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Hydrodynamics: Equation of continuity, rate of flow of fluid

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Q: A meter long hose of 14cm diameter is connected to a second hose which is 4 meters long and 7cm in diameter. At the open end of the second hose water flows out at a rate of 8 cm^3/sec. What is the ratio of the speed of the water flowing in the second hose to the speed of the water flowing in the first hose?

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Solution Summary

Equation of continuity is explained and used to find rate of flow of fluid in a pipe.

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Q: A meter long hose of 14cm diameter is connected to a second hose which is 4 meters long and 7cm in diameter. At the open end of the second hose water flows out at a rate of 8 cm^3/sec. What is the ratio of the speed of the water flowing in the second hose to the speed of the water flowing in the first hose?

1) (v2/v1) = 4
2) (v2/v1) = 1/3
3) (v2/v1) = 1
4) (v2/v1) = 1/2
5) (v2/v1) = 1/4
6) cannot be determined from the information given.
7) (v2/v1) = 8
8) (v2/v1) = 1/8
9) (v2/v1) = 3
10) (v2/v1) = 2

Answer:

This is the problem about the flow of a non-viscous incompressible (ideal) fluid through a pipe of ...

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