Wave function at origin on transverse wave

AI Thread Summary
The discussion centers on determining the wave function of a transverse wave given by the equation y(x,t)=Acos(10∏t+5x) at the origin. The participants clarify that "at the origin" refers to the point where x=0 and t varies. The correct interpretation leads to the conclusion that the wave function at the origin is y(0,t)=Acos(10∏t). This was confirmed through communication with a teacher. The final answer emphasizes the importance of understanding the context of the question.
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Homework Statement


You have the simple harmonic equation for a transverse wave which is y(x,t)=Acos(10∏t+5x), what is the wave function at the origin

The Attempt at a Solution


By "at the origin" does it mean where x=0 and t=0. Because it that case y=Acos0 and therefore y=A. Is that right?
 
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I would interpret it to mean to let x = 0 and let t vary, but your interpretation may also be what was meant.
 
I am sure the question wants you take it as when x = 0 and t various
so y(0,t)=Acos(10∏t) = wave function at origin.
 
Thanks guys, I talked to my teacher and i can safely conclude the answer is y(0,t)=Acos(10∏t)
 

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