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If a force of P=2N causes the 3030 -mm-diameter shaft to slide along the lubricated bearing with a constant speed of 0.5 m/s0.5 \mathrm{~m} / \mathrm{s}, determine the viscosity of the lubricant and the constant speed of the shaft when P=8 NP=8 \mathrm{~N}. Assume the lubricant is a Newtonian fluid and the velocity profile between the shaft and the bearing is line ar. The gap between the bearing and the shaft is 1 mm1 \mathrm{~mm}.

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Given :P=2 NP=2\ N (force)

D=30 mmD=30\ mm

u=0.5 m/su=0.5\ m/s

Assume Newtonian fluid and linear velocity profile and a gap =1 mm=1\ mm

Required :Viscosity μ\mu of the fluid

The constant speed uu when P=8 NP=8\ N

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