Answered: A string 2.5 m long (weighing 2 N) is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter14: Sound

Section: Chapter Questions

Problem 47P: A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the...

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Question

A string 2.5 m long (weighing 2 N) is hanging from the ceiling. You attach a mass 10 kg to the lower end. You attach an oscillator at the top which vibrates from side to side with an amplitude 3 cm and frequency 50 Hz. What would be the wavelength of the transverse waves in the string?

a) .346 m b) .231 m c) .692 m

Expert Solution

Step 1

Find the speed of the transverse wave.

$\begin{array}{rcl} v & = & \sqrt{\frac{F}{μ}} \\ = & \sqrt{\frac{F}{\frac{m}{L}}} \\ = & \sqrt{\frac{2}{\frac{10}{2.5}}} \\ = & 0.707 m/s \end{array}$

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