![]() Moment of inertia, also known as rotational inertia, mass moment of inertia, angular mass, and second moment of mass is a measure of an object's resistance to change in its rotational motion. We have also discussed the polar moment of inertia, area moment of inertia, first moment of area in our previous article here we will learn only about the moment of inertia. It is also used to determine the stability of an object when it is rotating, as well as to predict the motion of objects under the influence of external forces or torques. It is used to calculate the torque required to rotate an object about a given axis, as well as the angular acceleration of the object under the influence of a given torque. Moment of inertia concerned with the dynamics. In physics and mechanics, the moment of inertia plays an important role in the analysis of the rotational motion of objects. If you have any doubts on this topic you can ask me in the comment section.In this article, you will learn a complete overview of the moment of inertia such as its definition, formula of different sections, units, depending factors, calculation, and many more. This is all from this article on the moment of inertia and its formula for different shapes. ![]() But in junior classes, it is considered a scalar quantity. Is moment of inertia a scalar quantity or vector quantity? Answer: Moment of inertia is a Tensor quantity.On which parameters the moment of inertia depends? Answer: Moment of inertia depends on the mass of the object, Axis of rotation of the object and the distance of the object from the axis of rotation.While calculating the M.O.I., you need to consider the values accordingly. ![]() These parameters L, R and M do not have equal values in each body. Here, L is the length of the rod and cylinder, R is the radius of the circle or ring, disk, sphere and cylinder and M represents the mass of each object. This is the most common formula for moment of inertia.Īnd, \small List of moment of inertia of different shapes Where m is the mass of the object and r is the distance of the object from the axis of rotation. It can be used to solve numerical problems. But this is not the 100% correct definition. Sometimes, the moment of inertia is defined as the multiplication between the mass of the object and the square of the distance of the object from the axis of rotation. The moment of inertia of a rotating object is defined as the amount of external torque required to produce a unit amount of angular acceleration in that object. ![]() A torque can rotate an object and produces angular acceleration in that object. But the rotational motion arises due to the presence of a Torque. ![]() In linear motion, a force produces acceleration in a body.
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