Gear is a mechanical system used to transfer mechanical and rotary motion from one mechanical system to another. As shown in the figure below the driving wheel A drives the driven wheel B without slipping and thus forms the gear system. The wheel A has 16 teeth and B has 24 teeth. Wheel B has a projection of radius $$\frac{14}{11}\,\mathrm{cm}$$.

A long massless, inextensible string can be wound or unwound over this circular projection. A mass m is attached to the free end of this long string. If the wheel A makes 6 revolutions per second in the clockwise direction, without slipping, then in $$\frac{1}{2}$$ second the potential energy of the mass m in CGS unit