Large wind turbines with a power capacity of 8 mw and blade span diameters of over 160 m are available for electric power generation. consider a wind turbine with a blade span diameter of 100 m installed at a site subjected to steady winds at 8 m/s. taking the overall efficiency of the wind turbine to be 34 percent and the air density to be 1.25 kg/m3, determine the electric power generated by this wind turbine. also, assuming steady winds of 8 m/s during a 24 hour period, determine the amount of electric energy and the revenue generated per day for a unit price of $0.09/kwh for electricity.

85413.20177 W

2050.831684248 kWh

184.5748512 dollars

Explanation:

d = Diameter of blade = 100 m

r = Radius =

= Efficiency = 0.34

= Density of air = 1.25 kg/m³

V = Velocity of wind = 8 m/s

A = Area =

The power of a wind turbine is given by

The power is 85413.20177 W

Energy is given by

The energy is 2050.831684248 kWh

The revenue is given by

The revenue generated is 184.5748512 dollars

seeing the graph would

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.