(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 fn = 2L

(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 fn = 2L

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)...

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

(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

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