Question

Relation between k. E and moment of inertia

Answer 1

For linear motion

K.E. = 1/2 mv^2

For circular motion

K.E. = 1/2 Iw^2

here, I = moment of inertia

w = angular velocity

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Answer 2

Kinetic energy KE is 1/2•m•v^2 and is in units of kg•m^2•s^-2. That unit is Joules or Newton•meter (N•m), since a Newton N is mass • acceleration in units of kg•m•v^-2.

The KE units can be understood as the FORCE N that accelerates a mass by the rate “a”, after the acceleration has moved the mass 1 m. Any force is applied to a mass, and all mass resists acceleration — the bigger the mass, the slower the acceleration that the force imparts. So given mass, and the resistance to acceleration nature gives for that specific mass, Force N = X results in a non-negotiable rate of acceleration.

All kinetic energy is based upon a vector v which means LINEAR motion.