A point $\text{P}$ moves in a counter-clockwise direction on a circular path as shown in the figure. The movement of $\text{P}$ is such that it sweeps out a length $\text{s}={\text{t}}^3+5$ where $\text{s}$ is in metre and $\text{t}$ is in seconds. The radius of the path is $\mathrm{27 }\text{m}.$ The acceleration of $\text{P}$ when $\text{t}=3\text{s}$ is ____ $\text{m}/{\text{s}}^2.$ $\left(\mathrm{\text{T}}\mathrm{\text{a}}\mathrm{\text{k}}\mathrm{\text{e}}\sqrt{13}=3.6\right)$