At a certain location, wind is blowing steadily at 18 m/s. Determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 80-m-diameter blades at that location. Also, determine the actual electric power generation, assuming an overall efficiency of 30 percent. Take the air density to be 1.25 kg/m3.

Explanation:

Given data

Diameter d=80m

Speed v=18 m/s

Efficiency n=30%

Air density p=1.25 kg/m³

For Mechanical energy of air per unit mass

The power potential of wind per unit mass could be defined as follow:

For  Power generation potential

The generation potential of turbine will determined from the available kinetic energy of air:

For Actual power

The actual power generation could be defined as follow as:

  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.