(Solution) - With particular experimental methods -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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With particular experimental methods, it is possible to produce and observe in a long thin rod both a longitudinal wave and a transverse wave whose speed depends primarily on tension in the rod. The speed of the longitudinal wave is determined by the Young?s modulus and the density of the material as. The transverse wave can be modeled as a wave in a stretched string. A particular metal rod is 150 cm long and has a radius of 0.200 cm and a mass of 50.9 g. Young?s modulus for the material is 6.80 & 1010 N/m2. What must the tension in the rod be if the ratio of the speed of longitudinal waves to the speed of transverse waves is 8.00?