A car has a three cylinder engine which produces maximum torque of 200 N-m at 2000 rpm. The power is transmitted by a single plate friction clutch of 230 mm outside diameter. Design dimensions of friction surfaces. Further when the car is engaged at a speed of 60 km/hr, calculate the clutch slip period (time) during engagement.
Additional data as under:
(i) Engine speed at beginning of clutch engagement: 2000 rpm
(ii) Engine torque at engagement: 100 N-m
(iii) Mass of car (loaded) : 1500 kg
(iv) Wheel diameter: 710 mm
(v) Coefficient of friction: 0.3
(vi) Permissible pressure for friction material: 0.25 N/mm2
(vii) Mass moment of inertia of engine rotating parts, flywheel and driving side of clutch 1.5kg-m2
(viii) Gear reduction at differential: 4.12
(ix) Torque available at the rear wheels: 105 N-m
Uniform wear theory may be used for the clutch plate design.