College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Chapter 14, Problem 8CQ
(i)
To determine
The harmonic number equals to the number of nodes or antinodes.
(ii)
To determine
The distance from a node to its adjacent antinode.
(iii)
To determine
The harmonic number of fundamental frequency.
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Students have asked these similar questions
A certain vibrating string on a piano has a length of 56.9 cm and forms a standing wave having three antinodes.
(a) Which harmonic does this wave represent?
(b) Determine the wavelength of this wave.
(c) How many nodes are there in the wave pattern?
Question 2:
Consider a wave described by the equation: n(x, t) = a Cos [21- vt)]. (a is the
amplitude of the wave, a is its wavelength and v is its frequency.)
a/ Att =0.0, the profile of the wave in space is shown according to the below figure. Use
the figure to calculate the wavelength and amplitude
b/ Att = 2.0, the wave moves to the right according to the following figure. Calculate the
frequency and speed of the wave.
t+0.0
t=2.0
6
c/ A standing wave can be made by summing up two traveling waves traveling in
opposite directions
Nstanding wave (x, t) = a Cos [2r (– vt)] + a Cos [2r (- + vt)]
Draw the profiles of the wave n (x, t) = a Cos [27(G– vt)] in space together with the
wave n2(x, t) = a Cos [27G+ vt)] at t=0.0, t=0.5, t=1.0, t=1.5. Also, draw the
interference of the two waves to show that it is not traveling.
Just need to be shown parts (a) and (b)
Problem 12: A guitar string of length L = 0.99 m is oriented along the x-direction and under a tension of T = 118 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 9.4 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string.
Part (a) Calculate the mass per unit length μ of the guitar string in kg / m. Part (b) Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. Part (c) Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t?
α = k x - ω t ✔ Correct!
Part (d) Assume a form y2 = A sin(α) for the transverse displacement of the string. Write an expression for α of a transverse wave on a string traveling along the…
Chapter 14 Solutions
College Physics
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