The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.27 kg, and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.27 kg, and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
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![The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r =
0.368 m and mass 5.27 kg,
and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m
thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia
about its center as the old wheel about its center, what should the radius of the disk be?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf238986-8ffc-4b99-b1ca-533b8fe8c6d3%2Fd4f9ed96-87b2-4658-955f-a28ca0684122%2F4fhhqa8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r =
0.368 m and mass 5.27 kg,
and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m
thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia
about its center as the old wheel about its center, what should the radius of the disk be?
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