A cylindrical pipe with a cross-sectional radius r = 1.40[cm] is plunged into a l = 2.30[m] tall open water drum that is initially completely filled with water (pwater = 1000 [kg/m3]). The pipe goes h1 = 0.35 [m] above the drum before dropping down h2 = 3.50 [m] below the base of the drum as shown. The cross-sectional radius of the top side of the pipe is R = 2.20 [cm].
A. How fast is the water going out of this pipe?
B. What's the liquid's pressure at the top of the pipe? Assume that the system is exposed to 1.00 [atm] of air pressure.
C. What's the maximum height the pipe can go above the drum before the water stops flowing out of the pipe? For liquid flow to be continuous, the liquid’s pressure must not fall before its vapor pressure. Assume that vapor pressure, in this case, is 2.30 [kPa].
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