## Water is circulating through a closed system of pipes in a two floor apartment. On the first floor, the water has a gauge pressure of 3.30 1

Question

Water is circulating through a closed system of pipes in a two floor apartment. On the first floor, the water has a gauge pressure of 3.30 105 Pa and a speed of 2.0 m/s. However, on the second floor, which is 4.4 m higher, the speed of the water is 3.5 m/s. The speeds are different because the pipe diameters are different. What is the gauge pressure of the water on the second floor

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3 years 2021-08-21T13:37:10+00:00 2 Answers 4 views 0

P₂ = 2.82755 * 10⁵ Pa

Explanation:

Parameters for the first floor:

Guage pressure, P₁ = 3.30 * 10⁵ Pa

Speed, v₁ = 2.0 m/s

Height of the first floor = h₁

Parameters of the second floor:

Guage Pressure, P₂ = ?

Speed = 3.5 m/s

height of the second floor = h₂

From the question, h₂ – h₁ = 4.4 m, i.e. h₁ – h₂ = – 4.4 m

Density of water,

According to the Bernoulli’s equation

Explanation:

Given Data

height of the second floor=

solution:

For this type of numericals we use Bernoulli’s Equation which states as;

we know that

and

putting these values, we get

using calculator, we get