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Water flows through a pipe of radius 24 cm. The pipe narrows to 8 cm radius. Compared to the 24 cm radius section, the velocity of the water in the 8 cm radius section is: g

Respuesta :

Answer:

The velocity of the water at the 8 cm section is 9 times the velocity of the water at 24 cm section.

Explanation:

For this question, we use the equation of continuity of an non-compressible  fluid in a pipe

[tex]A_{1} v_{1} =A_{2} v_{2}\\\\\pi r_{1}^{2}v^{2} = \pi r_{2}^{2}v^{2} \\\\\pi (24)^{2}v_{1} ^{2} = \pi (8)^{2}v_{2} ^{2}\\\\576v_{1} = 64v_{2}\\\\v_{2} = 9 v_{1}[/tex]

The velocity of the water at the 8 cm section is 9 times the velocity of the water at 24 cm section.

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