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: $4.3m / s$