Define Young's nodulus and calculate the value for a given wire.
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Define Young's nodulus and calculate the value for a given wire.
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Y = normal stress / longitudinal strain
Consider a metal wire AB of legnth l , r and of uniform area of cross section A.
let it be suspended from a rigid support at A . Let a normal Force F be applied at its free end B and let its legnth increase by delta l ( = BB')
longitudnal strain = delta l / l
Normal stress = F / A
= F / pi x r^2
Y = ( F / pi x r^2 ) / delta l / l
= F l / pi x r^2 delta l