1) A U-shaped tube open at both ends contains water and a quantity of oil occupy

Question

1) A U-shaped tube open at both ends contains water and a quantity of oil occupying a 1 = 2 cm. length of tube, as shown in the figure. The oil side rises a distance h above the water side. water a) Symbolically, in terms of l, h, and any other needed symbolic quantities (define them), express the pressure at the point A. Point A is at the same horizontal level as the boundary between the oil and water b) If the oil's density is .82 times that of the water, find-the numerical value for h, with units of course.

Explanation / Answer

a) Expression for pressure at point A is,

P_A = P_atm + rho_water g (l-h)

b) the pressure at points at the samelevel in the water is the same,

i.e; P1 = P2

now, P1 = P_atm + rho_water g(2cm-h)

P2 = P_atm + rho_oil g(2cm)

then,finally h =(2cm)(1-rho_oil/rho_water)

= 2cm (1-0.82)

h = 3.6 mm

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