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

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: $t = \frac{\Delta t}{\frac{1}{2}\alpha(T_f-T_i)}$ $t = \frac{-1 }{\frac{1}{2}(19\times10^{-6})(-3^{\circ}C)}=24.3 \ days$