A clutch in a motor car is of single-plate type having both sides of the plate effective. It is required to transmit \(35 \mathrm{~kW}\) at \(1500 \mathrm{rpm}\). The axial thrust is \(0.075 \mathrm{MPa}\). The ratio between the external and internal radii of the plate is 1.5 and coefficient of friction is 0.25 . Assuming uniform pressure, determine the dimensions of the clutch.