FLUID DYNAMICS (PHYSICS)

Question

Can anyone help me with this problem?

A pipe has a diameter of 24 cm at one end which is located at 1.5 m above the ground, and a diameter of 12 cm at the other end which is 4.0 m above the ground as shown below. Water is pumped at a pressure of 120,000 Pascals into the pipe at the ground level with a speed of 1.0 m/s. What is the water pressure as it exits from the other end? Assume that the density of water is 1,000 kg/m3 and g is 9.8 m/s2.) Hint: Determine first the speed at the exit and then use Bernoulli’s Equation.

It doesn't let me attach the picture sorry about that:((

Answer 1

Use continuity: Volume rate is constant because water is incompressible v₁A₁ = v₂A₂

v₂ = v₁A₁/A₂ = v₁d₁²/d₂² = 4v₁

Bernoulli equation is P₁ + ρgh₁ + 1/2 ρv₁² = P₂ + ρgh₂ + 1.2 ρv₂²

You know everything except P₂. Solve for it. (h₂ = 0)