Rotational Motion

An object of mass \(1 \mathrm{~kg}\) is allowed to hang tangentially from the rim of the wheel of radius R. When released from the rest, the block falls vertically through \(4 \mathrm{~m}\) height in 2 seconds. The moment of inertia is \(1 \mathrm{~kg} \mathrm{~m}^2\). The radius of the wheel \(\mathrm{R}\) is