What Could Be Wrong with My Wave Function Equation?

AI Thread Summary
The discussion revolves around the correct formulation of the wave function for a simple harmonic oscillator generating a wave on a rope. The user initially derives the wave function as y(x,t)=3cos(8πx-80πt) but receives feedback indicating the equation is incorrect. Key points of confusion include the calculation of wavelength and ensuring the amplitude is expressed in meters rather than centimeters. The correct amplitude should be 0.03 m, and the user is prompted to clarify how they calculated the wavelength. The thread emphasizes the importance of unit conversion and accurate calculations in wave function equations.
lina29
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A simple, harmonic oscillator at the point x=0 generates a wave on a rope. The oscillator operates at a frequency of 40 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of 50.0 g/m and is stretched with a tension of 4.50 N.

Write the wave function y(x,t) for the wave moving in +x-direction. Assume that the oscillator has its maximum upward displacement at time t=0.

I know to write the wave function I use the equation y(x,t)=Acos(kx-wt)
where A=3, k=2pi/\lambda=8pi, w=2pif=80pi

So I got the equation y(x,t)=3cos(8pi x-80pi t)

However when I put it in it says the equation is wrong

Can anyone help me in figuring out what I missed?
Thanks
 
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How did you calculate the wavelength?
 
Make sure the amplitude is in meters, so 0.03 should be the amplitude
 
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