A multi-plate clutch of alternate bronze and steel plates having effective diameters of \(175 \mathrm{~mm}\) and \(72.5 \mathrm{~mm}\) has to transmit \(25 \mathrm{~kW}\) at \(2000 \mathrm{rpm}\). The end thrust is \(1600 \mathrm{~N}\) and coefficient of friction is 0.1 . Calculate the number of plates necessary assuming uniform pressure.