Here\'s the problem statement: A sinusoidal transverse wave is traveling along a

Question

Here's the problem statement:

A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure below shows a plot of the displacement as a function of position at time t = 0. The x axis is marked in increments of 5 cm and the y axis is marked in increments of 0.5 cm. The string tension is 3 N, and its linear density is 30 g/m.

(insert graph here)

The graph only shows time T=0, so it's not helpful to figure out the speed.

I guess then I'm supposed to find the speed from the string tension/density. How do I do that?

I'm trying to catch up in this class so this is probably a really dumb question.

Explanation / Answer

Wave speed v, is given by:

v=√(T/µ)

where T=tension and  µ=linear mass density of string.

Here, T=3 N

 µ=30g/m=0.03kg/m

Therefore, v=√(T/µ)=√(3/0.03)=√100=10 m/s.

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