What is the speed of the water in the narrower section of pipe, if water flows through a pipe of cross sectional area 10 cm^2 with speed 34 cm/s?

The pipes cross sectional area then narrows to 5 cm^2 further downstream.

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This problem requires the continuity equation to determine the speed of water in the narrower section:

A1*v1 = A2*v2

A1 = 10 cm^2 and A2 = 5 cm^2

v1 = 34 cm/s and v2 has to be determined:

10*34 = 5*v2

v2 = 10*34/5

v2 = 68 cm/s

**The speed of water in the narrower section of the pipe is v2 = 68 cm/s.**

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