A sinusoidal transverse wave of wavelength 21.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 5 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + p). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) ym, (c) k, (d) w, (e) g, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 when t = 3.00 s? y (cm) (s) 14 (a)T positive sine function v (b) Number.02 Units m (c) NumberT 349 UnitsTradlcm or cm^1 Y

University Physics Volume 1
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Chapter16: Waves
Section: Chapter Questions
Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...
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A sinusoidal transverse wave of wavelength 21.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The
scale of the vertical axis is set by ys = 5 cm. The wave equation is to be in the form of
y = Ym sin(kx - wt + p).
(a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) Ym, (c) k, (d) w, (e) o, (f) the sign in front of w, and (g) the wave speed (speed of the wave
along the string) and (h) What is the transverse velocity of the particle at x = 0 when t = 3.00 s?
y (cm)
Ys
t (s)
14
-Ys
(a)i
positive sine function
(b) Number
.02
Units
m
(c) Numberj
UnitsTrad/cm or cm^-1 v
.349
(d) Number
.45
Units
rad/s or s^-1
(e)
(f)
(g) Number"
UnitšT m/s
1.125
(h) NumberT.0112
Units
m/s
Transcribed Image Text:A sinusoidal transverse wave of wavelength 21.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 5 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + p). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) Ym, (c) k, (d) w, (e) o, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 when t = 3.00 s? y (cm) Ys t (s) 14 -Ys (a)i positive sine function (b) Number .02 Units m (c) Numberj UnitsTrad/cm or cm^-1 v .349 (d) Number .45 Units rad/s or s^-1 (e) (f) (g) Number" UnitšT m/s 1.125 (h) NumberT.0112 Units m/s
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