Question: A pipe with a circular cross section has a diameter of 8 cm. It narrows at one point to a diameter of 5 cm. The

A pipe with a circular cross section has a diameter of 8 cm. It narrows at one point to a diameter of 5 cm. The pipe is carrying a steady stream of water that completely fills the pipe and is moving with a speed of 1.5 m/s in the wider portion.
a. What are the cross-sectional areas of the wide and narrow portions of the pipe? (A = πr³ and the radius is half the diameter.)
b. What is the speed of the water in the narrow portion of the pipe?
c. Is the pressure in the narrow portion of the pipe greater than, less than, or equal to the pressure in the wider portion? Explain.

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