How fast is wave travelling from graph

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SUMMARY

The wave speed can be calculated using the formula v = λ/T, where λ is the wavelength and T is the period. In this discussion, the wavelength (λ) is determined to be 3 meters, and the period (T) is 4 seconds. Consequently, the wave speed (v) is calculated as 0.75 m/s. This approach effectively utilizes the relationship between wavelength, period, and wave speed to solve the problem.

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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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