Wave: amplitude, frequency, wavelength

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Homework Help Overview

The discussion revolves around understanding wave properties in the context of a boy flicking a string, specifically focusing on changes in amplitude, frequency, and wavelength. The subject area includes wave mechanics and pendulum motion.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between amplitude, speed, frequency, and wavelength, questioning how these properties change with increased energy input. There is confusion about the definition of wavelength in relation to pendulum motion and how it applies to the scenario of a flicked string.

Discussion Status

Some participants have provided insights into the nature of pendulum motion and its characteristics, while others seek clarification on how to determine wavelength from a pendulum's motion. The discussion is ongoing with multiple interpretations being explored regarding the effects of the flick on wave properties.

Contextual Notes

There is a lack of clarity regarding whether the string is being treated as a pendulum or as a medium for a traveling wave. Participants are also questioning the assumptions about the relationship between amplitude, frequency, and wavelength in the context of the problem.

ahchew1413
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Homework Statement


Original question: A boy flicked a string harder, describe the changes of the waveform and the speed of the wave.


Homework Equations


V = f x λ
Frequency is how many completed oscillation per second.
Wavelength is distance between two adjacent points of the same phase on a wave.


The Attempt at a Solution


My answer: Amplitude will increase, and speed remain unchanged. Flicked harder, more energy received, amplitude bigger. Speed depend on medium, so unchanged.

My confusion:
1. The displacement of pendulum is amplitude, how to find wavelength from there?
Let said From A to B to C to B to A. Is the wavelength is the distance move by the pendulum along the path?


2. If the amplitude turn bigger but the speed remain, it should take more time to go up and down, so wavelength become shorter?

3. By assume statement 2 is correct, according to the formula, frequency should be higher. Am I right


Very confused.
ahchew1413
 
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I still can't understand how to find wavelength from the pendulum. Can you kindly explain a bit.

thanks,
ahchew
 
More information needed. Is this string as a pendulum, and the boy makes the pendulum swing wider? Or is this a traveling transverse wave being sent down a string by a flick? Or is it a stretched string with a standing transverse wave?
 
hi haruspex:

The original question regarding the wave:
It is a traveling transverse wave being sent down a string by a flick. The boy create a transverse wave the a rope, then, he flicked harder to see the changes.

Why the flick does not change the frequency and wavelength? Was it because the medium (the rope) does not change, as a result, speed does not change. So, frequency and wavelength does not change also?



Other question that not related to original question.
How do we find the wavelength from a pendulum?

thanks,
ahchew
 

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