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Q8) 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 rpm.

The axial thrust on the clutch face is provided by 6 identical springs each with a stiffness of 8 kN/m. The coefficient of friction between the clutch plate and flywheel is 0.6.

Calculate each of the following:

a) The required compression of each spring to deliver the design power when clutch is new. (7)

b) The percentage drop in transmitted power when a total of 2 mm plate wear occurs due to wear. (9)

Note:

For constant pressure, T=2/3 μnW (r₀³ - r_i³) / (r₀² - r_i²)

For constant wear, T = μnW (r₀ + r_i) / 2

Number of effective sides = n