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Q1. A single plate clutch with both sides effective has an outside diameter of 380 mm and an inside diameter of 140 mm. The clutch is designed to transmit 12 kW at 600 rev/min. The axial thrust on the clutch faces is provided by six identical springs, each with a stiffness of 8 kN/m. The coefficient of friction at the clutch surfaces is 0.6. Calculate EACH of the following:

(a) The required compression of each spring to deliver the designed power when the clutch is new;

(b) The power transmitted when a total of 2 mm of plate wear occurs and the clutch is worn.

Note: For constant pressure, T =   (2μnW(R_o³-R_i³)/3(R_o²-R_i² )

For constant wear, T = (μNw(r_o+ r_i))/2

n = number of pairs of contact surfaces.