Imagine two circular plates; one it solid and the other has a hole cut out of th

Question

Imagine two circular plates; one it solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates. Which one of the following statements If true regarding the angular acceleration? Both plates will rotate with the same angular acceleration. The plate with the hole will have the greater angular acceleration. The solid plate will have the greater angular acceleration. Which of the following statements helps to explain the question asked above? (Select all that apply) Angular acceleration is directly proportional to the moment of Inertia.

Explanation / Answer

1) The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia. From torque = moment of inertia x angular accelaration

angular accelaration is inversely proportional to moment of inertia

Hene the answer is solid plate will have the greater angular accelaration

2) Both plates will be subjected to the same torque.

- The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia.

- Angular accelaration is inversely proportional to the moment of inertia

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