University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 17 - Temperature and Heat - Problems - Exercises - Page 575: 17.12

Answer

$39.0^{\mathrm{o}}\mathrm{C}$

Work Step by Step

Apply 17-6, $\Delta L=L_{0}\alpha\Delta T$ with $\alpha_{\mathrm{s}\mathrm{t}\mathrm{e}\mathrm{e}\mathrm{l}} =1.2\times 10^{-5}(\mathrm{C}^{\mathrm{o}})^{-1} \qquad $(from table 17-1), and given $\Delta L=0.471\mathrm{f}\mathrm{t}$ $\displaystyle \Delta T=\frac{\Delta L}{\alpha L_{0}}$ $=\displaystyle \frac{0.471\mathrm{f}\mathrm{t}}{[1.2\times 10^{-5}(\mathrm{C}^{\mathrm{o}})^{-1}][1671\mathrm{ft}]}$ $=23.5\mathrm{C}^{\mathrm{o}}$ $T_{2}=15.5^{\mathrm{o}}\mathrm{C}+\Delta T=15.5^{\mathrm{o}}\mathrm{C}+23.5\mathrm{C}^{\mathrm{o}}=39.0^{\mathrm{o}}\mathrm{C}$.
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