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For steel the breaking stress is 6 xx 10...

For steel the breaking stress is `6 xx 10^6 N /m^2` and the density is` 8xx10^3kg/m^3` What is the maximum length of a steel wire , which can be suspended without breaking under its own weight?

Text Solution

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Weight = mg = V d g = A L d g
Breaking stress = `(Mg)/A = (ALdg)/A`
Ldg[L maximum length]
`therefore L = "Breaking stress"/(dg) = (8 xx 10^6)/(8 xx 10^3 xx 10) = 100m`
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