Bernoulli's Equation Pressure Calculation

A fluid with a density of 850 kg/m³ flows steadily through a horizontal pipe. At point A, the pipe has a diameter of 0.2 m, and at point B, the diameter is 0.1 m. If the pressure at point A is 200,000 Pa, what is the pressure at point B?

Assuming incompressible, steady flow and neglecting viscous effects, apply Bernoulli's equation to solve for the pressure at point B. Recall that Bernoulli's equation is given by:

P₁ + (1/2)ρv₁² + ρgh₁ = P₂ + (1/2)ρv₂² + ρgh₂

In this scenario, the height term can be neglected as the flow is horizontal, simplifying the equation to:

P_A + (1/2)ρv_A² = P_B + (1/2)ρv_B²