Wave Amplitude and Knot Movement

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Homework Help Overview

The discussion revolves around a wave traveling along a stretched string, specifically focusing on the wave's travel distance over a time interval and the movement of a knot on the string in relation to the wave's amplitude and frequency.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the distance traveled by the wave and is uncertain about how to determine the distance a knot on the string travels, suggesting a connection to the amplitude. Other participants question how to relate the frequency of amplitude peaks to the distance traveled by the knot.

Discussion Status

Participants are exploring the relationship between wave properties and knot movement, with some guidance provided on considering the frequency of amplitude peaks. There is an ongoing inquiry into how to calculate the knot's travel distance based on the given parameters.

Contextual Notes

There is a focus on the distinction between the wave's travel distance and the knot's movement, with emphasis on the amplitude and frequency of the wave. The original poster has provided a calculation for part (a) but is seeking clarification for part (b).

Hughey85
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A 4.0 Hz wave with an amplitude of 12 cm and a wavelength of 30.0 cm travels along a stretched string.

(a) How far does the wave travel in a time interval of 3.0 s?
m

(b) How far does a knot on the string travel in the same time interval?
m


I got the answer to part (a) by using: x= lambda x (time/frequency)
The answer I got for it was 3.6 m.
I don't know what to do for part (b) Something to do with the amplitude, but I'm not sure...pls help! Thanks!
 
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Consider that a knot on the string reaches its amplitude peak four times each second. (also remember that a point on a string is not displaced horizontally when the string undergoes wave motion).
 
ok...so, how would I figure (b) out? Since the amplitude is reached 4 times in a second, and the time interval is 3 seconds, and the amplitude is 12 cm, how would you figure out the distance traveled?
 
Just a small refrase of your last message:

you reach the amplitude of 12 cm 4 times per second for an interval of 3 seconds...

This might enable you to see the answer...

Regards,
Leo
 

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