A viscous fluid (specific weight = 80 lb/ft3; viscosity = 0.03 lb . s/ft2) is contained...

A viscous fluid (specific weight = 80 lb/ft³; viscosity = 0.03 lb . s/ft²) is contained between two infinite, horizontal parallel plates as shown in Fig. P6.73. The fluid moves between the plates under the action of a pressure gradient, and the upper plate moves with a velocity U while the bottom plate is fixed. A U-tube manometer connected between two points along the bottom indicates a differential reading of 0.1 in. If the upper plate moves with a velocity of 0.02 ft/s, at what distance from the bottom plate does the maximum velocity in the gap between the two plates occur? Assume laminar flow.