The power output of a wind turbine can be approximated as follows: P = 0.5 xi rho AV^3 where xi is an efficiency factor, rho is air density, A is the swept area of blades (m^2), and V is the air velocity (m/s). Air density varies with temperature and pressure according to the formula rho = P/(R times T) kg/m^3 where P = pressure in Pascals (Pa), R = specific gas constant, J/(kg K) = 287.05, and T = average temperature (degrees K) = degrees Celsius + 273.15 Write a Matlab script that generates a 3D surface plot that visualises the impact of atmospheric pressure and temperature on power output. Use the pressure range from 70000 to 101000 Pa, and a temperature range from 250 to 300 K. You can assume that xi = 0.5 and that the turbine has a 20m blade radius. Use 20 m/s as air velocity. Insert correct axis labels, colorbar, and a dynamic title that indicates the range of each axis. E.g. "Characteristic of 20 m Turbine blade, 20 m/s velocity, air pressure 709-101 kPa, 250-300K'. The power output of a wind turbine can be approximated as follows: P = 0.5 xi rho AV^3 where xi is an efficiency factor, rho is air density, A is the swept area of blades (m^2), and V is the air velocity (m/s). Air density varies with temperature and pressure according to the formula rho = P/(R times T) kg/m^3 where P = pressure in Pascals (Pa), R = specific gas constant, J/(kg K) = 287.05, and T = average temperature (degrees K) = degrees Celsius + 273.15 Write a Matlab script that generates a 3D surface plot that visualises the impact of atmospheric pressure and temperature on power output. Use the pressure range from 70000 to 101000 Pa, and a temperature range from 250 to 300 K. You can assume that xi = 0.5 and that the turbine has a 20m blade radius. Use 20 m/s as air velocity. Insert correct axis labels, colorbar, and a dynamic title that indicates the range of each axis. E.g. "Characteristic of 20 m Turbine blade, 20 m/s velocity, air pressure 709-101 kPa, 250-300K