Question

If $I$ is the moment of inertia and $\omega$ the angular velocity, what is the dimensional formula of rotational kinetic energy, $\frac{1}{2}I{\omega }^2$?

• A. $\left[M{L}^2{T}^{-1}\right]$
• B. $\left[M^2{L}^{-1}{T}^{-2}\right]$
• C. $\left[M{L}^2{T}^{-2}\right]$
• D. $\left[M^2{L}^{-1}{T}^{-1}\right]$

Answer 1

The correct option is C $\left[M{L}^2{T}^{-2}\right]$

Dimensionally rotational kinetic energy $=Work$ $done=Energy$ $=\left[M{L}^2{T}^{-2}\right]$