# Young's Modulus of iron wire (1 Viewer)

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#### magma_saber

1. The problem statement, all variables and given/known data
A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3.

Based on these experimental measurements, what is Young's modulus for this alloy of iron?

2. Relevant equations
Y = $$\frac{F/A}{dL/L}$$

3. The attempt at a solution
What is F? Is it the mass of one mole times gravity?
F = 0.056kg x 9.8 m/s2
A = 2.54e-6
dL = 0.0112
L = 2.2

#### PhanthomJay

Homework Helper
Gold Member
1. The problem statement, all variables and given/known data
A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3.

Based on these experimental measurements, what is Young's modulus for this alloy of iron?

2. Relevant equations
Y = $$\frac{F/A}{dL/L}$$

3. The attempt at a solution
What is F? Is it the mass of one mole times gravity?
F = 0.056kg x 9.8 m/s2
A = 2.54e-6
dL = 0.0112
L = 2.2
Don't worry about the mole...concern yourself with the weight of the hanging mass.

#### timmay

1. The problem statement, all variables and given/known data
A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3.
Or alternatively, here's a sample of certain dimensions, here's an applied load, here's the change in length, the sky is blue and I had a sandwich for lunch. A popular technique to distract you and see if you understand what you're doing is to throw in extraneous information.

#### magma_saber

isn't young's modulus not dependent of the total mass? isn't it just based on the type of material such as iron. so it doesn't matter if the total mass is 100 kg or 1 kg, they should have the same young's modulus.

#### xxChrisxx

The mole is a useless bit of information. Youngs modulus is a material property so therefore not dependant directly on the mass or geometry for ideal cases.

It is important to note that the mass does have an effect indirectly.

In the original question: the mass of the bar is about 12g (worked this out in my head so check it). This compared to the 66Kg load is insignificant so the mass of the bar can be ignored.

However if the bar were very large (100kg) then this is obviously more significant than the load mass (66kg) so then the mass of the bar becomes important.

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