in watts per square meter), the loudness L(1) of the sound (in decibels) is given by the function L(1) = 10 log- where I, is the intensity of a barely audible sound (about 10–12 watts per square meter). An artist in a recording studio turns up the volume of a track so that the intensity of the sound triples. Which is the expression for increase in loudness? A. increase of loudness = L(31) – L(1) B. increase of loudness = L(31) + L(I) C. increase of loudness = L(1³) – L(1) D. increase of loudness = L(1³) + L(l)
Two strings, A and B, have respective mass densities A and py respectively. The linear mass density, Hp. of string-B is nine times that of string-A (H = 9). If both strings have the same fundamental frequency when kept at the same tension, then the ratio of their lengths L/LA is equal to: O 1/3 1/9 O 3 9.
The speed of sound in a solid medium is 15 times greater than that in air. If the frequency of a wave in the solid is 61 kHz, then what is the wavelength? (The speed of sound in air is 344 m/s.)
A string on a stringed instrument has a length of 1.5m and a mass of 5g. The string is held taut by being pegged down at each end. The tension in the string is 200N. What would the second harmonic frequency be?
A creature can detect very small objects, such as an insect whose length is approximately equal to one wavelength of the sound the bat makes. If a bat emits chirps at a frequency of 65 kHz, and if the speed of sound in air is 340 m/s, what is the Cmallest insect (in mm) the bat can detect?