Finding Tension in a Piano Wire Wrapped Around a Tuning Peg

Thread starter jmccray
Start date Jun 2, 2006
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Piano Tension Tuning Wire

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To find the tension in a piano wire wrapped around a tuning peg after two revolutions, the wire's modulus of elasticity (Y = 2.0 x 10^10 N/m^2), radius (0.80 mm), and length (0.76 m) are crucial. The radius of the tuning peg (1.8 mm) affects the amount of wire wrapped and thus the tension generated. When the peg is turned, the wire experiences a torque that leads to tension, which can be calculated using the relationship between torque, radius, and the modulus of elasticity. The problem requires showing work to clarify the calculations involved in determining the tension. Understanding these principles is essential for solving the tension problem accurately.

Jun 2, 2006

jmccray

A piano wire (Y=2.0*10^10 N/m^2) has a radius of 0.80 mm and a length of 0.76 m. One end of the wire is wrapped around a tuning peg whose radius is 1.8 mm. The other end is fixed in place. Initially, there is no tension in the wire. Find the tension when the peg is turned through 2 revolutions.

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Jun 2, 2006

siddharth

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