$1.$ A motor accelerates a drum with a diameter of $1\mathrm{.}8$ m through a double reduction gear, each having a gear ratio of $1/5.$ The moment inertia of the motor shaft, intermediate shaft, and at the drum shaft are $3$ kgm$2,3$ kgm$2,$ and $2500$ kgm$2,$ respectively. A rope which is wrapped around the drum is used to lift $10$ tonnes load on an up gradient of $1$ in $50.$ If the effect of frictional torque is occurred at intermediate shaft $170$ Nm and $900$ Nm at drum shaft, find the acceleration to lift the load when the motor torque required to accelerate the system is $800$ Nm$.$ Efficiency is $90\%.$