Is the manometer reading proportional to head loss explain, Mechanical Engineering

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Is the manometer reading proportional to head loss explain

Water at 20°C flows upward at 4 m/s in a 6-cm-diameter pipe. The pipe length between points 1 and 2 is 5 m, and point 2 is 3 m higher. A mercury manometer, connected between 1 and 2, has a reading h =135 mm, with p1 higher.

(a) What is the pressure change ( p1 -p2)?

(b) What is the head loss, in meters?

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Mechanical Engineering: Is the manometer reading proportional to head loss explain

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