A wind farm has 45 turbines, each producing 2.4 megawatts (MW) of power. If 12% of the total energy is lost during transmission, how much usable energy in megawatts reaches the grid?
["Wind Farm Energy Output: How Many Megawatts Reach the Grid?", "Wind energy is a powerful contributor to clean electricity generation, and understanding the efficiency of energy transmission is key to assessing performance. A recent example illustrates how large-scale wind farms deliver usable energy to the grid despite inevitable losses.", "A wind farm with 45 turbines, each generating 2.4 megawatts (MW) of power, produces a total theoretical output of:", "[\n45 \ ext{ turbines} \ imes 2.4 \ ext{ MW/turbine} = 108 \ ext{ MW}\n]", "However, during transmission, approximately 12% of the generated energy is lost due to resistance in power lines, conversion inefficiencies, and other technical factors. To find the usable energy that reaches the grid:", "1. Calculate the total energy loss:\n[\n12% \ ext{ of } 108 \ ext{ MW} = 0.12 \ imes 108 = 12.96 \ ext{ MW}\n]", "2. Subtract the loss from the total output:\n[\n108 \ ext{ MW} - 12.96 \ ext{ MW} = 95.04 \ ext{ MW}\n]", "Thus, the wind farm delivers 95.04 megawatts (MW) of usable power to the grid after accounting for transmission losses.", "This demonstrates the importance of a well-designed transmission infrastructure to minimize energy waste and maximize clean power delivery. With advancements in grid technology, wind farms like this continue to play a vital role in sustainable energy systems worldwide."]
