The note that is three octaves above middle C is supposed to have a fundamental frequency of 2093 Hz. On a certain piano the steel wire that produces this note has a cross-sectional area of 6.72 x 10-7 m². The wire is stretched between two pegs. When the piano is tuned properly to produce the correct frequency at 25.0 °C, the wire is under a tension of 877.4 N. Suppose the temperature drops to 20.0 °C. In addition, as an approximation, assume that the wire is kept from contracting as the temperature drops. Consequenctly, the tension in the wire changes. What beat frequency is produced when this piano and another instrument (properly tuned) sound the note simultaneously? Steel's coefficient of linear expansion is 12 x 10-6 (Cº)-1 and its Young's modulus is 2 x 1011¹ N/m².

The note that is three octaves above middle C is supposed to have a fundamental frequency of 2093 Hz. On a certain piano the steel wire that produces this note has a cross-sectional area of 6.72 x 10-7 m². The wire is stretched between two pegs. When the piano is tuned properly to produce the correct frequency at 25.0 °C, the wire is under a tension of 877.4 N. Suppose the temperature drops to 20.0 °C. In addition, as an approximation, assume that the wire is kept from contracting as the temperature drops. Consequenctly, the tension in the wire changes. What beat frequency is produced when this piano and another instrument (properly tuned) sound the note simultaneously? Steel's coefficient of linear expansion is 12 x 10-6 (Cº)-1 and its Young's modulus is 2 x 1011¹ N/m².

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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Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

The note that is three octaves above middle C is supposed to have a fundamental frequency of 2093 Hz. On a certain piano the steel
wire that produces this note has a cross-sectional area of 6.72 x 10-7 m². The wire is stretched between two pegs. When the piano is
tuned properly to produce the correct frequency at 25.0 °C, the wire is under a tension of 877.4 N. Suppose the temperature drops to
20.0 °C. In addition, as an approximation, assume that the wire is kept from contracting as the temperature drops. Consequenctly, the
tension in the wire changes. What beat frequency is produced when this piano and another instrument (properly tuned) sound the
note simultaneously? Steel's coefficient of linear expansion is 12 x 10-6 (Cº)-1 and its Young's modulus is 2 x 10¹¹ N/m².

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