5.0 L/s water flows through a horizontal pipe that narrows smoothly from 10.0 cm diameter to 5.0 cm diameter. A pressure gauge in the narrow section reads 50 kPa. What is the reading of the pressure gauge in the wide section

Solution :

The volume rate of flow is given by : R = 5.0 L/s

The radius of the pipe,

∴

then,

             = 0.637 meter per second

Then the speed of the water at wider section,

Similarly, the speed of water at narrow pipe.

The radius of the m

then,

             = 2.55 meter per sec

Now from Bernoulli's theorem,

    = 50 kPa + 3.05 kPa

    = 53.05 kPa

or 53000 Pa