How Do You Calculate the Phase Constant φ from a Wave Displacement Graph?

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Homework Help Overview

The discussion revolves around calculating the phase constant φ from a wave displacement graph, specifically for a wave described by the equation y(x, t) = ym sin(kx - ωt + φ). The original poster provides a specific scenario involving a displacement versus time graph for a point on a string.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the phase constant φ by analyzing the graph, noting the displacement at t = 0 seconds and questioning how to find the time and angular frequency ω. Other participants point out issues with the graph display, which may hinder the discussion.

Discussion Status

The discussion is ongoing, with participants raising questions about the graph's visibility and the original poster's approach to identifying the necessary parameters for calculating φ. Some guidance has been offered regarding the displacement at t = 0 seconds, but no consensus has been reached on the overall method or interpretation.

Contextual Notes

There are constraints related to the visibility of the graph, which is crucial for understanding the wave's behavior. The original poster also mentions uncertainty about how to derive time and angular frequency from the provided information.

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Warning! Posting template must be used for homework questions.
1. The figure shows the displacement y versus time t of the point on a string at x = 0, as a wave passes through that point. The scale of the x axis is set by ys = 18.0 mm.The wave has form y(x, t) = ym sin (kx - ωt+φ). What is φ?
http://edugen.wileyplus.com/edugen/courses/crs7165/art/qb/qu/c16/pict_16_62.gif
2. y(x, t) = ym sin (- ωt+φ)3. reading off my graph, it crosses the Y axis at 6mm, i used that as my Y(x,t) and 18 as my Ym, but i have no idea how to get the time or omega
 
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Your graph did not display.
 
At t = 0 seconds the displacement is +6 mm and you have ym.
 

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