Question

Water is flowing through a pipe of inner diameter 1.6 cm at a speed of 4.3 m/s. If the pipe is at a height of 5.2 m and then descends to a height of 2.1 m, what is the speed of the water at the lower height?

Answer 1

To solve this problem we will use the concepts related to the continuity of the fluid in a channel. For this we know that the proportion or relationship:

`Q_1 = Q_2` \rightarrow volumetric flow rate

`A_1V_1 = A_2 V_2`

Where,

A_{1,2} = Area at each section

V_{1,2} = Velocity at each section

Since the pipe preserves its diameter, we will have to
`A_1 = A_2` and therefore immediately that

`V_1 = V_2`

Therefore the speed at the exit will be the same:
`4.3m / s`