Physics

You are working as a summer intern for the Illinois Department of Natural Resources (DNR) and are assigned to some initial work on water resources project. The department will be overseeing the construction of a dam to create a large fresh water lake that will be approximately 18 meters deep. A horizontal pipe 1.2 meters long and 4 cm in diameter will pass through the dam at a depth of 7 meters to allow for release of the water in emergencies and for sampling. In normal situations, a plug will secure the pipe opening.

a) What will be the total force on the left side of the plug?
FLEFT = N
b) What is the total force on the right side of the plug?
FRIGHT = N
c) What is the gauge pressure on the plug?
Pgauge = Pa
d) If the plug were to be removed, how much water would flow out in 3 hours?
ΔVOL = m3

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  1. a) A*[Po + (rho) g H]
    Po is atmospheric pressure
    rho is the mass density of water, 1000 kg/m^3
    H is the water height above the hole, 7 m
    A is the pipe inner area, pi*D^2/4, in square meters

    b) A* Po

    c) (rho) g H

    d) A*(10,800 s)*V
    where V is the speed of wather leaving the pipe.

    Use Bernoulli's principle to get V.
    http://en.wikipedia.org/wiki/Bernoulli's_principle

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