The conversion of the kinetic energy of wind to electricity may be an attractive alternative to the use of fossil fuels. Typically, wind causes the rotor of a turbine to turn, and a generator converts the rotational kinetic energy of the rotor into electricity. Power generated by a wind turbine (Ws) can be estimated from the density of the air (ρ), wind speed (u), and turbine rotor diameter (D) using the following formula:

The conversion efficiency (η) is a function of many variables, including the electrical and mechanical properties of the turbine, the material of construction, and the blade design.
Develop an equation for the density of air (kg/m3) as a function of the temperature (K) and relative humidity of the air. Use the Antoine equation for the vapor pressure of water, and assume atmospheric pressure equals 1.0 atm.

Transcribed Image Text:

W. -imu 1 2 mư x n, where m = pAu = p² AD n- %3D