Question
Oil of density 0.8gm/cc is flowing through a pipe having one end A at a height 2m from ground and other end B at a height 6m from ground. The radii of ends A and B are 1.0 cm and 0.8 cm respectively. The velocity and pressure of oil at end A is 80 cm/s and 2x106dyne/cm2. Find the velocity and pressure at end B.
Solution
Given,
Height of pipe from ground, h1 = 2m = 200 cm
Height of the pipe, h2 = 6m = 600 cm
Velocity, v1 = 80 cm/s
P1 = 2 x 106 dyne/cm2
From equation of continuity,
a1v1=a2v2 
v2 is the velocity at end B.
The bernoulli's theorem is,
Substituting the respective values, we have
P2 is pressure at end B.
