Measurement of Moment of Inertia of Objects Based on the Law of Conservation of Angular Momentum

The rapid advancement of science and technology has rendered the moment of inertia a pivotal parameter in engineering, with significant applications in mechanical engineering and other domains. In undergraduate physics experiments, the determination of moment of inertia is predominantly confined to conventional techniques such as the three-wire pendulum method and the torsional pendulum method. However, in everyday scenarios, the objects requiring measurement are frequently irregular in shape. This paper, grounded in the principle of conservation of angular momentum, derives the correlation between the moment of inertia of the object in question and the angular velocity of a large disk. It translates the measurement of the objects moment of inertia into a measurement of the large disks angular velocity. This approach not only enhances the precision of measurement but also simplifies and accurate the process of determining the moment of inertia of the object.