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Malik Vijay Issac
Asked: 2022-11-03T08:37:43+05:30 In:

A tooth cavity is filled with a copper having coefficient of linear expansion `1.7 xx 10^(-5) .^(@)C^(-1)` and bulk modules `1.4 xx 10^(11) Nm^(-2)`. The temperature of the tooth `3.^(@)C`. Calculate the thermal stress developed inside the tooth cavity when hot milk at temperature of `60 .^(@)C` is drunk.

A tooth cavity is filled with a copper having coefficient of linear expansion `1.7 xx 10^(-5) .^(@)C^(-1)` and bulk modules `1.4 xx 10^(11) Nm^(-2)`. The temperature of the tooth `3.^(@)C`. Calculate the thermal stress developed inside the tooth cavity when hot milk at temperature of `60 .^(@)C` is drunk.
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  1. Here, `alpha = 1.7 xx 10^(-5) .^(@)C_(1)`
    `B = 1.4 xx 10^(11) Nm^(-2)`,
    `Delta T = 60 – 35 = 25 .^(@) C`
    Thermal stress `= B gamma Delta T = (3 alpha) Delta T`
    `=(1.4 xx 10^(11)) xx (3 xx 1.7 xx 10^(-5)) xx 25`
    `=1.78 xx 10^(8) Nm^(-2)`.

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