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A river narrows at a rapids from a width of 12 m to a

Chapter 15, Problem 57P

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QUESTION:

Problem 57P

A river narrows at a rapids from a width of 12 m to a width of only 5.8 m. The depth of the river before the rapids is 2.7 m; the depth in the rapids is 0.85 m. Find the speed of water flowing in the rapids, given that its speed before the rapids is 1.2 m/s. Assume the river has a rectangular cross section.

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QUESTION:

Problem 57P

A river narrows at a rapids from a width of 12 m to a width of only 5.8 m. The depth of the river before the rapids is 2.7 m; the depth in the rapids is 0.85 m. Find the speed of water flowing in the rapids, given that its speed before the rapids is 1.2 m/s. Assume the river has a rectangular cross section.

ANSWER:

Step 1 of 2 

The equation of continuity for an incompressible fluid is given by,

Implies the speed of water flowing in the rapids,  

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