A viscometer as shown below is used to measure Newtonian fluid viscosity (density , viscosity ). The fluid is placed between two discs parallel to the radius R and remains between the two discs due to surface tension. The lower disk is stationary while the upper disk is rotated with angular velocity W. Ignoring end effects and using the equation of motion table, determine: a. The equation that shows the fluid velocity profile. b. The torque required to rotate the top disc.

2B top disk fluid between two parallel discs B - bottom disk