Water is flowing in a pipe with a varying cross-sectional area, and at all point

Question

Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.067 m2, and the magnitude of the fluid velocity is 3.40 m/s.
(a) What is the fluid speed at points in the pipe where the cross section area is 0.105 m2?
___m/s

What is the fluid speed at points in the pipe where the cross section area is 0.047 m2?
___m/s

(b) Calculate the volume of water discharged from the open end of the pipe in 1.00 hour.
___m3

Explanation / Answer

a. ) from continuity equation A1v1 = A2v2 where A is area and v is speed 0.067 * 3.40 = 0.105 * v2 v2 = 2.169 m/sec b ) 0.067 * 3.40 = 0.047 * V V = 4.846 m/sec c ) Q = v1 * A1 = 3.40 * 0.067 m3/sec in 1 hour = 3600 sec volume of water = 820.08 m3

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