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A wind turbine generator has a blade diameter of 175 feet and efficiency of 34%. The air density is 1.23 kg/m³. Determine the power produced assuming a velocity of 35 miles per hour.

User Eswar
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Final answer:

The power produced by the wind turbine generator is approximately 1,237.65 kilowatts (kW).

Step-by-step explanation:

To calculate the power produced by a wind turbine generator, we can use the formula:
Power = 0.5 * air density * blade diameter^2 * efficiency * velocity^3

In this case, the blade diameter is given as 175 feet, which is equivalent to 53.34 meters. The efficiency is given as 34% or 0.34. The velocity is given as 35 miles per hour, which is equivalent to 15.65 meters per second. Finally, the air density is given as 1.23 kg/m³.

Substituting the given values into the formula, we get:
Power = 0.5 * 1.23 * 53.34^2 * 0.34 * 15.65^3

Simplifying the expression, we find that the power produced by the wind turbine generator is approximately 1,237.65 kilowatts (kW).

Power = 2280358.2503 watt.

User Onlythoughtworks
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