An ideal fluid, of density 0.90 × 103 kg/m3, flows at 5.0 m/s through a level pipe with radius of 0.5 cm. the pressure in the fluid is 1.3 × 105 n/m2. this pipe connects to a second level pipe, with radius of 1.6 cm. find the speed of flow in the second pipe.
The speed of flow in the second pipe is 0.49 m/s
In our case, this problem shows a Fluid flow. We are to solve the speed flow of fluid to the second pipe.
For the formula, we will be using the Continuity equation for Fluid flow.
is the area of the first pipe
is the speed of fluid flowing in the first pipe
is the area of the second pipe
is the speed of fluid flowing in the second pipe
For the given information
this is the radius of the first pipe
Solving the problem
Here, we focus only to solve for the speed flow of fluid in the second pipe, so we will not be needing the other information stated in the problem.
Use the continuity equation, substitute the given information.
Deriving the equation, we have:
Take note that the area for the inlet of a pipe is a circle, therefore the area of a circle is,
Substitute the area of circle in the derived formula for continuity equation, we have:
Therefore, the speed flow on the second pipe is 0.49 m/s which means that the speed flow on the second pipe slows down.
To learn more about this topic, just click on the following links;Definition of Bernoulli's principle
Hope this helps !
good night !