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Q9. A horizontal pipe carrying water tapers from 500 mm diameter to 100 mm diameter. The volumetric flowrate is 0.1 m³/s, before increasing again to a diameter of 330 mm with a difference in height of 7 m.

(a) Calculate the velocities at all points. (6)

(b) Determine the pressure difference between point 1 and 2 and between point 2 and point 3. (10)

Note: the density of water is 1000kg/m³