Calculating Young's Modulus for Iron Wire Experiment

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Homework Help Overview

The discussion revolves around an experiment to calculate Young's Modulus for an iron wire, where weights are applied to stretch the wire. Participants are analyzing the relationship between stress and strain based on experimental data.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of stress and strain, with one participant questioning the correctness of the values obtained. There is an exploration of how to plot the data on a graph and the need for multiple data points for a meaningful representation.

Discussion Status

Some guidance has been offered regarding the calculation of Young's Modulus and the importance of unit consistency. Participants are actively questioning each other's calculations and discussing the implications of having only one data point for graphing.

Contextual Notes

Participants note the specific measurements taken during the experiment, including the diameter and length of the wire, as well as the force applied. There is an indication of uncertainty regarding the calculations and the need for clarification on units and graphing methods.

rit
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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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