Mr. Holder staked a gold claim in the Black Hills of South Dakota and needs at least 2000 gallons per minute of water to wash sediment through his sieves. He built a rectangular flume with rough cut (unplaned) wood that is 12 inches wide and 8 inches tall. There is 40 feet of elevation drop across the 2000-foot flume that he built. Will this flume deliver his desired flow? Show your calculations.
Only answer problem 2 please but refer to problem 1 for values.
1.) "Mr. Holder staked a gold claim in the Black Hills of South Dakota and needs at least 2000 gallons per minute of water to wash sediment through his sieves. He built a rectangular flume with rough cut (unplaned) wood that is 12 inches wide and 8 inches tall. There is 40 feet of elevation drop across the 2000-foot flume that he built. Will this flume deliver his desired flow? Show your calculations."
2.) Using the same length and elevation drop from problem 1, his next flume is going to be much larger, but Mr. Holder wants to optimize his channel area this time. He is planning to build a rectangular concrete channel (unfinished) with a cross-sectional area of 6 square feet. Varying y/b from 0.1 to 2.0, calculate and plot the flow rate and confirm that the best flow occurs when the flow depth to width ration is 0.5.
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