Water moves through a constricted pipe in steady, ideal flow. At the
lower point shown in figure below, the pressure is P1 = 1.75X104 Pa and the
pipe diameter is 6.00 cm. At another point y = 0.250 m higher, the pressure
is P2 = 1.20X104 Pa and the pipe diameter is 3.00 cm. Find the speed of
flow (A) in the lower section and (B) in the upper section. (C) Find the
volume flow rate through the pipe.

(a)Speed of  flow in the lower section is

(b)Speed of  flow in the upper section is

(c)Volume flow rate through the pipe is

Explanation:

Given information:

At lower point,

pressure is

pipe diameter is

At higher point,

pressure is

pipe diameter is

speed of the pipe at lower point=

area of the pipe at lower side =

speed of the pipe at higher point=

area of the pipe at higher side =

Flow is irrotational so by use of Bernoulli's equation,

We can write it as,

By continuity equation,

On substitution,

,

(b) By this

(c)Volume flow rate is,

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its c i just checked it