Question

The dimensional formula of angular velocity $(\omega =\frac{v}{r})$ is

• A. $M{L}^o{T}^{-2}$
• B. $ML{T}^{-1}$
• C. $M^0{L}^0{T}^{-1}$
• D. $M{L}^o{T}^1$

Answer 1

Answer: (C)

$M^0{L}^0{T}^{-1}$

The angular velocity of a body is given by:

$\omega =\frac{V}{r}$

The dimension of $V=\left[L{T}^{-1}\right]$

The dimension of $r=\left[L\right]$

$\omega =\frac{L{T}^{-1}}{L}=T^{-1}$

$\omega =M^0{L}^0{T}^{-1}$