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10 Nov 2019

A large container with height 0.5 m is filled with water (ρ =1000 kg/m3) and is open to the atmosphere at the top. A pipe isattached to the reservoir and is plugged at the far end as shown inthe figure so the water is not flowing. In regions a, and b thepipe has a diameter 0.04m. Region c has a slight constrictionreducing the diameter to 0.03m. The plug is now removed from theleft end of the tube, and the water is observed to flow out of theend of the pipe (region a) with speed va = 2 m/s.



a. Calculate the speed of the water in region c.
b. Calculate the pressures in regions a, b and c.
c. Is the flow through c streamline or turbulent? Prove youranswer.

Please show all work!! Thanks

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