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A rope, under a tension of 167 N and fixed at both ends, oscillates in a...

A rope, under a tension of 167 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by
 y=(0.183 m)sin(π⁢x/4.00)sin(11.0π⁢t).
where x=0 at one end of the rope, x is in meters, and t is in seconds. 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?

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