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

Explanation:

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.

where

    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

or (pascal)

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.

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Explanation:

G=10m/s²

E=m.g.h

3400=(m).(10).(6)

60.m= 34.000

m=3400/60

m≈56,66kg

Hope this helps !

good night !