The space between two 6-in.-long concentric cylinders is filled with glycerin (viscosity \(=8.5 \times 10^{-3} \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\) ). The inner cylinder has a radius of 3 in. and the gap width between cylinders is \(0.1 \mathrm{in}\). Determine the torque and the power required to rotate the inner cylinder at \(180 \mathrm{rev} / \mathrm{min}\). The outer cylinder is fixed. Assume the velocity distribution in the gap to be linear.