The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.209 mrh=0.209 m and mass 4.32 kg4.32 kg, and two thin crossed rods of mass 9.52 kg9.52 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0525 mtd=0.0525 m thick, made out of a material with a density of 6450 kg6450 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 complete calculation of radius of the disk is given as below:-
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