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Calculate the force required to double t...

Calculate the force required to double the length of a wire of diameter 2mm. `(Y=1.2xx10^(11)N//m^(2))`

Text Solution

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Strain `=(Deltal)/(l)=(l)/(l)1, :. Deltal=2l-1=l`
`Y+("Stress")/("Strain")=(F)/(pir^(2)x1)`, where `tau= 1 mm =10^(-3)m`
`rArr F= gamma x pi r^(2)=1.2xx10^(11) xx pi xx10^(-6)`
`F=1.2xx pi xx10^(5)N=3.768xx10^(5)N=3.810^(5)N`
`:.` Force `=3.8xx10^(5)N`
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