A shaft with a diameter of 100mm rotates at 9000 rpm in a journal bearing that is 70mm long. A uniform lubricant gap of 1mm separates the shaft and the bearing. The lubricant properties are = 0.03 N.s/m and k = 0.15 W/mK, while the bearing material has a thermal conductivity of K = 45 W/m.K. a) Determine the viscous dissipation, (W/m), in the lubricant. b) Determine the rate of heat transfer (W) from the lubricant, assuming no heat is lost through the shaft. Bearing, k Shaft 100 mm diameter 200 mm- y(mm) Lubricant Bearing Shaft Water cooled surface, Twc = 30C .Tb X Lubricant