A ceiling fan is designed such that there are two $1$ kg blades of length $1\mathrm{.}0$ m attached to a thin massless hoop of radius $0\mathrm{.}25$ m $.$

A$)$ What is the moment of inertia of the system. $($Model the blades as thin rods$)$

B$)$ It takes $2\mathrm{.}0$ s for the fan to reach a rotational speed of $20ra\frac{d}{s}.$ What is the torque on the fan provided by the motor?