Question

Water, with a density of ? = 1135 kg/m³, flows in a horizontal pipe. In one segment of the pipe the flow speed is v1 = 7.13 m/s. In a second segment the flow speed is v2 = 2.77 m/s. What is the difference between the pressure in the second segment (P2) and the pressure in the first segment (P1) ?

Answer 1

To calculate the difference in pressure between two segments of a pipe, we can use Bernoulli's equation, which states that the total pressure of a fluid is constant along a streamline when there is no friction or external forces acting on it.

Step-by-step explanation:

To determine the difference in pressure between the two segments of the pipe, we can use Bernoulli's equation which states that the total pressure of a fluid is constant along a streamline when there is no friction or external forces acting on it.

The equation is given as:
P + 1/2 * ρ * v^2 + ρ * g * h = constant

Where P is the pressure, ρ is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height above a reference point.

Since the pipe is horizontal and the height above the reference point is the same for both segments, we can disregard the third term in the equation. Therefore, the difference in pressure can be calculated by subtracting the term 1/2 * ρ * v^2 from both segments.