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Young's Modulus help?
A hanging wire made of an alloy of iron with
diameter 0.1 cm is initially 2.1 m long and a
cubic atomic structure. When a 69 kg mass
is hung from it, the wire stretches an amount
1.1 cm. A mole (NA = 6.02 × 10^23 atoms) of
iron has a mass of 56 g/mol, and its density is
7.87 g/cm3. Use g = 9.8 m/s^2.
Based on these experimental measurements, what is Young’s modulus for this alloy
of iron?
Answer in units of N/m2
I thought I knew how to do this type of problem, but I cannot get the right answer and I have tried sooo many times. If someone could give me a step by step so I could see where I was messing up, that would be great!
1 Answer
- PearlsawmeLv 78 years agoFavorite Answer
Strain in the wire = 0.011/2.1
Stress in the wire = 69*9.8 / (3.142*0.0005*0.0005)
Young’s modulus = stress /strain = 69*9.8*2.1 /(3.142*0.0005*0.0005*0.01)
=1.64e+11 Pa
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