Calculating Tension Required for 4*10^-4m Extension of Steel Wires on a Violin

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To calculate the tension required for a 4*10^-4m extension of steel wires on a violin, the Young's Modulus formula E = (F*L)/(e*A) is relevant, where E is the Young's Modulus, F is the force (tension), L is the original length, e is the extension, and A is the cross-sectional area. The Young's Modulus of steel is given as 2.0*10^11 Pa, and the cross-sectional area of the wires is 5.1*10^-7m^2. To find the tension, the relationship between stress (force per unit area) and strain (extension per unit length) must be applied. The discussion highlights the need to clarify definitions of stress and strain to proceed with the calculation. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement



The wires on a violin have a cross section of 5.1*10^-7m^2. The wires are put under tension by turning the wooden pegs. The Young Modulus of Steel is 2.0*10^11 Pa.
Calculate the tension required to produce an extension of 4*10^-4m.


Homework Equations



Thats where I'm stuck

The Attempt at a Solution

 
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Do you know a formula with stress and strain in it?
Do you know the definition of stress and strain?
These are what you need to use.
 
Last edited:
oh, of course. E=(F*L)/(e*A)
 
no, wait, wrong one, lol
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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