A Newtonian fluid is sheared between two concentric cylinders. The radius of the inner and the outer cylinders are R1=10mm and R2=12mm. The height of the cylinders is about 80mm and you can approximate the flow between two cylinders as two infinite parallel plates. If the torque measured at the inner cylinder is 105Nm and the inner cylinder is rotating at 100rpm, calculate the viscosity of the fluid. Write any assumptions that you need to make in order to solve this problem. ( 30 points)