513-5 air flows from left to right through a horizontal


Please answer all the questions starts from 5.1.1-2

5.1.3-5 Air flows from left to right through a horizontal pipe that has different diameters in two different sections, as shown below. The narrow section has a radius of 5.0 cm, and the wider section has a radius of 20 cm. At point 1 the air is flowing with a velocity of 10 m/s, and has an absolute pressure of 150,000 Pa. A narrow u-shaped tube has been attached to the air tube, and thisu-tube is filled with water. Note that no air  actually flows into or out of the ushaped tube, but instead flows right across its openings. The pressures at points 1 and 2 are different, so the water in the u-shaped tube is not level. Assume that the transitions between the sections have a negligible effect on the frictionless flow of air, and that the density of air is constant throughout the pipe. Apply the energy density model to this situation and find the speed of the air and its pressure at point 2 and the difference in heights of the water in the u-shaped tube.

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