A cone clutch has a cone angle of (40^{circ}). The maximum pressure between contact surface is limited

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A cone clutch has a cone angle of \(40^{\circ}\). The maximum pressure between contact surface is limited to \(0.3 \mathrm{~N} / \mathrm{m}^{2}\) and width of conical surface is half of the mean radius, find the radii of the conical surface to transmit \(30 \mathrm{~kW}\) at 2,000 rpm. Assume uniform wear and coefficient of friction as 0.3 .

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