The figure below shows the parabolic velocity profile of water flowing within a 2 m diameter cylindrical pipe at 25 C. r and R are the radial distance from the axis of the pipe and the radius of the pipe, respectively. The velocity at the axis of the pipe is vo = 1 ms. v=vo (1-)) AXIS OF THE PIPE (a) How does the viscosity of water vary with distance from the axis of the pipe? (b) Derive the equation which describe the shear stress at different radial position. (c) Determine the maximum shear stress exerted by water on the pipe. (d) Can the same equation from part (b) be used to calculate shear stress due to the mango jam from Question 1 flowing in the same pipe? Explain your answers.