A pumped hydroelectric facility has an upper reservoir with an area of 2 $\mathrm { km } ^ { 2 }$ and an average depth of $40 \mathrm {~m}$. The average head is $200 \mathrm {~m}$. The design requires that the upper reservoir can be filled from the lower reservoir in a period of 8 hours.
(a) What is the electrical power required by the pumps? Assume a pumping efficiency of $85 \%$.
(b) What is the flow rate (in $\mathrm { m } ^ { 3 } / \mathrm { s }$ ) of water being pumped to the upper reservoir?

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The Answer of A pumped hydroelectric facility has an upper reservoir with an area of 2 $\mathrm { km } ^ { 2 }$ and an average depth of $40 \mathrm {~m}$. The average head is $200 \mathrm {~m}$. The design requires that the upper reservoir can be filled from the lower reservoir in a period of 8 hours.
(a) What is the electrical power required by the pumps? Assume a pumping efficiency of $85 \%$.
(b) What is the flow rate (in $\mathrm { m } ^ { 3 } / \mathrm { s }$ ) of water being pumped to the upper reservoir?

A Pumped Hydroelectric Facility Has an Upper Reservoir with an Area