Question

14. A giant wind turbine generates electrical power with three blades with a diameter of 145 m, and are designed to run safely when the outer end of a blade is moving at around 10 m/s. a. The wind turbine is allowed to begin spinning from rest up to its maximum safe speed over the course of 150 seconds. If this happens at a uniform rate, what is the angular acceleration of the blades, in radians per second? b. After reaching maximum speed, the blades continue to rotate at a constant velocity. Through what total angle (in radians) have the blades rotated after a total of 200 seconds (that is, 150 seconds of acceleration and then another 50 seconds at constant speed)?

Answer 1

@ Way = . 19x 20 145 145 W2 = w tat 7 20 = ot 2 x 150 &= 20 xt - 9. 2x 10h rad's 145 150 a = wott tat? - ot x 9. 2x104 (15012 = 10.35 rad 0 2 = Wmaxta = 20 x 50 - 60g rad max t2 = 20 x 50 o Total s (0, +82) = 10.35+ 6.9= 17.25 rad As