1. Consider the steady flow in a water pipe joint shown in the diagram. The areas are:
A1=0.2 m², A2=0.2 m², and Az=0.15 m². In addition, Fluid is lost out of a hole at
section 4, estimated at a rate of 0.1m/s. The average speed at section 1 and 3 are
Vi=5m/s and V3=12m/s, respectively. Find the velocity at section 2.

-4.5 m/s

Explanation:

Assuming steady and incompressible flow and uniform properties at each section

Here V is velocity of flow and A is area, Q is flow rate out of the leak, subscript 1-4 represent different sections

At the surface,  is negative hence the equation above will be

Making  the subject of the formula then

Substituting the given values then