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moment of inertia gaštâvar-e laxti (#) Fr.: moment d'inertie A quantity which is a measure of the inertness of a body in rotatory motion about
an axis. It is equal to the sum of the products of the masses of all particles of the
body by the squares of their distances from this axis:
^{2}, where r is
the distance of the particle of mass _{i}m from the axis.
Moment of inertia depends only upon the shape of the body and the arrangement of its mass
with respect to the axis. For a solid sphere it is (2/5)_{i}MR^{2}.
Moment of inertia is used in place of mass in problems involving rotation. Thus,
the → angular momentum is Iω and
→ angular kinetic energy
is (1/2)Iω^{2}, where ω is
→ angular velocity. |