## Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson

# Chapter 17 - Exercises and Problems - Page 315: 70

#### Answer

The clock will be fast; it will be off by one minute in 24.3 days.

#### Work Step by Step

We know the following two equations: $T = 2\pi \sqrt{\frac{L}{g}}$ $\frac{T_2}{T_1}=\sqrt{1 + \alpha \Delta T}$ Using these equations, we can find the equation for change in time: $t = \frac{\Delta t}{\frac{1}{2}\alpha(T_f-T_i)}$ $t = \frac{-1 }{\frac{1}{2}(19\times10^{-6})(-3^{\circ}C)}=24.3 \ days$

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