Calculating the Equation of a Transverse Wave

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Homework Help Overview

The discussion revolves around calculating the equation of a transverse wave, specifically focusing on parameters such as frequency, wavelength, amplitude, and initial conditions. The original poster presents a wave equation and seeks assistance in determining specific parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the parameters of the wave equation, including amplitude, wavenumber, angular frequency, and phase constant. There is a request for clarification on the meaning of specific parameters and their roles in the equation.

Discussion Status

Some participants have provided definitions of the parameters involved in the wave equation. There is an ongoing exploration of how to incorporate initial conditions into the wave equation, particularly regarding the transverse velocity and height.

Contextual Notes

The original poster has provided specific values for frequency, wavelength, initial height, and transverse velocity but has not fully determined the amplitude or phase constant. The discussion is constrained by the need to adhere to homework guidelines, which may limit the extent of direct assistance offered.

puhdanks
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Write the equation of a transverse wave that has a frequency of 75.0 hz, wavelength of .190m,an initial height of .7m and initial transverse velocity of +350m/s traveling in the negative direction.Also sketch at t=0




y(x,t)=Asin(kx+/-ωt+φ)

K=33.06
ω=472.4rad/s
φ=
A=
x=
y=
that's all i remember how to find

y(x,t)=Asin(33.06x+472.4t+φ)
 
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What parameter in the equation refers to the Amplitude of the wave?
 
A is the amplitude
x is the space coordinate
t is the time coordinate
k is the wavenumber
ω is the angular frequency
φ is the phase constant.
 
Any one?
 
You will also need the equation for the transverse velocity of the wave as function of t and x. Set t=0 and plug the initial height and transverse velocity given in the problem.
 

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