Calculating Young's Modulus for Iron Wire Experiment

AI Thread Summary
The discussion centers on calculating Young's Modulus for an iron wire experiment, where weights were applied to stretch the wire. The user calculated strain and stress, arriving at a Young's Modulus value of approximately 8918.92. However, there were concerns about the accuracy of the calculations and the need for proper unit conversions. Additionally, the user sought guidance on how to plot the data on a graph, as only one data point was provided. Clarification on the formula and units for stress and strain was also discussed.
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Homework Statement



I had to do an experiment and create a graph with the data.
We attached one end of the Iron wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the Iron wire and so it stretches. (as pizza1512 did but in copper)

Homework Equations



Diameter of wire: 0.31mm (therefore area is 0.302mm²)
Length of wire: 2m70cm (270cm)

The Attempt at a Solution



i worked out that if u apply 100g (1Newton force)
1/2700= 3.7x10^-4 (not sure if right)

And stress is
1/0.302= 3.3

I worked out the Youngs Modulus
3.3/(3.7x10^-4) and i got 8918.92

is that right?
and how do i plot it on a graph
 
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rit said:

Homework Statement



I had to do an experiment and create a graph with the data.
We attached one end of the Iron wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the Iron wire and so it stretches. (as pizza1512 did but in copper)

Homework Equations



Diameter of wire: 0.31mm (therefore area is 0.302mm²)
Length of wire: 2m70cm (270cm)

The Attempt at a Solution



i worked out that if u apply 100g (1Newton force)
1/2700= 3.7x10^-4 (not sure if right)

And stress is
1/0.302= 3.3

I worked out the Youngs Modulus
3.3/(3.7x10^-4) and i got 8918.92

is that right?
and how do i plot it on a graph


How did you work that out? From what? What are the units of that expression?
 
It is for Strain.
it extended by 1mm
so,
1mm/2700mm (length of wire) =3.7^-4
 
rit said:
It is for Strain.
it extended by 1mm
so,
1mm/2700mm (length of wire) =3.7^-4

E = \frac{\sigma}{\epsilon} = \frac{F*L}{A_o*\Delta L} = \frac{1N * 2.7m}{.302*10^{-6}m^2*.001m}

Straighten out your units.

All you have provided is one data point so I'm not sure what kind of graph you're talking about.
 
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