The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius m = 0.421 m and mass 5.65 kg, and two thin crossed rods of mass 8.66 kg each. You would like to replace the wheels with uniform disks that are 0.0651 m thick, made out of a material with a density of 7370 kilograms 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? Number 0.0651 m

University Physics Volume 1
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 76P: The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4...
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The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius m = 0.421 m
and mass 5.65 kg, and two thin crossed rods of mass 8.66 kg each. You would like to replace the wheels
with uniform disks that are 0.0651 m thick, made out of a material with a density of 7370 kilograms 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?
Number
0.0651 m
Transcribed Image Text:The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius m = 0.421 m and mass 5.65 kg, and two thin crossed rods of mass 8.66 kg each. You would like to replace the wheels with uniform disks that are 0.0651 m thick, made out of a material with a density of 7370 kilograms 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? Number 0.0651 m
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