Wave: amplitude, frequency, wavelength

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SUMMARY

The discussion centers on the physics of waves, specifically how amplitude, frequency, and wavelength are affected when a boy flicks a string harder. It is established that increasing the amplitude of a wave does not change its speed, as speed is dependent on the medium. The formula V = f x λ is referenced, indicating that if the speed remains constant, changes in amplitude do not affect frequency or wavelength. The confusion regarding wavelength in relation to a pendulum is clarified, emphasizing that the wavelength is not directly related to the pendulum's amplitude.

PREREQUISITES
  • Understanding of wave properties: amplitude, frequency, and wavelength
  • Familiarity with the wave equation: V = f x λ
  • Basic knowledge of pendulum motion and its characteristics
  • Concept of transverse waves and their behavior in different media
NEXT STEPS
  • Research the relationship between amplitude and energy in waves
  • Explore the characteristics of transverse waves in different mediums
  • Study the mathematical derivation of wave speed in various contexts
  • Investigate the concept of wavelength in oscillatory motion, particularly in pendulums
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the principles of oscillatory motion and wave behavior.

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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