Finding Tension in a Transverse Wave on a String

AI Thread Summary
To find the tension in a transverse wave on a string, the wave speed must first be determined from the given wave equation. The amplitude of the wave is not relevant for calculating tension, as the focus should be on the relationship between wave speed and tension. The tension in the string can be derived using the formula that relates wave speed, tension, and mass per unit length. Understanding these relationships is crucial for solving the problem effectively. The discussion emphasizes the importance of correctly identifying relevant equations and concepts in wave mechanics.
manyo2013
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Homework Statement


A transverse pulse is propagating on a 2.0 m long string of mass 50 g. The pulse is
described by the equation:

y(x,t)=pi/(pi+(3x/2+pi(t))^2)

, with x and y in meters, and t in seconds.
Find the tension in the string.

Homework Equations


y=asin(wt+thetha)[/B]

The Attempt at a Solution


I first tried finding the amplitude of the wave, and at then I would have the displacement. After the displacement i don't know what to do. How doees this even relate to tension?
 
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You are going about this the wrong way, the amplitude is completely irrelevant and your "relevant" equation is not either because it describes a sine wave and your wave is not a sine wave.

Ask yourself the following:
What is the speed of the wave?
How does the speed of the wave relate to the tension?
 
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