1 Physics -- Fluid Statics

A pipe U filled with water with density of 1000 kg/m3. One column of pipe U filled with glyserin with density of 1200 kg/m3. If the height of glyserin is 4 cm, determine the height difference of both columns of the pipe.

A pipe U filled with water with density of 1000 kg/m3. One column of pipe U filled with glyserin with density of 1200 kg/m3. If the height of glyserin is 4 cm, determine the height difference of both columns of the pipe.

Solution ,

Given ,

Density of water (ρ1) = 1000 kg/m3

Density of glycerin (ρ2) = 1200 kg/m3

Height of glycerin (h2) = 4 cm

 The height difference of both columns of the pipe. = ?

we have , 

The height of the column of the pipe (h1) :

ρh1 = ρh2

(1000)(h1) = (1200)(4)

(1000)(h1) = 4800

h1 = 4.8 cm

The height difference of both columns of the pipe U = h1 – h2 = 4.8 cm – 4 cm = 0.8 cm

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