1. An infinitely long string stretching along the x-axis, with a tension t =18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,t) = (0.350) sin((0.0500 7)x+(300.0 7)t). In this equation the units of both y(x,t) and x are cm and t is in seconds. a. What is the amplitude of the wave, ym ? b. What is the frequency of the wave, f ? c. What is the wavelength of the wave, 1?
1. An infinitely long string stretching along the x-axis, with a tension t =18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,t) = (0.350) sin((0.0500 7)x+(300.0 7)t). In this equation the units of both y(x,t) and x are cm and t is in seconds. a. What is the amplitude of the wave, ym ? b. What is the frequency of the wave, f ? c. What is the wavelength of the wave, 1?
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Please show formulas. I need help with part a, b, and c.
Transcribed Image Text:1.
An infinitely long string stretching along the x-axis, with a tension 7 =18.0N ,
carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t),
perpendicular to the direction of travel, is:
y(x,t) = (0.350) sin((0.0500 t )x+ (300.0 7)t). In this equation the units of both
y(x,t) and x are cm and t is in seconds.
a. What is the amplitude of the wave, ym
?
b. What is the frequency of the wave, f ?
What is the wavelength of the wave, 2 ?
d. What is the speed of the wave, v?
What direction is the wave traveling along the x-axis?
f. At x =1.20 cm and t = 3.56×10s what is the phase, o of the wave?
С.
е.
g. At x =1.20 cm and t = 3.56×10*s what is the displacement y(x,t) of the wave?
h. What is the mass per unit length of the string, u ?
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