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Find the fractional increase in volume...

Find the fractional increase in volume of a wire of circular cross section if its longitudinal strain is `1% . (sigma=0.30)`

Text Solution

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we know that `(dV)/(V) =(dL)/(L) (1-2sigma)`
Here, `(dL)/(L) =1% =(1)/(100) =0.01, sigma =0.30`.
The fractional increase in volume,
`(DeltaV)/(V) =0.01 (1-2xx0.30) =0.01 xx 0.40 =0.004`.
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