A merry$-$go$-$round accelerates from rest to $0\mathrm{.}69$ rad$/$s in $30$ s$.$ Assuming the merry$-$go$-$round is a uniform disk of radius $8\mathrm{.}0$ m and mass $3\mathrm{.}1010^4$ kg $,$ calculate the net torque required to accelerate it$.$