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Q9. A freshwater cooling system discharges into an observation tank through a 50 mm diameter horizontal pipe.

The flow from the pipe strikes the centre of a flat square plate which is hinged at its upper edge.

The plate has a side length of 150 mm and uniform thickness.

During maintenance the original 1.5 kg plate was replaced with a new plate of the same dimensions but of mass 2 kg.

The effect of friction in the hinge may be ignored.

(a) Sketch the system of forces acting on the plate. (4)

(b) Calculate EACH of the following:

(i)The mass flow rate when the 1.5 kg plate was at an angle of 30° to the vertical;(8)

(ii) The percentage change in mass flow when the 2 kg plate is now at an angle of 30° to the vertical. (4)