Wavelengths introduction please

AI Thread Summary
The discussion focuses on understanding the relationship between frequency, amplitude, wavelength, period, and time in wave mechanics. A specific problem involving a 4.5 Hz wave with a 12 cm amplitude and a 27 cm wavelength is presented, asking for the distance a wave peak and a knot on the string travel in 0.50 seconds. The solution for the first part involves calculating wave velocity by multiplying wavelength and frequency, then using that to find distance. The second part raises confusion about the movement of a knot, which is clarified as a fixed point that oscillates vertically but does not travel horizontally along the string. Overall, the thread emphasizes the importance of grasping basic wave concepts to solve the problem effectively.
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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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