A single plate clutch having one pair of contacting surfaces to transmit $15$ kW at $(14)1500$ rpm$.$ The coefficient of friction between contact face is $0\mathrm{.}35$ and the permissible intensity of pressure should not exceed $0\mathrm{.}6$ N$/2.$ The outer diameter of the clutch is $300$ mm$.$ Determine the clutch dimensions by assuming uniform wear theory.