A 90 cm-long steel string with a linear density of 1.1 g/m is lder and vibrates at its fundamental frequency. a. Determine the fundamental frequency of vibration. b. What is the wavelength of the sound wave that reaches your ear in a 20° C room? più

A 90 cm-long steel string with a linear density of 1.1 g/m is lder and vibrates at its fundamental frequency. a. Determine the fundamental frequency of vibration. b. What is the wavelength of the sound wave that reaches your ear in a 20° C room? più

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

### Physics Problem: Vibrations of a Steel String

A 90 cm-long steel string with a linear density of 1.1 g/m is under 100 N tension. It is plucked and vibrates at its fundamental frequency.

#### Questions:

**a.** Determine the fundamental frequency of vibration.

**b.** What is the wavelength of the sound wave that reaches your ear in a 20°C room?

---

To solve this problem, follow the steps in your physics textbook regarding wave and vibration analysis. Use the relevant equations for tension, linear density, string length, and sound wave calculations under given conditions.

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