5. The U-tube shown in the figure to the right contains water. Gasoline is poure

Question

5. The U-tube shown in the figure to the right contains water. Gasoline is poured to a depth of 20 cm in the right hand side of the tube (gasoline density = 750 kg/m3; gasoline is not soluble in water so it will float on top of the water).

a) How high will the gas level in the right hand side of the tube be above the water level in the left hand side of the tube?

b) A pump is connected to the right hand tube. What gauge pressure needs to be applied to make the fluid levels on each side of the tube equal?

With gasoline still in the right hand side of the tube, the U-tube is now connected to a horizontal tube as shown to the right. The horizontal tube consists of a wide portion of radius 2.50 cm connected to the left-hand side of the U-tube, and a narrow portion of radius 0.50 cm connected to the right-hand side of the U-tube. Air flows through the narrow part of the horizontal tube at 40.0 m/s (air density is 1.20 kg/m3).

c) Assuming that air is incompressible, how fast will air be moving through the wide portion of the horizontal tube?

d) Now how high will the gas level in the right hand side of the tube be above the water level in the left hand side of the tube?

Explanation / Answer

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