How fast is wave travelling from graph

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Homework Help Overview

The problem involves determining the speed of a traveling wave based on its displacement as a function of time and position, using the relationship between wavelength and period.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevant equation for wave speed, v = λ/T, and explore how to extract wavelength and period from the provided graphs. Some express uncertainty about how to approach the problem.

Discussion Status

There is ongoing exploration of the problem with some participants providing guidance on using the graphs to find necessary values. Multiple interpretations of the graphs and their implications for the wave's properties are being considered.

Contextual Notes

Participants note the need to determine specific values for wavelength and period from the graphs, which are essential for calculating wave speed. There is an indication of time constraints affecting the discussion.

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Homework Statement



The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. How fast is the wave traveling?


Untitled.jpg



The Attempt at a Solution



I'm totally lost with this question. How should I approach this?

v = λ/ T
 
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negation said:

Homework Statement



The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. How fast is the wave traveling?


View attachment 67578


The Attempt at a Solution



I'm totally lost with this question. How should I approach this?

v = λ/ T

You've nailed it with your relevant equation. (By that I mean your "v = λ/T" equation is exactly the one you want to use.) :smile:

With one of the graphs, you should be able to figure out the wavelength, λ. In other words, answer, "how long is one wavelength?" Still in other words, "how many meters is one period of the wave?"

With the other graph, you should be able to figure out the period of the wave. In other words, answer, "how long does it take (in seconds) for the wave to cycle through one wavelength?" Or, "how many seconds is one period?"
 
collinsmark said:
You've nailed it with your relevant equation. (By that I mean your "v = λ/T" equation is exactly the one you want to use.) :smile:

With one of the graphs, you should be able to figure out the wavelength, λ. In other words, answer, "how long is one wavelength?" Still in other words, "how many meters is one period of the wave?"

With the other graph, you should be able to figure out the period of the wave. In other words, answer, "how long does it take (in seconds) for the wave to cycle through one wavelength?" Or, "how many seconds is one period?"

Been very busy lately and it struck me that I left out thinking about this question.

lamda = 3m
T = 4s
v = 3/4 = 0.75ms^-1

Very sure this is correct.
 
Last edited:
'Looks correct to me. :approve:
 
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