Wave: amplitude, frequency, wavelength

AI Thread Summary
When a boy flicks a string harder, the amplitude of the wave increases due to the added energy, but the speed remains unchanged because it depends on the medium. The frequency and wavelength do not change as the medium (the rope) remains constant. Confusion arises regarding the relationship between amplitude, wavelength, and frequency, particularly in the context of pendulums and waves. The discussion clarifies that for a pendulum, the period remains constant regardless of amplitude, while the original question focuses on a traveling transverse wave in a string. Understanding how to find wavelength from a pendulum remains a separate inquiry.
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
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

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