Thermal diffusivity $\backslash$alpha can be evaluated from the time delay $$t of travelling temperatures at different positions by using following equation;$$t$$L$=14\backslash$pi f$\backslash$alpha

where $$L is the distance between a point with respect to reference position. Considering the experiment shown in the Lab $3$ video is carried out at periodic heating frequency f of $80$ mHz$.$ It is found that the measured periodic temperatures $($sin wave temperature$)$ at position $1,2,3,4$ and $5$ can be fitted with the following equations;

Position $1$: $0\mathrm{.}24$ sin $(0\mathrm{.}502046$ t $+15\mathrm{.}61663)+0\mathrm{.}005893+40\mathrm{.}2[$oC$]$

Position $2$: $0\mathrm{.}235$ sin $(0\mathrm{.}502046$ t $+15\mathrm{.}54556)+0\mathrm{.}005174+40\mathrm{.}19[$oC$]$

Position $3$: $0\mathrm{.}233$ sin $(0\mathrm{.}502046$ t $+15\mathrm{.}46294)+0\mathrm{.}005384+40\mathrm{.}18[$oC$]$

Position $4$: $0\mathrm{.}192$ sin $(0\mathrm{.}502046$ t $+15\mathrm{.}38383)+0\mathrm{.}005144+40\mathrm{.}17[$oC$]$

Position $5$: $0\mathrm{.}177$ sin $(0\mathrm{.}502046$ t $+15\mathrm{.}27061)+0\mathrm{.}005106+40\mathrm{.}16[$oC$]$

where t is the time in second. Plot the the time evolution of these temperatures and show at the graph the possible time delay. In the results inside the lab report, please show this graph and there is no need to calculate the thermal diffusivity. Kindly write the result and discussion about experiment:Thermal diffusivity measurement