Density of the liquid inside the container is 1000 kg/m3. What is the pressure difference between points A and B? Distance between points A and B is 10 cm and line AB makes an angle 30° with the horizontal.

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Answer 1 · 2018-01-19T21:36:32

The pressure difference between A and B is #490 N/m^2#.

The formula that relates vertical depth, y, in liquid with pressure is

#P = rho*g*y#

I will convert our length units to meters. The distance from A to B is 0.1 m.

The differential of the vertical depth of points A and B, y, is given by

#Deltay = 0.10 m*sin(30^@) = 0.05 m#

So the pressure differential is

#DeltaP = rho*g*Deltay = 1000 (kg)/m^3*9.8 m/s^2*0.05 m = 490 N/m^2#.

I hope this helps,
Steve