Calculating energy generated from a wind turbine with average wind speeds can be misleading because the power output is proportional to the cube of the wind speed. To demonstrate this, calculate the energy produced in $1$ day from a GE $1\mathrm{.}7-100$ wind turbine with a $100$ m diameter at a $50\%$ conversion efficiency, with an air density of $1\mathrm{.}225$ kg$/$m$3$ and wind speeds of:

a$)20$ mph all day

b$)30$ mph for half the day and $10$ mph for the other half