Question

prove by method of dimension that kinetic energy of rotating bodyis given by,,
$e= kia {r}^{2}$
where 'i'is the moment of inertia and is the angular velocity​

Answer 1

Answer:

Dimensional formula for {E} is {M^2L^2T^-2}

unit of w be rad/sec and rad being dimensionless so,

{w} = {T^-1}

and from the formula we can say that I=2K/w^2

so {I} = {K}/{w}^2

{I} = {ML^2} Answer

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Explanation