(4 points) (circulation and vorticity; Martin 5.6. See hints on the next page) A cylinder (rotating counterclockwise) is filled with different color fluids as shown in Figure 5.1A. The inner radius is 2 m and the outer radius is 4 m. The tangential velocity distribution is given by the function V = A/r where A = 10 m² s¹. 2m r-An Figure 5.1A (a) What is the average vorticity in the annulus filled with dark gray fluid? (Show your work). (b) What is the average vorticity of the light gray fluid? Explain. (c) Verify this result by using the natural coordinate form of vorticity at r = 3 m (the average radius of the annulus).