A smooth-sided piston 5 cm long and of diameter 5.000 cm moves within a cylinder of 5.010 cm diameter. The lubricating oil has a viscosity of 2 x 10-3 N s/m2. What force is required to move the piston at a speed of 12 m/s? The velocity in the gap between the cylinder and the piston may be assumed to vary linearly, as indicated in the sketch. (Ans. 3.77 N)
Cylinder
Oil
12 m/s
Piston