Question

Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of water is p at a point where the velocity of flow is v, what is the pressure at another point where the velocity of flow is 2v; rhorhorhorhobeing the density of water ?

Answer 1

Answer:

using bernoulli equation:

s

ρ

+

2

v

2

=

s

ρ

′

+

2

(2v)

2

⇒

s

ρ

+

2

v

2

=

s

ρ

′

+2v

2

⇒

s

ρ

′

=

s

ρ

−

2

3v

2

ρ

′

=ρ−

2

3sv

2

.