Water flows through a horizontal pipe of variable cross section The pressure is 1cm of mercury column when the - Physics - Units and Measurements

Question

Water flows through a horizontal pipe of variable cross section The
pressure is 1cm of mercury column when the velocity 35cms-1 Find
the pressure at a point where the velocity is 60cms-1
pls answer the question with the same values , don'thyperlink a sum
of the same kind
Thank u sooo much

Vijay Shankar Yadav · Accepted Answer

Dear Student,
Apply Bernoulli's Theorem

$P_{1} + \frac{1}{2} ρ v^{2} + ρ g h_{1} = P_{2} + \frac{1}{2} ρ v_{2}^{2} + ρ g h_{2}$

Since pipe is at same horizontal level

$So, P_{1} + \frac{1}{2} ρ v_{1}^{2} = P_{2} + \frac{1}{2} ρ v_{2}^{2}$

Given That P₁ = 0.01 m of Hg = 1333.2 Pa

v₁ = 0.35 m/s

v₂= 0.6m/s

P₂= ?

ρ = 1000 kg/m³

1333.2 + 0.5 × 1000 (0.35)² = P₂ + 0.5 × 1000 (0.6)²

1333.2 + 61.25 = P₂ + 180

⇒ P₂= 1214.45 Pa
here 1cm of Hg =1333.2Pa
so 1Pa=1/1333.2 cm of Hg
1214.45pa=1214.45/1333.2cm of Hg
=.91cm of mercury
Regards

Water flows through a horizontal pipe of variable cross section. The pressure is 1cm of mercury column when the velocity 35cms-1 . Find the pressure at a point where the velocity is 60cms-1 . pls answer the question with the same values , don'thyperlink a sum of the same kind. Thank u sooo much

Water flows through a horizontal pipe of variable cross section. The pressure is 1cm of mercury column when the velocity 35cms-1 . Find the pressure at a point where the velocity is 60cms-1 .
pls answer the question with the same values , don'thyperlink a sum of the same kind.
Thank u sooo much