Problem

Consider a u-tube filled with water. The u-tube is opened on both ends. Oil is poured into the u-tube until the column of oil is 27.2 cm tall, measured from the oil-water interface. The water level on the other side is 2.18 cm shorter than the column of oil. Calculate the density of oil in units of kilograms per cubic meters.

Hint: The density of water is 1000 kg per cubic meter.

U-tube.jpg

Solution

Consider the diagram above. Note that the oil and water are not mixed. The pressure at the level of the oil-water interface is.

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