Calculating Nonconservative Energy Loss in Pumped-Storage Reservoirs

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SUMMARY

The discussion focuses on calculating the nonconservative energy loss in a pumped-storage reservoir located 136 meters above its generating station, which holds 9.0×109 kg of water. The power plant generates 346 MW of electric power over a duration of 6.9 hours. The key calculations involve determining the gravitational potential energy of the water, the total energy generated, and the fraction of energy lost to nonconservative forces. The final goal is to quantify how much energy does not convert into electricity during the process.

PREREQUISITES
  • Understanding of gravitational potential energy calculations
  • Familiarity with power generation metrics (MW)
  • Knowledge of energy conservation principles
  • Basic proficiency in unit conversions (e.g., hours to seconds)
NEXT STEPS
  • Calculate gravitational potential energy using the formula PE = mgh
  • Determine total energy generated by converting power output over time
  • Compute the energy lost to nonconservative forces
  • Analyze the fraction of energy loss relative to initial potential energy
USEFUL FOR

Engineers, physicists, and energy analysts involved in hydropower systems, particularly those focusing on efficiency and energy loss calculations in pumped-storage reservoirs.

BMW25
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new problem!

A pumped-storage reservoir sits 136 m above its generating station and holds 9.0×10^9 kg of water. The power plant generates 346 MW of electric power while draining the reservoir over an 6.9 h period.
What fraction of the initial potential energy is lost to nonconservative forces (i.e., does not emerge as electricity)?

could you please guys help me with that? I gave up with that
I need that in hour guys please please.
 
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136 m above its generating station and holds 9.0×10^9 kg. so what is the gravitational potential energy?

346 MW over an 6.9 h... what is the energy generated here?

so how much energy is lost?

what is the fraction of this energy to the original gravitational potential energy.
 

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