![]() Note: Integers (numbers without a decimal period or exponent notation) are considered accurate up to 15 digits and the maximum number of digits after the decimal point is 10. You can use this online converter to convert between several hundred units (including metric, British and American) in 76 categories, or several thousand pairs including acceleration, area, electrical, energy, force, length, light, mass, mass flow, density, specific volume, power, pressure, stress, temperature, time, torque, velocity, viscosity, volume and capacity, volume flow, and more. The Unit Conversion page provides a solution for engineers, translators, and for anyone whose activities require working with quantities measured in different units. ![]() This online unit converter allows quick and accurate conversion between many units of measure, from one system to another. Using the Moment of Inertia Converter Converter In SI, the moment of inertia is measured in kg The moment of inertia is also called rotational inertia, mass moment of inertia, or polar moment of inertia of mass. An object that is rotating tends to remain rotating and will continue to do so unless acted upon by an external net torque. The moment of inertia is the inertia of a rotating body with respect to its rotation. It is a property of a distribution of mass in space that measures its resistance to rotational acceleration about an axis as well as its tendency to preserve this rotation. The moment of inertia is a measure of an object’s resistance to any change in its state of rotation. ![]() When sizing linear systems, the most important use for mass moment of inertia is probably in motor selection, where the ratio between the load inertia and the motor inertia is a critical performance factor.Mechanics Mechanics is the branch of physics, which studies the behavior of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. The mass moment of inertia equation for a point mass is simply:įor a rigid body, the mass moment of inertia is calculated by integrating the mass moment of each element of the body’s mass: Mass moment of inertia, like planar moment, is typically denoted “I,” but unlike planar moment, the units for mass moment of inertia are mass-distance squared (lbft 2, kgm 2). It has the same relationship to angular acceleration that mass has to linear acceleration. Mass moment of inertia (also referred to as second moment of mass, angular mass, or rotational inertia) specifies the torque needed to produce a desired angular acceleration about a rotational axis and depends on the distribution of the object’s mass (i.e. I = planar moment of inertia Mass moment of inertia Unsupported shafts are also analyzed using beam deflection calculations.Ĭantilever beam with a concentrated load at the free end ![]() In linear systems, beam deflection models are used to determine the deflection of cantilevered axes in multi-axis systems. The planar moment of inertia of a beam cross-section is an important factor in beam deflection calculations, and it is also used to calculate the stress caused by a moment on the beam. The equation is the same as planar moment of inertia, but the reference distance becomes the distance to an axis, rather than to a plane. Second moment of area can be either planar or polar. Polar moment of inertia describes an object’s resistance to torque, or torsion. Planar moment of inertia is expressed as length to the fourth power (ft 4, m 4). If it’s unclear which type of moment is specified, just look at the units of the term. Terminology varies, and sometimes overlaps, for planar moment and mass moment of inertia. Planar moment of inertia (also referred to as second moment of area, or area moment of inertia) defines how an area’s points are distributed with regard to an arbitrary plane and, therefore, its resistance to bending. But it’s critical to know which type of inertia-planar moment of inertia or mass moment of inertia-is given and how it affects the performance of the system. Moment of inertia is an important parameter when sizing and selecting a linear system.
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