Question

Water flows through a horizontal pipe (from a wider area to narrow area section) and then out into the atmosphere at a speed v1 15 m/s. The diameters of the wide and narrow sections of the pipe are 5.0 cm and 3.0 cm.
What volume of water flows into the atmosphere during a 10 min period?

Answer 1

Answer:

V = 6.36 m³

Explanation:

For this exercise we will use fluid mechanics relations, starting with the continuity equation.

Let's write the flow equation

        Q = v₁ A₁

       

The area of ​​a circle is

        A = π r²

Radius is half the diameter

        A = π/4  d²

        Q = v₁ π/4 d₁²

        Q = π/ 4 15 0.03 2

        Q = 0.0106 m3 / s

The volume of water in t = 10 min = 10 60 = 600 s

        Q = V / t

        V = Q t

         V = 0.0106 600

          V = 6.36 m³