Please show formulas. I need help with part g. 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 bothy(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 ?

Answered: 1. An infinitely long string stretching…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Please show formulas. I need help with part g.

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 ?

Expert Solution

Step 1 :Introduction

The general formula for transverse waves is described by using the function $y (x, t) = A \sin (k x + ω t + ϕ)$ , where A is the amplitude of the wave , $k = \frac{2 π}{λ}$ is the wave number , $ω = 2 π f$ is the angular frequency and $ϕ$ is the phase angle .

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