Water is slightly coming out from a vertical pipe. As the water descen

1.	Water is slightly coming out from a vertical pipe. As the water descends after coming out, its area of cross section reduces. Explain this on the basis of the equation of continuity.
Answer» In the continuity of flow, the rate of flow of the volume of the liquid remains constant. That is, Av = constant. If the cross-sectional area of the pipe is A and the velocity of the liquid V, also the cross-sectional area of the flow after descending some distance A' and velocity V' then from the continuity equation A'V' =AV →A' =A(V/V') Since the coming out liquid is falling under gravity, V'>V →V/V' <1 Thus A' < A. So as the water descends the area of the cross section reduces.

Water is slightly coming out from a vertical pipe. As the water descends after coming out, its area of cross section reduces. Explain this on the basis of the equation of continuity.

Answer»

In the continuity of flow, the rate of flow of the volume of the liquid remains constant. That is, A*v = constant. If the cross-sectional area of the pipe is A and the velocity of the liquid V, also the cross-sectional area of the flow after descending some distance A' and velocity V' then from the continuity equation A'V' =AV

→A' =A*(V/V')

Since the coming out liquid is falling under gravity, V'>V

→V/V' <1 Thus A' < A.

So as the water descends the area of the cross section reduces.

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Water is slightly coming out from a vertical pipe. As the water descends after coming out, its area of cross section reduces. Explain this on the basis of the equation of continuity.

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