Transverse Wave Homework Problem

AI Thread Summary
The discussion centers on solving a homework problem involving a transverse wave described by the function y(x, t) = (15.0 cm) cos(πx - 12πt). The main goal is to determine the transverse speed of a point on the string when its displacement is 12.0 cm. Participants emphasize the need to identify the specific point in time and space corresponding to the given displacement before applying the wave equation. The maximum transverse velocity is noted as w*A, where w is the angular frequency and A is the amplitude. The urgency of the situation is highlighted by the mention of an impending final exam.
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Homework Statement


The function y(x, t) = (15.0 cm) cos(\pix - 12\pit), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = 12.0 cm?


Homework Equations


I know that the equation of the wave is given above and the max transverse velocity is w*A and the max transverse acceleration is w^2*A and I know how to get the velocity of the wave in the x direction (propagation)




The Attempt at a Solution


I'm not sure where to even start, I think I need to find where 12.0cm is in reference to either distance or time, then I could just plug it into the wave equation, I'm just not sure how to get there. Any help would be greatly appreciated!
 
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please guys! i have a final on this friday! anyone?
 

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