Two objects have the same torque applied to them. If one of them has a larger moment of inertia, how does its angular acceleration compare to the other?*1 pointA . The object with the larger moment of inertia has a smaller angular acceleration.B . The object with the larger moment of inertia has a larger angular acceleration.C . Both objects have the same angular acceleration.D . It depends on the direction of torque.
Question
Two objects have the same torque applied to them. If one of them has a larger moment of inertia, how does its angular acceleration compare to the other?*1 pointA . The object with the larger moment of inertia has a smaller angular acceleration.B . The object with the larger moment of inertia has a larger angular acceleration.C . Both objects have the same angular acceleration.D . It depends on the direction of torque.
Solution
The correct answer is A. The object with the larger moment of inertia has a smaller angular acceleration. This is because torque (τ) is equal to the moment of inertia (I) times the angular acceleration (α), as given by the equation τ = Iα. If the same torque is applied to two objects, the one with the larger moment of inertia will have a smaller angular acceleration.
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