Geologists use pendula to find tiny differences in the earth's gravitational field from one position to another because these differences provide information on what is underground. A simple pendulum is calibrated to have a period $2\mathrm{.}0000$s at standard gravity of $9,8$ m$/$s$.$ At a field location, it is observed that the period is $2\mathrm{.}0083$s$.$ Find the effective acceleration of gravitational to $5$ sig digits at that location.