Question

F A large commercial wind turbine has a wing span (diameter) of 110m. On a still summer day, the turbine was not rotating at all. A big dumb Canadian goose flew into the turbine, impacting one of the blades. The goose's velocity at the moment of impact was directed perpendicular to the blade, as in the picture to the right. The impact was at distance d 47.27 m from the center of rotation. The goose was in contact with the blade for 3.327 s, applying a constant force of 16.85 N. During this time, the turbine rotated by 0.0101 rad. Assuming 100% efficiency of the turbine, how much electrical power did the goose provide in the time of impact? Include units in SI. (No Canadian goose was injured in the making of this question. Nothing happens to them. They are invincible.) Answer: 2.42W Check

Answer 1

All unit in SI

Given data, wing span (diameter) of turbine = llom d=47,27 1020.010 Turbine was not rotating.. Impact of distance from centre da 47,27m Contact time = 3.3275 Applied force by goose = 16.85N Angular rotation of bladerol 0.0101 rad for contact time Torque acted by goose (T) = Force x displacement = 16.89 x 47127 = 796. 499 Nm Angular time displacement of Torque col = 0.0101 godis for displacement (s) - 3.327 S. Angular velocity of wind - Turbine (w) . Angular displacement (o) time (s) power by = 0.0/01 3.327 | Assume 100% of electricity, = 0.0030 radis. produce col Toraue applied & Angular velourcas turbine by goose CT) P-Tχω 796.499 x00030 - 2,417 nedts y 2142 kan w e P=2.42 Watt