# Fluid Machineries

Water is flowing in a pipe with a circular cross-section area, and at all points
the water completely fills the pipe. At point 1, the cross-section area of the
pipe is 0.080-m2 and the fluid velocity is 4.50 m/s.
(a) What is the fluid speed at a point in the pipe where the cross-sectional area
is 0.101 m2?
(b) Calculate the volume of the water discharge from the open end of the pine
in 500 hours.

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1. Q = flow rate at every cross section (water is incompressible for our purposes) = v A = 4.50 m/s * 0.080 m^2 = 0.36 m^3/s
so
0.36 m^3/s * 500 hr * 3600 s/hr = 648,000 m^3 in 500 hours (heavens to Betsy, what a waste ! )
now part a
4.50 * ( .08/.101) = 3.56 m/s

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