A wheel of the radius $0.4 \, m$ can rotate freely about its axis. A string is wrapped over its rim and a mass of $4 \, kg$ is hung. An angular acceleration of $8 \, rad \, s^{- 2}$ is produced in it due to the torque. Then, the moment of inertia of the wheel is ( $g=10 \, m \, s^{- 2}$ )