Question 14 of 22 Wind is gaining increased attention, so there is in turn an te

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Question 14 of 22 Wind is gaining increased attention, so there is in turn an technology. Since the windmill blades B (vanes) rotate about a central axis, one of the most important physical s of a windmillis moment of inertia. 3.15 m the right is a of a typical windmill, where the geometry and center of of one ofthe vanes is ilustrated. If the moment of about is 445 kg and about axis B is 10800 kg m calculate the moment of inertia about the of rotation for the entire rotating The mass of each vane is 207 kg. (Ignore the hub and of mass 4.88 m assume the vanes are flat.) 1.7 x 10 kg m 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? O The moment of inertia increases. O The moment of inertia decreases. O The moment of inertia does not change. ee o Previous Give Up & view solution Check Answer 0 Next 8 Exit about us careers partners privacy policy terms of use contact us help

Explanation / Answer

y1 = 3.15 m

y2 = 4.8 m

A & B are perpendicular

Iz = Ia + Ib = 445 + 10800 = 11245 kg m^2

from parllel axis theorem

Iz = Ic + m*y1^2

Ic = 11245 - (207*3.15*3.15) = 9191.0425

moment of inertia of each vane about rotating axis I = Ic + m*y2^2

I = 9191.0425 + (207*4.8*4.8) = 13960.3225 kg m^2

total moment of inertia I tot = 4I = 4*13960.3225 =
5.58*10^4 kg m^2

The moment of inertia does not depend on accelaration

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