Two transfersal sinusoidal wave

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    Sinusoidal Wave
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Homework Help Overview

The discussion revolves around two transverse sinusoidal waves with specified amplitude and wavelength, traveling in opposite directions along a wire. Participants are tasked with writing the equations for these waves and determining the resultant wave, while also considering the shape of the wire at various time intervals.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to formulate the wave equations and seeks validation of their correctness. Some participants question the clarity of the task regarding the drawing of the wave shape at specific time intervals. Others inquire about the implications of an unknown phase angle "phi" in finding the resultant wave.

Discussion Status

The discussion is active, with participants providing feedback on the equations presented and exploring the implications of assumptions regarding the phase angle. There is no explicit consensus on the value of "phi," and multiple interpretations of the problem are being considered.

Contextual Notes

Participants note potential ambiguities in the problem statement, particularly regarding the phase angle and the requirement to draw the wave shape at integer time values.

dado
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Homework Statement


Two transfersal sinusoidal wave of amplitude 0.5 cm and 8 cm wavelength traveling in opposite
directions along the wire. Wave speed in the wire is 1.2 m / s. Write the equation of these two transfersal wave equation and find the resultant wave. Draw the shape of wire at time t = 0, 1, 2, ... s.

Homework Equations


s=A+sin(wt-kx)

The Attempt at a Solution


I did this
s1= 0,5*sin(30*pi*t - (pi*x)/4)
s2= 0,5*sin(30*pi*t + (pi*x)/4 + phi)
phi is an angle.

Did I wrote those equations right or not?
 
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It is correct except the mistype in the first equation (+ instead of *).

The question to draw the shape at integer t values is weird (why?).
 
thanks. How to find resultant wave if I don't know "phi"?
 
I think the problem meant phi=0, it would have been given otherwise.

ehild
 

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