Wind energy is gaining increased attention, so there is in turn an increased int

Question

Wind energy is gaining increased attention, so there is in turn an increased interest in windmill technology. Since the windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. On the right 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 445 kg- m2 and about axis B is 10800 kg - m2, calculate the moment of inertia about the axis of rotation for the entire rotating assembly. The mass of each vane is 309 kg. (Ignore the hub and assume the vanes are flat.) A strong wind blows such that the windmill begins to rotationally accelerate. What happens to the moment of inertia during this increase in angular speed?

Explanation / Answer

a) moment of inertia about center=4*309*0.0442*0.0442 =2415 kg.m^2 b) moment of ineria wont change

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