Calculating Wave Function for Standing Wave on String

AI Thread Summary
The discussion centers on calculating the wave function for a standing wave created by two identical traveling waves on a string with fixed ends. The user initially proposes a wave function, y(x,t)=(A_sw)(sinkx)(sinwt), and calculates parameters such as amplitude, wave number (k), and angular frequency (w). However, they express uncertainty about the correctness of their calculations, particularly regarding the wave number k. A key point raised is the importance of having the actual wave functions to determine the phase accurately. The user seeks clarification and assistance due to conflicting information from an external source.
Scarborm
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Hey!
Here is one that I thought would be easy:

Two traveling waves move on a string that has a fixed end at x=0. They are identical except for opposite velocities. Each has an amplitude of 2.46mm, a period of 3.65ms, and a speed of 111m/s. Write the wave function of the resulting standing wave.

The wave would be represented by the function, y(x,t)=(A_sw)(sinkx)(sinwt)

My answers were: A_sw=2A=4.92x10^-3m
k=w/v=1720/111=15.5/m
w=2*pi/T=2*pi/(3.65x10^-3)=1720rad/s

This is not right though... any ideas? I am least sure about k.
 
Last edited:
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What makes you think it isn't right?

If you're not given the actual wave functions,
you can't find the phase in sin(wt+phi)
(so you should leave it as arbitrary).
 

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