I must use the wave equation to to find the speed of a wave.

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Homework Help Overview

The original poster presents a problem involving the wave equation to determine the speed of a wave, specifically using the provided wave function y(x,t) = (3.0mm) sin [(4.00mm^-1)x - (7.00 s^-1)t].

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants discuss the relevance of the wave equation and the original poster's understanding of derivatives in relation to the wave function. Others question the application of the wave equation and the process of deriving velocity and acceleration from the given function.

Discussion Status

The discussion includes attempts to clarify the use of the wave equation and its components. Some participants have provided insights into the relationship between wave parameters, while others express uncertainty about the derivation process.

Contextual Notes

There is a mention of confusion regarding the application of the wave equation and the need for further understanding of derivatives in the context of wave motion.

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Homework Statement


I must use the wave equation to to find the speed of a wave.

y(x,t) = (3.0mm) sin [(4.00mm^-1)x - (7.00 s^-1)t]




Homework Equations



Here's the wave equation. It has strange symbols.
(∂^2 y) / (∂ x^2) = (1 / v^2) ((∂^2 y)/ (∂^2 t)

The Attempt at a Solution



There's no way that I can attempt this solution if I don't know how to use this formula.
Do I just take the derivative.
 
Last edited:
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Nevermind. I figured it out. V = (w/k)

k= 4.00 mm^-1
w = 7.00 s^-1

V= 7/4 = 1.750 m/s
 
I don't think your relevant equation is relevant for this problem. You have the equation of the wave for y-position as a function of x-position and time. What do you know about taking derivatives of position functions with respect to time?
 
I know how to find Velocity and Acceleration, but when I derive these equations, I have a bit of trouble.
 

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