(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Calculate Youngs Modulus for the copper wire

We have done the experiment today, here is the data:

(KG)/F(N)/x(M)

0.1/0.1g/0.0

0.2/0.2g/0.0

0.3/0.3g/0.001

0.4/0.4g/0.001

0.5/0.5g/0.002

0.6/0.6g/0.003

0.7/0.7g/0.004

0.8/0.8g/0.005

0.9/0.9g/0.006

1.0/1.0g/0.009

1.1/1.1g/0.029

1.2/1.2g/0.053

1.3/1.3g/0.089

1.4/1.4g/0.160

Diameter = 0.27mm = 2.7x10^{-4}

Natural Length = 1m

2. Relevant equations

E = FL/AX

gradient = F/X

E = gradient x L/A

3. The attempt at a solution

Radius = 1.4x10^{-4}

A = (pi)(1.4x10^{-4})^{2}

So i take the elastic region to be up to the 1kg load. The gradient of the line is (1g/0.009) = 1090.

The beginning length of the copper wire was 1m

E = 1090 x 1 / A

A = (pi)(1.4x10^-4)^2

E = 1090/(pi)(1.4x10^-4)^2

E = 1.77x10^10 Pa

= 17.7 GPa

According to the internet the young modulus is about 10 times larger than this. Have i gone wrong somewhere?

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# Homework Help: Youngs Modulus. Copper wire experiment

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