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Find the stress developed inside a too...

Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of `57^(2)C` is drunk. (Take temperature of tooth to be `37.^(@)C, alpha = 1.7 xx 10^(-5) .^(@)C^(-1)` and bulk modulus for copper `= 140 xx 10^(9) Nm^(-2)`)

Text Solution

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Stress = K `xx` strain = `K(DeltaV)/V=K(3alpha)Deltat`
= `140xx10^(9)xx3xx1.7xx10^(-5)xx20`
= `1.428xx10^(8)N//m^(2)`
This is about `10^(3)` times atmospheric pressure.
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Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57^(@)C is drunk. You can take body (tooth) temperature to be 37^(@)C and alpha_(Cu) = 1.7 xx 10^(-5)//^(@)C bulk modulus for copper B_(Cu) = 140 xx 10^(9) N//m^(2) .

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