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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. |
Answer» 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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