Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
5th Edition
ISBN: 9780134402628
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 15, Problem 92GP
To determine
The mathematical representation of the wave.
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Wave Speed
у (сm)
20
15
10
5
x (cm)
-10
-5
5.
10
-15
-20
v = f .L
f = frequency
L = wavelength
The graph above shows a snapshot of a sinusoidal wave in a string. As shown in the formula (also above),
the speed of the wave depends on both the frequency and the wavelength of the wave. If the frequency is
49.1 Hz, then calculate the speed of the wave. (Note. This calculation estimates the wavelength to a tenth
of a centimeter.)
Shown below is the plot of a wave function
that models a wave at time t = 0.00s and t =
2.00s. Take crests of the dotted line and solid
line at 0.25m and 0.9m, respectively. (a)
Determine the amplitude and wave number
of the wave, (b) Calculate the wave speed
and angular frequency of the wave, (c) Write
the wave function of the wave, and (d) Say
the dotted and solid waves travel in the
opposite direction, write the wave function of
the resulting standing wave.
y(m) 4
0.40
0.30
0.20
0.10
0.00
-0.10
-0.20
-0.30
-0.40
t = 0.00 s
KXX
0 0.2 0.4 0.6 0.8 1
t = 2.00 s
x(m)
1
1.2 1.4 1.6 1.8 2
The graph below shows a "snapshot" of a sinusoidal wave in a string. A formula for the power of this
wave (the rate at which it transports energy) is given below the graph. To use this formula, estimate from
the graph the amplitude of the wave to the nearest tenth of a centimeter.
Wave Power
y (cm)
15
10
x (cm)
-10
5
10
10
-15
1
u = linear mass density
w = angular frequency
A = amplitude
v = speed of wave
Suppose u = 0.016 kg/m, w = 440_Hz, and v = 8.7 m/s. Then calculate the power of the wave.
%3D
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Chapter 15 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
Ch. 15.1 - Prob. 1AECh. 15.1 - You notice a water Wave pass by the end of a pier...Ch. 15.2 - A wave starts at the left end of a long cord (see...Ch. 15.4 - A wave is given by D(x, t) = (5.0 mm) sin(2.0x ...Ch. 15 - Prob. 1QCh. 15 - Explain the difference between the speed of a...Ch. 15 - Prob. 3QCh. 15 - What kind of waves do you think will travel down a...Ch. 15 - Prob. 5QCh. 15 - Prob. 6Q
Ch. 15 - The speed of sound in most solids is somewhat...Ch. 15 - Give two reasons why circular water waves decrease...Ch. 15 - Prob. 9QCh. 15 - Will any function of (x t)see Eq. 1514represent a...Ch. 15 - When a sinusoidal wave crosses the boundary...Ch. 15 - If a sinusoidal wave on a two-section cord (Fig....Ch. 15 - Is energy always conserved when two waves...Ch. 15 - Prob. 14QCh. 15 - Prob. 15QCh. 15 - Prob. 16QCh. 15 - Prob. 17QCh. 15 - Prob. 18QCh. 15 - When a standing wave exists on a string, the...Ch. 15 - When a cord is vibrated as in Fig. 1525 by hand or...Ch. 15 - AM radio signals can usually be heard behind a...Ch. 15 - Prob. 22QCh. 15 - Prob. 1MCQCh. 15 - Prob. 2MCQCh. 15 - Prob. 3MCQCh. 15 - Prob. 4MCQCh. 15 - Prob. 5MCQCh. 15 - Prob. 6MCQCh. 15 - Prob. 7MCQCh. 15 - Prob. 8MCQCh. 15 - Prob. 9MCQCh. 15 - Prob. 10MCQCh. 15 - Prob. 11MCQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - (I) Calculate the speed of longitudinal waves in...Ch. 15 - (1) AM radio signals have frequencies between 550...Ch. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - (II) Show that the intensity of a wave is equal to...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - (II) A transverse wave pulse travels to the right...Ch. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - (II) Write the equation for the wave in Problem 28...Ch. 15 - (II) A sinusoidal wave traveling on a string in...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - (II) Determine if the function D = A sin k x cos t...Ch. 15 - (II) Show by direct substitution that the...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - (II) A cord has two sections with linear densities...Ch. 15 - (III) A cord stretched to a tension FT consists of...Ch. 15 - (I) The two pulses shown in Fig. 1536 are moving...Ch. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - (I) If a violin string vibrates at 294 Hz as its...Ch. 15 - Prob. 47PCh. 15 - Prob. 48PCh. 15 - (II) The velocity of waves on a string is 96 m/s....Ch. 15 - Prob. 50PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - (II) In Problem 52, Fig. 1537, the length of the...Ch. 15 - Prob. 55PCh. 15 - Prob. 56PCh. 15 - Prob. 57PCh. 15 - Prob. 58PCh. 15 - (II) Plot the two waves given in Problem 58 and...Ch. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - (II) Two oppositely directed traveling waves given...Ch. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - (I) An earthquake P wave traveling 8.0 km/s...Ch. 15 - Prob. 67PCh. 15 - (I) Water waves approach an underwater shelf where...Ch. 15 - Prob. 69PCh. 15 - Prob. 70PCh. 15 - Prob. 71GPCh. 15 - Prob. 72GPCh. 15 - (II) Seismic reflection prospecting is commonly...Ch. 15 - Prob. 74GPCh. 15 - A bug on the surface of a pond is observed to move...Ch. 15 - Prob. 76GPCh. 15 - Prob. 77GPCh. 15 - Prob. 78GPCh. 15 - Prob. 79GPCh. 15 - Prob. 80GPCh. 15 - A transverse wave pulse travels to the right along...Ch. 15 - (a) Show that if the tension in a stretched string...Ch. 15 - Prob. 83GPCh. 15 - Prob. 84GPCh. 15 - Two strings on a musical instrument are tuned to...Ch. 15 - The ripples in a certain groove 10.8 cm from the...Ch. 15 - Prob. 87GPCh. 15 - Prob. 88GPCh. 15 - Prob. 90GPCh. 15 - A highway overpass was observed to resonate as one...Ch. 15 - Prob. 92GPCh. 15 - Estimate the average power of a water wave when it...Ch. 15 - Prob. 94GPCh. 15 - Two wave pulses are traveling in opposite...Ch. 15 - Prob. 96GP
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