x,t) = (0.350) sin((0.0500 z)x+ (300.0 x,t) and x are cm and t is in seconds.

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Chapter16: Wave Motion
Section: Chapter Questions
Problem 16.9P
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Please show formulas. I  need help on parts d and e.

1.
An infinitely long string stretching along the x-axis, with a tension = 18.0N,
carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t),
perpendicular to the direction of travel, is:
y(x,1) = (0.350) sin( (0.0500 z)x+ (300.0 r)t). In this equation the units of both
y(x,1) and x are cm and t is in seconds.
a. What is the amplitude of the wave, y, ?
b. What is the frequency of the wave, f?
c. What is the wavelength of the wave, 2?
d. What is the speed of the wave, v?
e. What direction is the wave traveling along the x-axis?
f. At x=1.20 cm and t = 3.56x10s what is the phase, o of the wave?
g. At x=1.20 cm and t = 3.56x10 s what is the displacement y(x,1) of the wave?
h. What is the mass per unit length of the string, 4 ?
Transcribed Image Text:1. An infinitely long string stretching along the x-axis, with a tension = 18.0N, carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,1) = (0.350) sin( (0.0500 z)x+ (300.0 r)t). In this equation the units of both y(x,1) and x are cm and t is in seconds. a. What is the amplitude of the wave, y, ? b. What is the frequency of the wave, f? c. What is the wavelength of the wave, 2? d. What is the speed of the wave, v? e. What direction is the wave traveling along the x-axis? f. At x=1.20 cm and t = 3.56x10s what is the phase, o of the wave? g. At x=1.20 cm and t = 3.56x10 s what is the displacement y(x,1) of the wave? h. What is the mass per unit length of the string, 4 ?
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