A cylindrical mixing vessel containing oil with its axis vertical has an internal diameter of 1.3 m. An impeller of diameter 0.6 m near the base of the vessel rotates concentrically with the axis of the drum at 102 rpm. A compound (mixed) vortex is formed. Assume that all fluid within the 0.6 m impeller diameter rotates as a forced vortex and that the oil outside this core moves as a free vortex. The fluid can be considered incompressible and inviscid.

(a) Determine the speed and the (gauge) pressure within the fluid at a vertical position 0.05 m above the base of the vortex, and radial position r = 0.22 m