Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Center Given is a picture of a typical windmill, where the of mass geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 207 kg. The distance from the center of mass of the vane to axis B is k1 = 2.45 m. The distance from the center of mass of the vane to the center of the windmill hub is k, = 3.80 m. %3D If the moment of inertia of a vane about axis A is 241 kg-m2 and about axis B is 5860 kg-m2, calculate the moment of inertia Itotal of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.) I total kg-m? %3D

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Wind
energy
is gaining increased attention, generating an
increased interest in windmill technology. Because
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
Center
of mass
geometry and center of mass of one of the vanes is
illustrated. The mass of each vane is 207 kg. The distance
from the center of mass of the vane to axis B is
k, = 2.45 m. The distance from the center of mass of the
vane to the center of the windmill hub is k,
= 3.80 m.
If the moment of inertia of a vane about axis A is
241 kg-m2 and about axis B is 5860 kg-m2, calculate the
moment of inertia Itotal of the entire assembly about the
axis that passes through the windmill's hub and is
perpendicular to the screen. (Ignore the hub and assume
the vanes are flat.)
I total
kg-m?
II
Transcribed Image Text:Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because 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 Center of mass geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 207 kg. The distance from the center of mass of the vane to axis B is k, = 2.45 m. The distance from the center of mass of the vane to the center of the windmill hub is k, = 3.80 m. If the moment of inertia of a vane about axis A is 241 kg-m2 and about axis B is 5860 kg-m2, calculate the moment of inertia Itotal of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.) I total kg-m? II
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