The moment of inertia is the rotational mass of the body, whereas torque is the rotational force functioning on it. Now the acceleration of the fan will depend on how much the moment of inertia the fan has and how much torque we need to induce. When we switch on the fan, we induce a torque to it. Newton’s laws of motion relate the torque and moment of inertia in rotational motion. Therefore, the body’s moment of inertia (I) is I = MR 2. In rotational motion, the inertia quantity is considered as the moment of inertia of a body, determined by integrating the total masses M of the particles and their distances R from its axis of rotation. The quantity of the body that expresses the mass distribution is called the ‘ moment of inertia’. Hence, the amount of torque required to accelerate the particles within the body depends on the mass distribution of the whole body. Torque and Moment of InertiaĮach particle within such a rotating body has its masses, and they all revolve about the body’s center axis of rotation. Consequently, Newton’s first law of motion has also termed the Law of Inertia. That’s why inertia is inversely proportional to the acceleration of the body. We have understood in the previous articles that inertia is the property of the body, which represents the body’s tendency to oppose the motion. That’s why every rigid body executes rotational motion about its axis bears an angular acceleration when torque is induced. That means the body obtains the acceleration depending on its total mass and the strength of the applied external force.Įmploying Newton’s principle in rotational motion, when torque or moment of force is generated on the body at rest or moving, it initiates accelerating angularly. Newton’s laws of motion express that the body stays stationary or moves from one point to another with a distinct velocity unless any external force acts on it. That’s why the torque yielded on the body is the product of its moment of inertia and angular acceleration. When torque is induced on the body, it begins accelerating inversely proportional to its moment of inertia. The torque and moment of inertia maintain the body under rotatory motion. The article discusses the relation between torque and moment of inertia of the rotating body and its solved problems.
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