Chapter 15, Problem 66AP

Assume that a pendulum used to drive a grandfather clock has a length $L_0=1.00$ m and a mass M at temperature $T=20.00$ °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where $L=L_0\left(1+\alpha \Delta T\right)$ and the rod is made of $\left(\alpha =18\times {10}^{-6}°{\text{C}}^{-1}\right)$ .