Jesaya Marcel Gloryus

Biodata Diri

Jesaya Marcel Gloryus

2106727853

Mekanika Fluida-02

Komponen Nilai

1. Value (adab)

2. Knowledge (Faham: konsep & teori)

3. Ketrampilan (trampil menerapkan konsep, hands-on, analytical skill)

Tell me the formula to calculate different pressure of fluids in U pipe that has different height

The pressure difference between two points in a fluid can be calculated using the following formula:

ΔP = ρgh

where ΔP is the pressure difference between the two points, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two points.

In a U-tube manometer, two different fluids of different densities are used to measure the pressure difference between two points. Let's assume that the left arm of the U-tube contains fluid 1 of density ρ1 and height h1, and the right arm contains fluid 2 of density ρ2 and height h2.

The pressure difference between the two points is given by:

ΔP = (P1 - P2) = ρ1gh1 - ρ2gh2

where P1 is the pressure at the left point and P2 is the pressure at the right point.

Since the two arms of the U-tube are open to the atmosphere, the pressure at the top of the fluids in the two arms is the same and can be taken as atmospheric pressure. Therefore, P1 = Patm + ρ1gh1 and P2 = Patm + ρ2gh2, where Patm is the atmospheric pressure.

Substituting these values in the above equation, we get:

ΔP = (P1 - P2) = (ρ1 - ρ2)gh

where h = h1 - h2 is the height difference between the two fluids.

So, the pressure difference between two points in a U-tube manometer with different height fluids can be calculated using the above formula, provided the densities of the fluids and the height difference between them are known.