(Solved): 13-28 Commercially available large wind turbines have blade span diameters larger than \( 100 \mat ...

13-28 Commercially available large wind turbines have blade span diameters larger than \( 100 \mathrm{~m} \) and generate over 3 MW of electric power at peak design conditions. Consider a wind turbine with a \( 75-\mathrm{m} \) blade span subjected to \( 25-\mathrm{km} / \mathrm{h} \) steady winds. If the combined turbine-generator efficiency of the wind turbine is 32 percent, determine \( (a) \) the power generated by the turbine and \( (b) \) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be \( 1.25 \mathrm{~kg} / \mathrm{m}^{3} \), and disregard frictional effects on the mast. FIGURE P13-28