Two pieces of steel wire have lengths of L and 4L. The longer wire has a larger cross section which makes the wire four times thicker if you consider the same length as the first one. The wires are each fixed at both ends and stretched so that the tension in the longer wire is sixteen times greater than in the shorter wire. If the fundamental frequency in the shorter wire is 100 Hz, what is the frequency of the second harmonic in the longer wire?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 15P: A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are...
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Two pieces of steel wire have lengths of L and 4L. The longer wire has a larger cross section which makes the wire four times thicker if you consider the same length as the first one. The wires are each fixed at both ends and stretched so that the tension in the longer wire is sixteen times greater than in the shorter wire. If the fundamental frequency in the shorter wire is 100 Hz, what is the frequency of the second harmonic in the longer wire?

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