Wave displacement problem

  • Thread starter Matt H
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  • #1
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Homework Statement



If y(x, t) = (6.7 mm) sin(kx + (705 rad/s)t + ϕ) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = -2.0 mm and y = +2.0 mm?


Homework Equations


I'm not sure where to start.



The Attempt at a Solution


That's the problem.
 

Answers and Replies

  • #2
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Fix the value of x. Easiest value - take x = 0.

Then: y(0,t) = (6.7 mm) sin((705 rad/s)t)

Let y = -2 mm
Thus: 6.7sin(705t) = -2
Now solve for t.

Do the same for y = 2 mm

Subtract the two values (smaller from the larger) to find the time taken to go from one to the other.
 

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