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The Total Volume of the Upper Reservoir of a Pumped 300,000 m2300,000 \mathrm {~m} ^ { 2 }

Question 11

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The total volume of the upper reservoir of a pumped hydroelectric facility flows through the turbines over a period of 8 hours. The upper reservoir has an area of 300,000 m2300,000 \mathrm {~m} ^ { 2 } and an average depth of 15 m15 \mathrm {~m} .
(a) What is the average flow rate (in cubic meters per second) between the upper and lower reservoirs?
(b) If the water between the two reservoirs flows through a (circular) penstock with a diameter of 7.5 m7.5 \mathrm {~m} , what is the average velocity of the water?

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