Problem

Wind turbines convert the kinetic energy of wind to mechanical or electrical power. The...

Wind turbines convert the kinetic energy of wind to mechanical or electrical power. The mass of air that hits a wind turbine each second is given by:

where the density of air is 1.23 kg/m3 and the area is the area swept by the turbine rotor blades. This mass flow rate can be used to calculate the amount of kinetic energy per second that the air generates. One of the largest wind turbine in the world is in Norway and is projected to generate 10 MW of power with winds of 35 mph. The diameter of the rotor blades is 145 m. How much power is generated by the wind? Recall that power is the amount of energy per unit time.

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