If the fundamental frequency of a violin string is 440 Hz, what is the frequency of the second harmonic? Of the third harmonic?
Solution 36E Step 1: th Frequency of n harmonics of a vibrating string can be found by using the mathematical expression, n L = 2n Where, L - Length of the string n - Order of harmonics th n Wavelength of the n harmonics Rearranging this equation we get, 2L n= n ---------------- (1) We know that, wavelength of the string and frequency of the string is related by the equation, v = f -------------------- (2) Where, v - speed of sound f - frequency of the string Rearranging this equation we get, f = v/ -------------------------- (3)
Textbook: Conceptual Physics
Author: Paul G. Hewitt
This full solution covers the following key subjects: frequency, Harmonic, Fundamental, string, violin. This expansive textbook survival guide covers 45 chapters, and 4650 solutions. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. The answer to “If the fundamental frequency of a violin string is 440 Hz, what is the frequency of the second harmonic? Of the third harmonic?” is broken down into a number of easy to follow steps, and 23 words. The full step-by-step solution to problem: 36E from chapter: 21 was answered by , our top Physics solution expert on 04/03/17, 08:01AM. Since the solution to 36E from 21 chapter was answered, more than 302 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12.