The torque provided by an engine is given by \( T(\theta) = 12000 + 2500 \sin(2\theta) \, \text{N.m}, \) where \( \theta \) is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 rpm and it drives a machine that provides a constant resisting torque varying as \( 200 + 200 \cos(\theta) \). If variation of the speed from the mean speed is not to exceed \( \pm 0.5% \), the minimum mass moment of inertia of the flywheel should be \(\underline{\hspace{1cm}}\) kg.m² (round off to nearest integer).