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Question about Hydrodynamics: Flow Rate

Subject Physics

Physics

Source Originais Teachy

Originais Teachy

Topic Hydrodynamics: Flow Rate

Hydrodynamics: Flow Rate

Difficulty Hard

Hard

(Originais Teachy 2025) - Question Hard of Physics

In an industrial facility, a piping system is employed to transport water for cooling machinery. The primary pipe has an inner diameter of 0.5 meters, and the water moves at a steady speed of 4.0 m/s. At a certain junction, the main pipe divides into two branches: the first has a diameter of 0.3 meters, while the second has a diameter of 0.2 meters. Taking into account the continuity of the flow and assuming there are no losses in volume, calculate the water velocities in each branch after the split of the main pipe.

First branch (diameter of 0.3 m): 10.00 m/s Second branch (diameter of 0.2 m): 20.00 m/s

After the main pipe splits, the water velocities are: - First branch (diameter of 0.3 m): 11.11 m/s - Second branch (diameter of 0.2 m): 25.00 m/s

First branch (diameter of 0.3 m): 13.33 m/s Second branch (diameter of 0.2 m): 26.67 m/s

First branch (diameter of 0.3 m): 14.00 m/s Second branch (diameter of 0.2 m): 28.00 m/s

First branch (diameter of 0.3 m): 12.00 m/s Second branch (diameter of 0.2 m): 24.00 m/s

Answer sheet:

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