One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in place. The tuning peg is turned so as to stretch the wire. The piano wire is made from steel (Y = 2.0x1011 N/m²). It has a radius of 0.68 mm and an unstrained length of 0.85 m. The radius of the tuning peg is 1.2 mm. Initially, there is no tension in the wire, but when the tuning peg is turned, tension develops. Find the tension in the wire when the tuning peg is turned through two revolutions.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 36AP: Why is the following situation impossible? A worker in a factory pulls a cabinet across the floor...
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One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in place. The tuning peg is turned so as
to stretch the wire. The piano wire is made from steel (Y = 2.0x1011 N/m²). It has a radius of 0.68 mm and an unstrained length of
0.85 m. The radius of the tuning peg is 1.2 mm. Initially, there is no tension in the wire, but when the tuning peg is turned, tension
develops. Find the tension in the wire when the tuning peg is turned through two revolutions.
Transcribed Image Text:One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in place. The tuning peg is turned so as to stretch the wire. The piano wire is made from steel (Y = 2.0x1011 N/m²). It has a radius of 0.68 mm and an unstrained length of 0.85 m. The radius of the tuning peg is 1.2 mm. Initially, there is no tension in the wire, but when the tuning peg is turned, tension develops. Find the tension in the wire when the tuning peg is turned through two revolutions.
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