Each Rotation tutorial includes detailed Rotation formula and example of how to calculate and resolve specific Rotation questions and problems. The following Physics tutorials are provided within the Rotation section of our Free Physics Tutorials. Rotation Physics Tutorials associated with the Uniform Motion Calculator Please provide a rating, it takes seconds and helps us to keep this resource free for all to use We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We hope you found the Moment Of Inertia Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. You can then email or print this moment of inertia calculation as required for later use. As you enter the specific factors of each moment of inertia calculation, the Moment Of Inertia Calculator will automatically calculate the results and update the Physics formula elements with each element of the moment of inertia calculation. Please note that the formula for each calculation along with detailed calculations are available below. Moment Of Inertia Calculator Input Values Moment of Inertia of a point object rotating around a given axis calculation Moment of Inertia of a spherical shell rotating around its diameter calculation Moment of Inertia of a sphere rotating around its diameter calculation Moment of Inertia of a ring rotating around its diameter calculation Moment of Inertia of a ring rotating around its axis of symmetry calculation Moment of Inertia of a cylinder or disc rotating around its central diameter calculation Moment of Inertia of a cylinder or disc rotating around its axis of symmetry calculation Moment of inertia of a bar rotating around its end calculation Moment of inertia of a bar rotating around its centre calculation The Moment of Inertia of a point object rotating around a given axis is kg∙m 2 ![]() The Moment of Inertia of a spherical shell rotating around its diameter is kg∙m 2 The Moment of Inertia of a sphere rotating around its diameter is kg∙m 2 The Moment of Inertia of a ring rotating around its diameter is kg∙m 2 The Moment of Inertia of a ring rotating around its axis of symmetry is kg∙m 2 The Moment of Inertia of a cylinder or disc rotating around its central diameter is kg∙m 2 The Moment of Inertia of a cylinder or disc rotating around its axis of symmetry is kg∙m 2 The Moment of Inertia of a bar rotating around its end is kg∙m 2 Moment of Inertia Calculator Results (detailed calculations and formula below) The Moment of inertia of a bar rotating around its centre calculation is kg∙m 2 Moment of Inertia Calculator □ Normal View □ Full Page Viewĭistance of the point object from the rotation axis( r) m ![]() Moment of Inertia of a point object rotating around a given axis.Moment of Inertia of a spherical shell rotating around its diameter.Moment of Inertia of a sphere rotating around its diameter.Moment of Inertia of a ring rotating around its diameter.Moment of Inertia of a ring rotating around its axis of symmetry.Moment of Inertia of a cylinder or disc rotating around its central diameter.Moment of Inertia of a cylinder or disc rotating around its axis of symmetry.Moment of Inertia of a bar rotating around its end. ![]() Moment of Inertia of a bar rotating around its centre.The mass is the same in both cases, but the moment of inertia is much larger when the children are at the edge.The Moment of Inertia Calculator will calculate: ![]() For example, it will be much easier to accelerate a merry-go-round full of children if they stand close to its axis than if they all stand at the outer edge. The moment of inertia depends not only on the mass of an object, but also on its distribution of mass relative to the axis around which it rotates. The basic relationship between moment of inertia and angular acceleration is that the larger the moment of inertia, the smaller is the angular acceleration. Furthermore, the more massive a merry-go-round, the slower it accelerates for the same torque. For example, the harder a child pushes on a merry-go-round, the faster it accelerates. This equation is actually valid for any torque, applied to any object, relative to any axis.Īs we might expect, the larger the torque is, the larger the angular acceleration is. \) is the rotational analog to Newton’s second law and is very generally applicable.
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