GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\mathit{m}\mathit{m}$ and $50\mathit{m}\mathit{m}$, respectively. An axial force ${\mathit{F}}_1$ is needed to, transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force ${\mathit{F}}_2$ when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumes to be uniform for an old clutch, and the coefficient of friction does not change, then the ratio ${\mathit{F}}_1/{\mathit{F}}_2$ is (round off to 2 decimal places).