Two cylinders of equal mass are made from the same material. The one with the larger diameter accelerates _ the other under the action of the same torque.
Correct answer: A. Faster than.
- A. Faster than.
- B. Slower than.
- C. Equal to.
- D. None f these.
Explanation
a) Faster than: This option suggests that the cylinder with the larger diameter accelerates at a faster rate than the other cylinder under the same torque. This is the correct answer. According to the principle of rotational dynamics, the moment of inertia of an object increases with its radius (diameter), and therefore a larger diameter cylinder will have a larger moment of inertia. As a result, it will require a smaller angular acceleration (angular velocity change per unit time) to achieve the same angular speed as the smaller diameter cylinder when acted upon by the same torque.
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