As a summer intern assigned to the Olympics Kayaking committee, you need to dete

Question

As a summer intern assigned to the Olympics Kayaking committee, you need to determine the speed of water flowing through a rapids section of the river in order to classify the rapids. For the purposes of your calculation, you assume the river has a rectangular cross section. You determine that for the region of interest, the river narrows from a width of 14 m to a width of 5.0 m and the depth of the river decreases from 2.0 m to 0.82 m. You also know that the speed of the river before the rapids is 2.3 m/s. Determine the speed of the river through the section of rapids.

___________ m/s

Explanation / Answer

Conserving volume

Area*velocity=constant

Initial area *velocity=final area *velocity

14*2*2.3=v*5*0.82

We got

v=15.7 m/s

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