Question

The rotational kinetic energy of a body is given by E = ½ Iω2, where ω is the angular velocity of the body and I is the moment of inertia. Using this equation, work out the dimensional formula for 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

Explanation:

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}