Comparison of Hoop and Solid Disk Acceleration on Incline Plane

Which object will have greater acceleration rolling down an incline plane - a hoop or solid disk?

A. Hoop

B. Solid disk

Answer:

The solid disk will have a greater acceleration than a hoop when rolling down an incline.

When comparing the acceleration of a hoop and a solid disk rolling down an incline plane, the solid disk is expected to have a greater acceleration. This is due to the relationship between acceleration and moment of inertia. In physics, the moment of inertia of an object affects its rotational motion and how easily it can accelerate.

A solid disk has a lower moment of inertia compared to a hoop of the same mass and size. As acceleration is inversely proportional to the moment of inertia, objects with lower moment of inertia experience higher acceleration. Therefore, the solid disk, with its lower moment of inertia, will accelerate more rapidly than the hoop when rolling down an incline plane.