A steel cable has a cross-sectional area 2.61 10-3 m2 and is kept under a tension of 1.04 104 N. The density of steel is 7860 kg/m3. Note that this value is not the linear density of the cable. At what speed does a transverse wave move along the cable?

A steel cable has a cross-sectional area 2.61 10-3 m2 and is kept under a tension of 1.04 104 N. The density of steel is 7860 kg/m3. Note that this value is not the linear density of the cable. At what speed does a transverse wave move along the cable?

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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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

A steel cable has a cross-sectional area 2.61 10^-3 m² and is kept under a tension of 1.04 10⁴ N. The density of steel is 7860 kg/m³. Note that this value is not the linear density of the cable. At what speed does a transverse wave move along the cable?

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