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A wave travels along a wire: Find the maximum particle speed of points on the wire.

A wave travels along a wire at 5 m/sec toward +x. SEE ATTACHMENT #1 for a diagram showing y and t axis system with scale values.

PART a. Using information shown on the diagram, write y(x,t) in terms of k and (omega), with numbers for the constants.
PART b. When t= 3 sec, and at x= 7 m, find y.
PART c. At location x= 2.8 m, when y= -4 m, find the time t.
PART d. Find the maximum particle speed of points on the wire.

Attachments

Solution Preview

PART a.
The period is read from the t scale, and the amplitude is read from the y scale. Use auxiliary relationships k= 2 Pi / (lambda) and v= f (lambda) and write y(x,t).

PART b.
Using the ...

Solution Summary

With explanation and calculations, the problems are solved.

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