A pipe with a circular cross section has a diameter of 8cm. It narrows at one po

Question

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

Explanation / Answer

A. A1 = pie*4^2 = 50.26 cm^2 A2 = pie*2.5^2 = 19.63 cm^2 B. A1*V1 = A2*V2 50.26*1.5 = 19.63*V2 V2 = 3.84 m/s C. the pressure in the narrow portion of the pipe is less than than in the greater portion

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