1.  

The kinematic viscosity of a particular oil (density p= 880 kg/m) varies linearly with temperature according to: v = vo-C(T- T. ) Where vo = 7.4x104 m/s, C=10x10-6 m/s K, To=288K and I is the operating temperature in Kelvin. The oil is used in a linear bearing made of two plates. The upper plate moves at V=1.0 m/s, while the lower plate is stationary. The distance between the plates is 0.2 mm, and the plate dimensions are 100 mm x 10 mm (width x depth). Calculate the force required to move the plate when: a. The bearing is at 288K. b. The bearing has been in use for several hours and has warmed up to 50C. c. The bearing is operating in a cold environment and the oil is at -10C.