The dimensional formula of angular velocity is: [PMT/NEET-1996]
a. $M^{0}L^{0}T^{-1}$
b. $MLT^{-1}$
c. $M^{0}L^{0}T^{1}$
d. $ML^{0}T^{-2}$
Solution
Angular velocity $\omega = \dfrac{\theta}{t}$.
Angle $\theta$ is dimensionless, so
$
[\omega] = T^{-1}
$
which is $M^{0}L^{0}T^{-1}$.
Answer
a. $M^{0}L^{0}T^{-1}$