In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\:mm$ and $50\:mm$, respectively. An axial force $F_{1}$ is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force $F_{2}$ when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch, and the coefficient of friction does not change, then the ratio $F_{1}/F_{2}$ is _________ (round off to $2$ decimal places).
