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a. An 8cm water jet with a velocity of 25m/s impinges on a single vane in same direction at a velocity of 20m/s. If B2 = 1600 and friction losses over the vane are such that v2 = 0.8v1, calculate the force exerted by water on the vane, and its direction. (14 Marks) b. A closed vertical cylinder 400mm in diameter and 500mm high is filled with oil of relative density 0.9 to a depth of 340 mm, the remaining volume containing air at atmospheric pressure. The cylinder is rotated around its vertical axis at such a speed that oil just begins to uncover the base. Calculate the speed of rotation for this condition. (8 Marks) c. A point A on the free surface of a free vortex is at radius 250 mm and height 180mm above datum. If a free surface at a distance from the axis of the vortex, which is sufficient for its effects to be negligible, is 220mm above datum, calculate the height above datum of a point B on the free surface