Physics

1.A brass wire 80 cm long and 0.3 cm in diameter is used to hang an object weighing 6.5 x 10 ^5 dynes. Find stress, strain and young's modules.

2. To one end of a wire 1.2 m long and 0.4 cm in diameter is hung on object with a mass of 10 kg. The wire is found to be elongate 1.34 x 10^4m. Calculate stress, strain and young's modules.

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  1. Stress
    = force/area

    1.
    stres= 6.5*10^5 dynes / (π(0.3)²/4 cm²)
    = 9195619 dynes/cm²
    = 919.6 kPa
    Young's modulus nor strain cannot be derived from the given information.

    2.
    Stress = force /area
    10 kg * 9.8 m/s² ÷ (π0.004²/4 m²)
    = 7.80 mPa
    strain
    =Elongation / original length
    =1.34*10^(-4) m / 1.2 m (check typo)
    =1.12 * 10^(-4)

    Young's modulus
    = stress/strain
    = 7.8 *10^6 / (1.12*10^(-4))
    = 6.96*10^10 Pa
    = 69.6 GPa (corresponds to that of aluminium)

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    posted by MathMate

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