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# find young's modulus of metal?

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- FiremanLv 72 months agoFavorite Answer
By Young Modulus (Y) = Stress/Strain = σ/ɛ = [F/A]/[ΔL/L]

=>Y = [173 x 10^6]/[(4.6/122) x 10^-3]

=>Y = 4588.26 x 10^9 OR 4588.26 GPa

- 2 months ago
Young's modulus is defined as the ratio between normal stress and strain. They give us the stress put through the rod, and we have both the original length and the change in length, so it's just a matter of some definitions.

Strain = Length change / original range = 4.6 mm / 122 mm = 0.037705 (unitless)

Y = Stress / Strain = 173 MPa / 0.0377 = 4588.3 MPa = 4.6 GPa (to 2 s.f.)

Hope this helps!

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