gap at the end is $0\mathrm{.}02$ inch when the temperature is $T_1=50F,$ determine the temperature required to just close the gap. $[10$ PTS$]$

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Bronze

$A=2\mathrm{.}4i{n}^2$

$E=15{10}^6$

$=12\frac{{10}^{-6}}{}F$

Aluminum

$A=2\mathrm{.}8i{n}^2$

$E=10\mathrm{.}6{10}^6$

$=12\mathrm{.}9\frac{{10}^{-6}}{}F$