Question

a tank is filled with water density of 1 g/cm3 and oil of density 0.9g/cm3. the height of water layer is 100cm and of the oil of layer is 400cm. if g = 980cm/s2 , the velocity of efflux from a opeming in th bottom of the tank is

Answer 1

Let d(w) and d(o) be densities of water and oil resp, then the pressure at the bottom of the tank will be

= h(w).d(w).g + h(o).d(o).g

Let this pressure be equivalent to pressure due to water of height h

h.d(w).g = h(w).d(w).g + h(o).d(o).g

h = h(w) + [ h(o).d(o) / d(w) ]

h = 100 + [ 400(0.9) / 1 ]

h = 100 + 360 = 460 cm

According to Toricelli's theorem

[tex]v = \sqrt{2gh} v = \sqrt{2 * 980 * 460} v = \sqrt{920 * 980} v = \sqrt{901600} [/tex]

velocity of efflux = 949.53 cm/s 

Answer 2

The solution is provided in the attachment.
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