QuestionA steel rod of length $L_{0}=70 \mathrm{~cm}$ at $T_{0}=70^{\circ} \mathrm{C}$ expands. Find its length at $T=100^{\circ} \mathrm{C}$. Also, find its length at $T=80^{\circ} \mathrm{C}$ if it was $85 \mathrm{in}$ at $T_{0}=170^{\circ} \mathrm{C}$. Lastly, express $L$ as a function of $T$ and $\alpha$ for $L_{0}=50$ \mathrm{in} at $T_{0}=130^{\circ} \mathrm{C}$.