Deriving the 2nd Equation on Wave Longitudinal Velocity

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Homework Help Overview

The discussion revolves around the derivation of the second equation for the longitudinal velocity of waves, specifically comparing it to the first equation, which relates wave velocity to wavelength and frequency. Participants are exploring the underlying principles of wave motion and the characteristics of the medium involved.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning whether the second equation can be derived from the first and discussing the physical context necessary for such a derivation. There is also an exploration of the properties of the medium and how they relate to wave velocity.

Discussion Status

The discussion is ongoing, with some participants providing insights into the nature of the equations and the assumptions required for derivation. There is recognition that the first equation is a general property of waves, while the second is more specific to the medium's characteristics.

Contextual Notes

One participant noted the lack of information regarding the physical situation, which is crucial for addressing the derivation of the second equation. This highlights a potential gap in the original poster's setup.

dibilo
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i've found 2 equations on longitudinal velocity of waves v=lambda*freq and v=Lsqrt(k/m). is the 2nd equation derived from the 1st? if not how do you derive it? thx.
 
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The first is a general property of waves but the second appears to be based on the properties based on the properties of the medium. You gave no indication of what the physical situation is so it would be impossible to address derivation.
 
oh lol.. i just found these 2 equations in my textbook and was wondering how is the 2nd equation dervived... anyway thanks for the reply
 
The first equation is just pure logic, the total distance traveled by a wave per second is just the number of cycles per second times the wavelength.

The second equation is derived by modelling a medium as a series of discrete particles, then solving the equation of motion of these particles, which can then be used to derive a value for v using the wave equation.

Claude.
 

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