Question

define moment of inertia and what is the Relation of it with kinetic energy?​

Answer 1

Explanation:

Total kinetic energy, KE, is the sum of translational kinetic energy, Et, and rotational kinetic energy, Er

Et = ½mv^2 and Er = ½Iω^2,

where m is mass, v is velocity, I is mass moment of inertia and ω is angular velocity.

That is the relation between kinetic energy and the moment of inertia.

Answer 2

• The square of a distance from the axis of rotation with the sum of the product of the mass of every particle is known as the Moment of Inertia.
• Moment of inertia also expresses the amount the body is resisting the angular acceleration.
• The general formula of moment of inertia:$I=mr^{2}$
• The S.I. unit of M.I.:$kg-m^{2}$
• The energy associated with rotational motion is the same as kinetic energy in translational motion.
• The moment of inertia and the kinetic energy can be related as:
• $K.E=\frac{1I\omega^{2} }{2}$