Question

Center of mass Wind energy is gaining increased attention, so there is in turn an increased interest in windmill technology. Because the windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. If the moment of inertia about axis A is 343 kg.mand about axis B is 8330 kg.m², calculate the moment of inertia about the axis of rotation for the entire rotating assembly. The mass of each vane is 411 kg. The distance from the center of mass of the vane to axis B is ki = 2.45 m. The distance from the center of mass of the vane to the center of the windmill hub is kg = 3.80 m. (Ignore the hub and assume the vanes are flat.) moment of inertia: kg.m A strong wind blows such that the windmill begins to rotationally accelerate.

Answer 1

Solution Given hat The morment of nestio about aais A 343 K9. m 2 B 8330 Kg.m aui's and K,.u5m K2 3,80 m The mass of Each Vane - uii kq Both A ond B ot the Point of thefs întessedion AtB 3u3t8330 8643 Kg.m 111 cm +m (a.45 2-cm+ m ( 3. 80

2 ,+m(9.u5- 3. Bo) T = 1,+m (6.0096- I4.uu) E 8643u0 ( 6 00 5-u u4) 5005.1815 kg m wl be lais fou blade Fa u(5305.18-5 axis)0890.15 Kg.m fnestia does not chonge. .. moment of

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