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fluid mechanics problem set
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Problem set: Hydrostatics1. An unknown immiscible liquid seeps into the bottom of an open oil tank. Some
measurements indicate that the depth of the unknown liquid is 1.5m and depth of the
oil (specific weight 8.5 kN/m3) floating on top is 5m. A pressure connected to the
bottom of the tank reads 65 kPa. What is the specific gravity of the unknow liquid?
2. Sometimes when riding an elevator or driving up or down a hilly road, a person’s ear
‘pop’ as the pressure difference between inside and outside the ear equalize.
Determine the pressure difference associated with this phenomenon if it occurs during
a 15m elevation change.
3. In the international standard atmosphere, the troposphere extends to the height of
11km, where the pressure is 22.6kPa (abs). In the next layer called the stratosphere,
the temperature is constant at -56.5 oC. Determine the pressure and density in this
layer at 15km.
4. A mercury manometer is connected to a large reservoir of water. Determine the ratio
hw/hm for hw and hw shown in the figure.
5. Two pipes are connected by a manometer as shown in the figure. Determine the pressure
difference, PA-PB, between the pipes.
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