A rope under a tension of 90n and fixed at both ends, Ask an Expert

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A rope, under a tension of 90N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given below where x=0 at one end of the rope, x is in meters, and t is in seconds. y= (0.30 text(m))(sin((pix)/7))sin(6 pit)

(a) What is the length of the rope?

(b) What is the speed of the waves on the rope?

m/s

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

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