8) a horizontal pipe of 50 cm2 cross-sectional area carries a fluid of unknown density at a speed of 3.0 m/s. this pipe feeds a smaller pipe of cross section 25 cm2 . if the pressure difference between the two sections of pipe is 9000 pa, find the density of the fluid.

fluid density,

Given:

Area of cross section of larger pipe,

Area of cross section of smaller pipe,

Velocity of fluid, = 3.0 m/s[/tex]

Pressure difference, p = 9000 Pa

Solution:

Using Bernoulli's equation:

               (1)

where

= inlet velocity

= velocity at outlet

and = vertical heights

= density of the fluid

and = Pressure

Since, the pipe is horizontal, thus:

=

Thus eqn (1) reduces to :

Now,

           (2)

Also, from the eqn of continuity:

Now, using the value of   in eqn (2) for fluid density:

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