Wavelengths introduction please

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Homework Help Overview

The discussion revolves around understanding the relationships between frequency, amplitude, wavelength, period, and time in the context of wave motion on a string. The original poster presents a specific problem involving a wave with given parameters and seeks clarification on the concepts involved.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of wave velocity using frequency and wavelength, and how to apply this to determine distance traveled over a time interval. There is confusion regarding the interpretation of how a knot on the string behaves in relation to the wave motion.

Discussion Status

Some participants have provided guidance on the first part of the problem, while there is ongoing uncertainty about the second part regarding the movement of a knot on the string. Multiple interpretations of the question are being explored, particularly concerning the nature of the knot's motion.

Contextual Notes

There is a lack of clarity regarding the second part of the question, specifically what is meant by the movement of a knot on the string, which may affect the understanding of the problem.

jwang023
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Homework Statement



So, I was wondering how I can correlate frequency, amplitude, wavelength, period, and time with each other. I'm trying to solve this problem. A 4.5 Hz wave with an amplitude of 12 cm and a wavelength of 27 cm travels along a stretched horizontal string. a) how far does a given peak on the wave travel in a time interval of 0.50 seconds? b)how far does a knot on the string travel in the same time interval?
I just would like the basic conceptions explained so I can try to figure this problem out myself! Thanks.

Homework Equations





The Attempt at a Solution

 
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For the first part, you know that the velocity is given by the wavelength multiplied by the frequency. Once you have the velocity, you multiply it with the time interval to get the distance.

I'm confused about what the question is referring to in the second part.
 
Thanks for the help on the first part. The second part of the question was asking, "how far does a knot on the string travel in the same time interval?" Personally, I'm quite confused with the second part as well. Is it asking if there was a knot tied into the string?
 
A knot represents a "fixed" point on the string. It will oscillate up and down, but not travel along the string. The amplitude and frequency determine how a knot would move.
 

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