a) Based on the differential equation that defines the change of pressure with height, obtain the equation that gives the change of air density with altitude (altitude). (Show the steps step by step while obtaining the equation). b) Using the equation you got above; Calculate the density of air at a height of 150 m (Assume the air temperature as 15 ° C and ignore the variation of temperature with altitude). c) By using the density value you obtained in (b); Calculate the power that can be obtained at a wind speed of 10 m / s from an ideal wind turbine generator with a diameter of 40 m.

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a) Based on the differential equation that defines the change of pressure with height, obtain the equation that gives the change of air density with altitude (altitude).
(Show the steps step by step while obtaining the equation).
b) Using the equation you got above; Calculate the density of air at a height of 150 m (Assume the air temperature as 15 ° C and ignore the variation of temperature with altitude).
c) By using the density value you obtained in (b); Calculate the power that can be obtained at a wind speed of 10 m / s from an ideal wind turbine generator with a diameter of 40 m.

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