a) Pressure will be (rho)gh with rho being the density of water (which I don't know offhand)
b)Mass flow rate (4500/seconds in a day) = (rho)Av. Where A is Pi r^2.
c) I'm guessing this is a Bernoulli with (rho)gy1 = 1/2(rho)v^2 + (rho)gy2
Sorry this is a little sketchy, I'm doing this off the top of my head.
Water is pumped through a pipe of
diameter 15.0 cm from theColorado River
up to Grand Canyon Village, on the rim of
thecanyon. The river is at 564 m
elevation and the village isat 2096 m.
(a) At what minimum pressure must the water be pumped to arrive atthe village? (b) If 4500 m3 are pumped per day, what
is the speed of the waterin the pipe? (c) What additional pressure is necessary
to deliver this flow?Note: You may
assume that the free-fall acceleration
and thedensity of air are constant over
the given range of elevations.
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