A U-tube is filled with water until the liquid level is 30 cm above the bottom o

Question

A U-tube is filled with water until the liquid level is 30 cm above the bottom of the tube. An oil of specific gravity 0.80 is now poured into one arm of the U-tube until the level of the water in the other arm of the tube is 35 cm above the bottom of the tube. Find the level of the oil-water and oil-air interfaces in the other arm of the tube. Water flows at 0.62 m/s through a 3.0 cm diameter hose that terminates in a 0.35 cm diameter nozzle. Assume laminar non-viscous steady-state flow, At what speed does the water pass through the nozzle? If the pump at one end of the hose and the nozzle at the other end are at the same height, and if the pressure at the nozzle is 1 atm, what is the pressure at the pump?

Explanation / Answer

The water-oil interface is ,

30 cm -5 cm = 25 cm

Since the water level up 5 cm.

...................................................

If the weight of 10 cm worth of water

Is added its equivalent interms of oil is,

10 cm / 0.8 = 12.5 cm

Therefore, oil-air interface is

25 cm + 12.5 cm = 37..5 cm

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