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Unformatted text preview: — 1 — Problem. Lake A round lake of diameter d is fed by a river and drained by seepage. The normal flow rate of the river is Q in = 10 4 gal / min and is equal to the rate of seepage. Thus, the water level in the lake is constant. Should the lake level rise, the water from the lake flows through a triangular notch in a retaining wall and into a flood plain. Normally the water level matches the bottom of the triangular notch. !"#$% ’$($’ )* ’"+$ ), *%."’’/ "# #0$ 1##. 2 #0$ #%)"*34’"% *#50 )* #0$ 6".7 8)$9 2 6". 2%. 2’6 :’")* Suddenly the flow rate of the river increases to 1.5 times the normal rate. The extra water flows out through the triangular notch at a rate determined by the height of the lake above the bottom of the notch. Q notch = αh 5 / 2 (in gal/min) a) What are the units of α if h is measured in meters? Solution. Since Q notch has units gal/min, α must have units of gal min · m 5 / 2 ....
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 Fall '07
 BERMAN
 Thermodynamics, Steady State, River, Qin

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