As an intern at an engineering firm, you areasked to measure the moment of inertia of a large wheel for rotationabout an axis perpendicular to the wheel at its center. You measure thediameter of the wheel to be 0.640 m. Then you mount the wheel onfrictionless bearings on a horizontal frictionless axle at the center of thewheel. You wrap a light rope around the wheel and hang an 8.20 kgblock of wood from the free end of the rope. You releasethe system from rest and find that the block descends 12.0 m in4.00 s. What is the moment of inertia of the wheel for this axis?

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As an intern at an engineering firm, you are
asked to measure the moment of inertia of a large wheel for rotation
about an axis perpendicular to the wheel at its center. You measure the
diameter of the wheel to be 0.640 m. Then you mount the wheel on
frictionless bearings on a horizontal frictionless axle at the center of the
wheel. You wrap a light rope around the wheel and hang an 8.20 kg
block of wood from the free end of the rope. You release
the system from rest and find that the block descends 12.0 m in
4.00 s. What is the moment of inertia of the wheel for this axis?

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