A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 4.2 N, and its linear density is 23 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string.If the wave is of the form Y(x,t) = Ym sin(kx - wt + p), what are (f) k, (g) w, and (h) P, and (1) the correct choice of sign in front of w? y (cim) -2 -4 x (cm) (a) Number Units 5. (b) Number 40 Units (c) Numbel 13.51 Units Tm/s (d) Numbel0.0296 Units (e) Numbel 10.61 Units Tm/s (f) Numbela Units 716 Trad/m or m^-1 (g) Numbel T212.24 Units Trad/s or s^-1 (h) Number 53.13 Units T

Principles of Physics: A Calculus-Based Text
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Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 14P: A transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x...
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A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as
a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 4.2 N, and its linear density is 23 g/m. Find the (a)
amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the
string.If the wave is of the form
y(x,t) = Ym sin(kx - wt + p),
what are (f) k, (g) w, and (h) p, and (i) the correct choice of sign in front of w?
(ст)
40
-2
x (cm)
(a) Number
[5
Units
(b) Number
40
Units
(c) Numbel3 51 Units
m/s
(d) Numbel
T0.0296
Units
(e) Numbel
10.61 Units
m/s
(f) Numbel
716
Units
Trad/m or m^^-1
(g) Numbel
T212.24
Units Trad/s or s^-1
(h) Number
53.13
Units
Transcribed Image Text:A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 4.2 N, and its linear density is 23 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string.If the wave is of the form y(x,t) = Ym sin(kx - wt + p), what are (f) k, (g) w, and (h) p, and (i) the correct choice of sign in front of w? (ст) 40 -2 x (cm) (a) Number [5 Units (b) Number 40 Units (c) Numbel3 51 Units m/s (d) Numbel T0.0296 Units (e) Numbel 10.61 Units m/s (f) Numbel 716 Units Trad/m or m^^-1 (g) Numbel T212.24 Units Trad/s or s^-1 (h) Number 53.13 Units
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