Easy problem that i dont understand

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Homework Help Overview

The problem involves a transverse wave pulse described by a mathematical function, with the task of expressing this function in terms of both position and time as the wave travels in the positive x direction at a specified speed.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the wave function at t=0 and its representation as it travels over time. Questions are raised about the relevance of the wave speed and the form of the function f(x-vt).

Discussion Status

Some participants have provided guidance on how to approach the problem, indicating that the original function can be modified to account for the wave's movement. There are differing interpretations of the initial understanding of wave functions and their representations.

Contextual Notes

Participants express uncertainty about the application of the wave speed to the function and the meaning of the terms used in the context of wave motion.

nemzy
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At t = 0, a transverse wave pulse in a wire is described by the following function where x and y are in meters.

y=6/(x^2+3)


Write the function y(x, t) that describes this wave if it is traveling in the positive x direction with a speed of 2.50 m/s.

all i know that in the positive x direction f(x-vt) is the wavelength...but how is this relevant to this question?

i have no idea how to solve this
 
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nemzy said:
At t = 0, a transverse wave pulse in a wire is described by the following function where x and y are in meters.

y=6/(x^2+3)


Write the function y(x, t) that describes this wave if it is traveling in the positive x direction with a speed of 2.50 m/s.

all i know that in the positive x direction f(x-vt) is the wavelength...but how is this relevant to this question?

i have no idea how to solve this

You know wrong: f(x-tv) is not the wavelength. A wave traveling in the positive x direction is represented by a function f(x-vt).

Your y(x) function is the same as this f(x,t) at t=0.

ehild
 
nemzy said:
At t = 0, a transverse wave pulse in a wire is described by the following function where x and y are in meters.

y=6/(x^2+3)


Write the function y(x, t) that describes this wave if it is traveling in the positive x direction with a speed of 2.50 m/s.

all i know that in the positive x direction f(x-vt) is the wavelength...but how is this relevant to this question?

i have no idea how to solve this
You have all the elements of the answer.
A wave traveling to the right at a speed v is obtained from the shape of the wave at t=0 by replacing x by x-vt. So simply replace x by (x-2.50 t) in your function and you get the function at any time. That's all.

Pat
 
thanks answer is right
 
Last edited:

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