A glass tube of cross sectional area 10^-4 m^2 is partially filled with water. An oil with a density of 800kg/m3 is poured in the tube and floats on top of the water. The height of the oil above the water surface is 8cm. a)What is the change in pressure at a depth of 10cm below the water surface? Answer says 0.6 kilopascals but I don't know why. b) Would the pressure at this depth increase or decrease if you add more oil to the tube and why?
Well before it was just the atmospheric pressure (if it's open) plus the water. Now it's the oil + atmospheric pressure + the water already in the glass. Is oil denser than air? No. So the pressure must increase.
\[P(10 cm) = P(atm) + P(oil) + P(water)\]
In which the oil FLOATS 8 cm above the water. It's asking you for the change in pressure at 10 cm. So the change in pressure will be New pressure - old pressure. Therefore, old pressure = rho(water)*g*h(water), new pressure = rho(oil)*g*h(oil) + rho(water)*g*h(oil)
The height of the water isn't given though..
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