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## Homework Statement

A rope, under a tension of 209 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by

y=0.49sin(πx/3)sin(12πt)

What are

**(a)**the length of the rope,

**(b)**the speed of the waves on the rope, and

**(c)**the mass of the rope?

**(d)**If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation?

## Homework Equations

T=2π/w

## The Attempt at a Solution

I have solved part a,b,c but I got part d wrong. I simply used T=2π/w

==> T=2π/(12π)=0.1666666...=0.167s

And this is not the correct answer.

Please point out where I did wrong